What is the value of x in this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answers
Answer:
58.85°
Step-by-step explanation:
You want to know the measure of the angle in the right triangle that has hypotenuse 29 and adjacent side 15.
CosineThe cosine function relates angles and sides by ...
Cos = Adjacent/Hypotenuse
cos(x) = 15/29
The inverse function is used to find the angle value:
x = arccos(15/29) ≈ 58.85°
The value of x is about 58.85°.
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Related Questions
You save $8,500.00. You place 40% in a savings account earning a 4.2% APR compounded annually and the rest in a stock plan. The stock plan decreases 3% in the first year and increases 7.5% in the second year.
A. What is the total gain at the end of the second year for both accounts combined?
B. If you had invested 60% in the savings account and the rest in the stock plan, what is the difference in the total gain compared to the original plan?
Answers
The total gain at the end of the second year for both accounts combined is $509.09.
We have,
Amount saved = $8500
40% of 8500 is saved in saving account = 0.4 x 8500 = $3400
Remainder amount in stock plan = 8500 - 3400 = 5100
Working for savings plan
A = P(1 + r/n[tex])^{nt[/tex]
A = 3400(1 + 0.042/1)²
A = $3691.60
So, we gain = 3691.6 - 3400 = $291.6
Working for stock plan:
The stock plan decreases 3% in the first year
= 5100 x 0.97
= $4947
and increases 7.5% in the second year.
= 4947 x 1.75
= $5318.03
So, we gain = 5318.03 - 5100 = $218.03
Thus, the total gain is
= 291.06 + 218.03
= $509.09
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Find the surface area of the figure. Round the the
nearest hundredth when necessary.
22 in
17 in
19 in
35 in
20.3 in
Answers
The surface area of the figure = 2733.3 sq. in.
First we fine the surface area of the top surface of the figure.
The top surface is an rectangle with length = 19 in. and width = 17 in
Using the formula for the area of rectangle, the area of top face would be,
A₁ = 19 × 17
A₁ = 323 sq. in.
The slant face of the figure is a rectangle with length = 22 in. and width = 17 in
Using the formula for the area of rectangle, the area of slant surface of the figure would be,
A₂ = 22 × 17
A₂ = 374 sq. in.
There are two parallel trapezoidal surface of the figure with bases 35 in. and 19 in. respectively.
The height of the trapezoid = 20.3 in.
Using the formula for that area of trapezoid, the area of two trapezoidal surface of the figure would be,
A₃ = 2 × (sum of lengths two bases/2) × height
A₃ = 2 × (35 + 19/2) × 20.3
A₃ = 1096.2 sq. in.
The area of the bottom surface would be,
A₄ = 35 × 17
A₄ = 595 sq. in.
The area of right surface would be,
A₅ = 20.3 × 17
A₅ = 345.1 sq. in.
So, the total surface area would be,
A = A₁ + A₂ + A₃ + A₄ + A₅
A = 323 + 374 + 1096.2 + 595 + 345.1
A = 2733.3 sq. in.
Therefore, the surface area of the figure = 2733.3 sq. in.
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Find the complete question below.
full method please
-6+28÷(-4)
Answers
Answer:
-13
Step-by-step explanation:
To add fractions, find the lowest common denominator and then combine
the salaries of engineers at a computer company are normally distributed with mean $83,422 and standard deviation $8,278
Answers
The probability of observing an income between $70,000 and $90,000 for engineers at this computer company is 0.6217, or about 62.17%.
To solve this problem, we need to standardize the given income range using the standard normal distribution, which has a mean of 0 and a standard deviation of 1. We can do this by using the formula:
z = (x - μ) / σ
where x is the income, μ is the mean income, and σ is the standard deviation.
For the lower bound of $70,000, we have:
z₁ = (70,000 - 83,422) / 8,278 = -1.62
For the upper bound of $90,000, we have:
z₂ = (90,000 - 83,422) / 8,278 = 0.79
We can now find the probability of observing an income between $70,000 and $90,000 by calculating the area under the standard normal curve between z₁ and z₂.
We can use a standard normal distribution table or a calculator to find this probability, which turns out to be approximately 0.6217. This means that about 62.17% of engineers at this company earn an income within this range.
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Complete question is:
The salaries of engineers at a computer company are normally distributed with mean $83,422 and standard deviation $8,278. What is the probability of observing an income between $70,000 and $90,000?
Solve the following for θ, in radians, where 0≤θ<2π.
−sin2(θ)−2sin(θ)+1=0
Select all that apply:
0.75
2.5
2.71
0.95
0.43
2.04
Answers
Answer:2.71
0.43 are correct
Step-by-step explanation:We can solve this quadratic equation in sin(θ) by using the substitution u = sin(θ):
-u^2 - 2u + 1 = 0
Multiplying both sides by -1, we get:
u^2 + 2u - 1 = 0
We can use the quadratic formula to solve for u:
u = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = 2, and c = -1. Substituting these values, we get:
u = (-2 ± sqrt(4 + 4)) / 2
u = (-2 ± 2sqrt(2)) / 2
Therefore, either:
Use the mapping shown above to show the value of the function ƒ(x) at each point.
Answers
The value of the function ƒ(x) at each point is ƒ(–1) = 5, ƒ(0) = 3, ƒ(1) = 5, ƒ(2) = 11, ƒ(3) = 21, the correct option is B.
We are given that;
f(-1)=5 f(0) = 3 f(1) = 5 f(2) = 11 f(3) = 21
Now,
The function ƒ(x) maps each value of x to a corresponding value of y. For example, when x = –1, y = 5, so ƒ(–1) = 5. Similarly, when x = 0, y = 3, so ƒ(0) = 3, and so on. The other options are incorrect because they either reverse the order of x and y, or they do not match the values given in the mapping.
Therefore, by the given domain and range the answer will be ƒ(–1) = 5, ƒ(0) = 3, ƒ(1) = 5, ƒ(2) = 11, ƒ(3) = 21.
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The complete question is;
Use the mapping shown above to show the value of the function ƒ(x) at each point. Question options: A) ƒ(1) = 5, ƒ(0) = 3, ƒ(1) = 5, ƒ(2) = 11, ƒ(3) = 21B) ƒ(–1) = 5, ƒ(0) = 3, ƒ(1) = 5, ƒ(2) = 11, ƒ(3) = 21C) ƒ(–1) = 5, ƒ(0) = 3, ƒ(1) = 5, ƒ(2) = 21, ƒ(3) = 11D) ƒ(5) = –1, ƒ(3) = 0, ƒ(5) = 1, ƒ(11) = 2, ƒ(21) = 3.
Exponential model. Further research of the new disease has confirmed that its spread is
not linear, but exponential. Experts have estimated it to double every 7 days when it is
first introduced to a population.
Suppose there were 3 cases reported on the morning of day 1 of the outbreak. How many
cases will there be by the end of day 21?
Answers
Answer:
Since the disease doubles every 7 days, the number of cases on day 21 will be 2^3 times the number of cases on day 14, which will be 2^2 times the number of cases on day 7, which will be 2^1 times the number of cases on day 1.
Starting with 3 cases on day 1, we can use the formula:
N = 3 * 2^(t/7)
where N is the number of cases after t days.
Plugging in t = 21, we get:
N = 3 * 2^(21/7) = 3 * 2^3 = 24
Therefore, there will be 24 cases by the end of day 21.
Step-by-step explanation:
Rachel works at a lemonade stand at the park on Monday. She used 1 2/5 bags of lemons on Tuesday. She used 1 1/4 times as many lemons as on Monday. How many bags of lemons did Rachel use on Tuesday?
Answers
Let's start by finding how many bags of lemons Rachel used on Monday. We know she used a whole number of bags plus a fraction, so we'll need to convert the mixed number to an improper fraction:
1 2/5 = 7/5
So Rachel used 7/5 bags of lemons on Monday.
On Tuesday, Rachel used 1 1/4 times as many lemons as on Monday. To find out how many bags of lemons that is, we can multiply the amount Rachel used on Monday by 1 1/4:
1 1/4 = 5/4
5/4 times 7/5 = 35/20 = 7/4
So Rachel used 7/4 bags of lemons on Tuesday, which is the same as 1 3/4 bags of lemons.
Therefore, Rachel used 1 3/4 bags of lemons on Tuesday.
quadratic equations. A positive real number is 4 less than another. When 8 times the larger is added to the square of the smaller, the result is 48.
Answers
Substituting y = x + 4 into the second equation, we get:
8(x + 4) + x^2 = 48
Expanding and rearranging, we get:
x^2 + 8x - 16 = 0
Using the quadratic formula, we can solve for x:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = 8, and c = -16. Plugging in these values, we get:
x = (-8 ± sqrt(8^2 - 4(1)(-16))) / 2(1)
Simplifying, we get:
x = (-8 ± sqrt(96)) / 2
x = (-8 ± 4sqrt(6)) / 2
x = -4 ± 2sqrt(6)
Since x is a positive real number, we take the positive root:
x = -4 + 2sqrt(6)
Now that we have found x, we can use y = x + 4 to find y:
y = -4 + 2sqrt(6) + 4
y = 2 + 2sqrt(6)
Therefore, the two real numbers are approximately -4 + 2sqrt(6) and 2 + 2sqrt(6).
What happens to a consistent slope when the y value starts to decrease and the x value remains the same over time?
A. Y decreases and X decreases
B. Y decreases and X increases
C. Y increases and X increases
D. Y increases and X decreases
Answers
The correct answer is option B:
⇒ Y decreases and X increases.
Given that;
the y value starts to decrease and the x value remains the same over time.
Now, We know that;
the slope remains constant, but the y value decreases as you move along the slope in the negative y direction, while the x value increases.
Hence,
If the y value starts to decrease while the x value remains the same over time on a consistent slope,
Thus, The correct answer is option B:
⇒ Y decreases and X increases.
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6. It takes Ms. Singleton 36 minutes to get ready
for school. This is 4 times as long as it takes Ms.
Mullaney to get ready for school. How long does
it take Ms. Mullaney to get ready for school?
Answers
4x9=36
Select the correct answer. Which point lies on the circle represented by the equation (x − 3)2 + (y + 4)2 = 62? A. (9,-2) B. (0,11) C. (3,10) D. (-9,4) E. (-3,-4) Reset Next
Answers
Answer: The point that satisfies the equation is E. (-3, -4).
Explanation:
To determine which point lies on the circle represented by the equation (x − 3)² + (y + 4)² = 6², we can substitute the coordinates of each point into the equation and see which one satisfies the equation.
A. (9, -2): (9 − 3)² + (-2 + 4)² = 6²
(6)² + (2)² = 36
36 + 4 = 40 ≠ 36
B. (0, 11): (0 − 3)² + (11 + 4)² = 6²
(-3)² + (15)² = 36
9 + 225 = 234 ≠ 36
C. (3, 10): (3 − 3)² + (10 + 4)² = 6²
(0)² + (14)² = 36
0 + 196 = 196 ≠ 36
D. (-9, 4): (-9 − 3)² + (4 + 4)² = 6²
(-12)² + (8)² = 36
144 + 64 = 208 ≠ 36
E. (-3, -4): (-3 − 3)² + (-4 + 4)² = 6²
(-6)² + (0)² = 36
36 + 0 = 36
The point that satisfies the equation is E. (-3, -4).
Approximate e^-0.11 to 4 decimal places
Answers
Answer: 0.8958
Step-by-step explanation:
pleas anwear fast
Graph the function.
�
(
�
)
=
4
⋅
(
3
2
)
�
f(x)=4⋅(
2
3
)
x
f, left parenthesis, x, right parenthesis, equals, 4, dot, left parenthesis, start fraction, 3, divided by, 2, end fraction, right parenthesis, start superscript, x, end superscript
Answers
The graph of the function f(x) = 4(2/3)^x is added as an attachment
How to determine the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x)=4⋅(
2
3
)
x
Express the equation properly
So, we have
f(x) = 4(2/3)^x
The above expression is a an equation of a exponential function
Next, we plot the graph using a graphing tool
To plot the graph, we enter the equation in a graphing tool and attach the display
See attachment for the graph of the function
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PLS HELP!
write an equation of the ellipse with foci at (0 ±10), and vertices at (0 ±11)
Answers
The histograms display the frequency of temperatures in two different locations in a 30 day period. A histogram titled “Temps in Desert Landing” with When comparing the data, which measure of variability should be used for both sets of data to determine the location with the most consistent temperature?
Answers
The measure of variability that should be used for both sets of data to determine the location with the most consistent temperature is:
Range, because Flower Town is symmetric
How to Interpret the Histogram?A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data points over a range of successive numerical intervals of equal width. The independent variable and dependent variable are plotted along the horizontal axis and the vertical axis, respectively, in the most typical type of histogram.
Now, from the given histograms, we can see that Desert landing is skewed while Flower town is symmetrical entirely.
Thus, The measure of variability that should be used for both sets of data to determine the location with the most consistent temperature is:
Range, because Flower Town is symmetric
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A group consists of seven Democrats and eight Republicans. Four people are selected to attend a conference.
a. In how many ways can four people be selected from this group of fifteen?
b. In how many ways can four Republicans be selected from the eight Republicans?
c. Find the probability that the selected group will consist of all Republicans.
a. The number of ways to select four people from the group of fifteen is
b. The number of ways to select four Republicans from the group of eight Republicans is
c. The probability is
Answers
There 1365 ways to choose four people from the group of fifteen.
b. There are 70 ways to choose four Republicans from the group of eight Republicans.
C. The probability is about 0.0513, or 5.13%.
What is the probability about?a. To know the ways that four people can be selected from this group of fifteen is by:
nCr = n! / (r! x (n-r)!),
Where:
n = total number of items
r = is the number of items to be selected,
! = the factorial of a number.
Putting in the values into the the formula:
15C4 = 15! / (4! x (15-4)!)
(15-4)! = 11!
15C4 = 1365
B. Since:
n = 8
r = 4
Putting in the values into the the formula:
8C4 = 8! / (4! x (8-4)!)
(8-4)! = 4!
8C4 = 70
c. The Probability = Number of ways to choose four Republicans / Number of ways to choose four people
Hence Probability = 70 / 1365
= 0.0513
Therefore, the probability that the selected group will consist of all Republicans is about 0.0513, or 5.13%.
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PLEASE HELP ( WILL GIVE BRAINLIEST)
Answers
Answer: Option C.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
Given that the diameter of the container is 24 ft, the radius (r) would be half of that, which is 12 ft.
The depth of the container (h) is given as 4 ft.
Plugging in these values into the formula, we get:
V = π(12^2)(4)
V = 3.14(144)(4)
V = 1808.6 cubic feet (rounded to the nearest tenth)
So, the storage container can hold approximately 1808.6 cubic feet of wood, rounded to the nearest tenth.
Step-by-step explanation:
the football team needs a new player. using the data displays, determine an appropriate measure of center and measure of spread for each potential player's data
Answers
a) From the box plot of Dwayne's data, the measure of center = 9 and the measure of spread = 5
b) From the box plot of Mitchell's data, the measure of center = 10 and the measure of spread = 2
c) From the box plot of Terry's data, the measure of center = 10 and the measure of spread = 2
We know that in the box plot the measures of spread include the interquartile range and the mean of the data set.
Whereas, the measures of center include the mean or average and median.
For the Dwayne's box plot the interquartile range is 11 - 6 = 5
And the median is 9
So, the measure of center = 9 and the measure of spread = 5
For the Mitchell's box plot the interquartile range is 11 - 9 = 2
And the median is 10
So, the measure of center = 10 and the measure of spread = 2
For the Terry's box plot the interquartile range is 11 - 9 = 2
And the median is 10
So, the measure of center = 10 and the measure of spread = 2
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select the correct answer. which expression is equivalent to this polynomial ? x^2 +12
Answers
The expression that is equivalent to this polynomial "x²+12" is option A. (x + 2√3i) (x — 2√3i)
How did we get the value?In mathematics, a polynomial is an expression consisting of variables and coefficients that concern only the operations of addition, subtraction, multiplication, and nonnegative integer exponents.
A. (x + 2√3i) (x — 2√3i)
= (x² + 2√3i)² (i² = -1)
= (x² - 12x (— 1)
= x² + 12
B. (x + 6i) (x - 6i)
= (x² - (6i)²
= x² + 36
C. (x + 2√3)²
= x² + 4√3x + 12
D. (x + 2√3) (x - 2√3)
= x² - (2√3)²
= x² - 12
Therefore, the correct answer is as given above. Option A. (x + 2√3i) (x — 2√3i) is equivalent to the given polynomial.
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The complete question goes thus:
Which expression is equivalent to this polynomial?
x²+12
OA. (x + 2√3i) (x — 2√3i)
B. (x+6)(x-61)
Oc. (x + 2√3)2
OD. (x + 2√3) (x - 2√3)
Jacob needs to know the volume of the cylinder shown. Which expression will give him the correct volume
Answers
Answer:
3.14 (24 square) (2.5)
Step-by-step explanation:
3.14 24 square 2.5
X radius squared X height???
What are the angles of rotation for a regular
pentagon? (Select all that apply)
a) 60
B) 72
c)90
d) 144
e) 180
f)216
g) 360
Answers
Answer:
c,,e,b,f
Step-by-step explanation:
Assume a triangle ABC has standard labeling. Determine whether SAA,ASA,SSA,SAS,SSS is given and then whenever the law of cosine or the law of sines should be used to solve the triangle
Answers
In the given triangle ABC,
i. SAS is given
ii. The law of cosine can be used to solve it.
What is the cosine rule?The cosine rule is a mathematical principle that can be applied to determine the unknown length of side, or measure of the internal angle of a none right angled triangle.
The cosine rule states that;
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos C
Considering the given attachment to the question, for a standard labelling of triangle ABC. It can be observed that;
a. The given properties of the triangle are: Side-Angle-Side (SAS)
b. The angle given is an included angle, so that the cosine law is required to solve the triangle.
Therefore, the answer is: SAS, law of cosine
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PLEASE HELP HURRY FAST PLEASE THANK YOU! please put answers as either a b c or d thank you and please help me on every single one ill give brainiest if completed thanks
4. Find the rational roots of x^4+5x^3+7x^2-3x-10=0
A. -2,1
B. 2,1
C. -2,-1
D. 2,-1
5. Find all the zeros of the equation 3x^2-4=-x^4
A. 1,2i
B. -1,-2i
C. 1,-1,2i,-2i,0
D. 1,-1,2i,-2i
6. What is a polynomial function in standard form with zeros 1,2,-2, and -3?
A. x^4+2x^3+7x^2-8x+12
B. x^4+2x^3-7x^2-8x+12
C. x^4+2x^3-7x^2+8x+12
D. x^4+2x^3+7x^2+8x+12
7. Which correctly describes the roots of the following cubic question.
x^3-3x^2+4x-12=0
A. three real roots, each with a different value
B. one real root and two complex roots
C. three real roots, two of which are equal in value
D. two real roots and one complex root
8. What is the solution of 5^3x=900. Round your answer to the nearest hundredth
A. 1.24
B. 1.41
C. 4.23
D. 0.69
9. x= 1,2,4,6,8,10,11 y= 0,-1,0,4,8,9,8 <--- Table is right here
Which of the following questions best represents the regression line for the data given in the table above.
A. y=x+2
B. y=2x-2
C. y=-x-2
D. y=x-2
10. Is the relationship between the variables in the table a direct variation, an inverse variation, both, or neither? If it is a direct or inverse variation, write a function to model it. ---> Table x= 2,5,12,20 y= 30,12,5,3
A. direct variation; y=15x
B. inverse variation; y=60/x
C. direct variation; y=2x+2
D. neither
11. A drama club is planning a bus trip to New York City to see a Broadway play. the cost per person for the bus rental varies inversely as the number of people going on the trip. It will cost $30 per person if 44 people go on the trip. How much will it cost per person if 55 people go on the trip. Round your answer to the nearest cent if necessary
A. $48.00
B. $12.50
C. $24.00
D. $33.00
12. What is the simpler form of the radical expression? 4sqrt2401x^12y^16
A. 49|x^9|y^16
B. 49x^9|y^16|
C. 7|x^3|y^4
D. 7x^3|y^4|
13. Simplify. 125^1/3
A. 125
B. 5
C. 25
D. sqrt125
14. Graph the function. y=sqrtx+3
15. An initial population of 293 quail increases at an annual rate of 6%. Write an exponential function to model the quail population. What will the approximate population be after 4 years?
A. f(x)=(293 x 1.06)^x; 930
B. f(x)=293(0.06)^x; 379
C. f(x)=293(1.06)^x; 370
D. f(x)=293(6)^x; 190
16. Evaluate the logarithm
log3 2187
A. 5
B. 6
C. 7
D. -7
17. Estimate the value of the logarithm to the nearest tenth
log4 22
A. 2.2
B. 0.4
C. -0.7
D. 3.2
18. Solve 1n 4 + 1n (3x)=2. Round your answer to the nearest hundredth
A. 1.13
B. 0.18
C. 1.41
D. 0.62
19. Write an equation for the translation of y= 4/x that has the asymptotes x=7 and y=6.
A. y= 4/x-6 +7
B. y= 4/x+7 +6
C. y= 4/x-7 +6
D. y= 4/x+6 +7
20. What is the graph of the rational function?
y=(x-5)(x-3)/(x+4)(x-4)
21. What are the points of discontinuity?
y=(x-3)/x^2-12x+27
A. x=4,x=9,x=1
B. x=-9,x=-3
C. x=-9,x=-3,x=-1
D. x=9,x=3
22. What is the quotient 6-x/x^2+2x-3/x^2-4x-12/x^2+4x+3 in simplified form? State any restrictions on the variable.
23. Simplify the complex fraction x+3/ 1/x+1/x+3
A. x^2/2x+3
B. x^2/2x
C. x^2/x+3
D. x^2+2x+3/2x+3
24. Simplify the difference
x^2-x-56/x^2+6x-7 - x^2+2x-15/x^2+9x+20
A. x-71/(x-1)(x+4)
B. 2x^2-8x-29/(x-1)(x+4)
C. -8x-35/(x-1)(x+4)
D. -35/(x-1)(x+4)
25. Solve the equation 1/x-3+1/x+5=1/3
A. x=1,x=7
B. x=3,x=-5
C. x=-3,x=1
D. x=-3,x=7
Answers
Answer:
Step-by-step explanation:
4. A. Im not sure but that seems like the most logical.
5. D.
6. B.
7. B.
8. I think it's A. maybe-
9.- id-k sorry-
10. i--dk..]
11. C
12. D
13. B.
15. C.
16. C
17. A.
18. D
19. C.
21. D.
22. -(x+1)/(x-1)(x+2) x does not equal -3, -2, 1, and 6
23. i d-ksorry
24.i-d-k sorry
25. D.
Hope this helped sorry i culdn't get them all-
The answers to all parts are shown below.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
1. x⁴ + 5x³ + 7x² -3x - 10 = 0
= (x-1)(x+2)(x² + 4x + 5)
Thus, the rational roots are 1 and -2.
2. 3x² -4 = - x⁴
x⁴ + 3x² -4 = 0
(x-1)(x+1)(x² + 4) =0
Thus, the zeroes are 1, -1, -2i, +2i.
3. We can write the zeroes as
p(x)=(x-1)(x-2)(x+2)(x+3).
So, p(x) = x⁴ + 2x³ -7x² -8x +12
4. x³ -3x² +4x- 12=0
(x-3)(x²+4) =0
x= 3, -2i, 3i
5. x= 1,2,4,6,8,10,11
y= 0,-1,0,4,8,9,8
So, equation of line
(y- 0) = (-1-0)/(2-1)(x-1)
y = -1(x-1)
y + x +1=0
6. x= 2,5,12,20 and y= 30,12,5,3
k = 30/2
k = 15
So, the relationship is y= 15x.
7. cn = constant(k)
n= 44
then, c= 30/44 = 0.68
and, k = 44 x 0.68
k = 30
So, c = 1.5 dollars per person.
8. 125¹/³
= (5³)¹/³
= 5
9. y = 293(1.06)⁴ = 370
10. log₃ 2187
= log₃ 3⁷
= 7
11. log₄ 22
= 2.29
12 . y= 4/x
The new equation is y = 4/(x - 7) + 6.
13. (6-x)/ (x² + 2x - 3) / (x² -4x- 12)/ (²x² + 4x + 3)
= - (x+1)/ (x+1)(x+2)
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a parallelogram has a base of 6 centimeters and a height of 10 centimeters. this parallelogram has the same area as a triangle with a height of 5 centimeters. what is the measure, in centi,of the base of the triangle?
Answers
The area of the parallelogram can be found using the formula A = base × height:
A = 6 cm × 10 cm
A = 60 cm²
The area of a triangle is given by the formula A = 1/2 × base × height. We know the height is 5 cm and the area is also 60 cm² (since it is equal to the parallelogram). So, we can solve for the base:
60 cm² = 1/2 × base × 5 cm
Dividing both sides by 1/2 × 5 cm gives:
base = 24 cm
Therefore, the base of the triangle is 24 centimeters.
Answer:
24cm
Step-by-step explanation:
This is the graph of a function in the form f(x)=a•b^x what’s the function
Answers
Answer:
Step-by-step explanation:
The function f(x) = a * b^x represents exponential growth or decay. The value of a represents the starting value or y-intercept, while the value of b represents the growth or decay factor. If b is greater than 1, the function represents exponential growth, while if b is between 0 and 1, the function represents exponential decay.
To determine the values of a and b from a graph, we need to look for specific features. The y-intercept represents the value of a, so we can read it directly from the graph. The growth or decay factor b can be found by examining the slope of the graph. If the graph is increasing, then b is greater than 1, and if it is decreasing, then b is between 0 and 1.
which ordered pair is a solution to the Equation? 3y = -2x - 4
(1, -2)
(-1, 3)
(3, 4)
(-2, 4)
Answers
The ordered pair that is a solution to the equation 3y = -2x - 4 is given as follows:
(1, -2).
How to obtain the ordered pair?The equation for this problem is defined as follows:
3y = -2x - 4
To verify whether an ordered pair is a solution to the equation, it must make the equation true.
When x = 1 and y = -2, we have that:
3y = 3(-2) = -6.-2x - 4 = -2(1) -4 = -6.Hence the ordered pair (1,-2) is a solution to the equation for this problem.
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Calculator
What is the volume of this figure?
Enter your answer in the box.
ft³
4
3 ft
5 ft
6 ft
7 ft
2 ft
Answers
The volume of the solid figure is 75 ft³
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The volume of a figure is the amount of space it occupies in its three dimensional state.
To get the surface area:
Area of base = (6 ft * 2 ft) + (7 - 6)ft * 3 ft = 15 ft²
Volume of figure = area of base * height = 15 ft² * 5 ft = 75 ft³
The volume of the figure is 75 ft³
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please help for this question
Answers
Trapezium T is reflected across line x = 3 to form trapezium U and reflected across line x = 7 to form tralpelzium V
The figure is attached
What is reflection over a lineReflection across a line is a geometric transformation which mirrors a point, shape or figure exactly across a pre-defined plane known as the Line of Reflection.
In other words, the size and general outline are kept in tact while orientations are adjusted. Furthermore, each corresponding point on either side of the Line of Reflection is found to be equidistant from the said axis and lies along a perpendicular line.
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SOLVE ASAP!!
On the same coordinate plane, mark all points (x, y) that satisfy each rule.
a) y= -3-x
b) y= x-3
c) y= 3x+2
d) y= 3x-2
e) y= -3x+2
(SHOW COORDINATE PLANE GRAPH)
(WILL AWARD BRAINLIEST)
Answers
The point that satisfies y = -3-x is (0,-3), the point that satisfies y = x-3 is (0,-3), the point that satisfies y = 3x+2 is (0,2), the point that satisfies y = 3x -2 is (0,-2), the point that satisfies y = -3x+2 is (0,2). The graph is shown below.
To find the points that satisfy the equation y = -3 - x, we can substitute different values of x and solve for y.
When x = 0, y = -3 - 0 = -3, so one point is (0, -3).
When x = 1, y = -3 - 1 = -4, so another point is (1, -4).
When x = -1, y = -3 - (-1) = -2, so another point is (-1, -2).
By repeating this process for different values of x, we can find more points that satisfy the equation.
To find the points that satisfy the equation y = x - 3, we can again substitute different values of x and solve for y.
When x = 0, y = 0 - 3 = -3, so one point is (0, -3).
When x = 1, y = 1 - 3 = -2, so another point is (1, -2).
When x = -1, y = -1 - 3 = -4, so another point is (-1, -4).
To find the points that satisfy the equation y = 3x + 2, we can once again substitute different values of x and solve for y.
When x = 0, y = 3(0) + 2 = 2, so one point is (0, 2).
When x = 1, y = 3(1) + 2 = 5, so another point is (1, 5).
When x = -1, y = 3(-1) + 2 = -1, so another point is (-1, -1).
To find the points that satisfy the equation y = 3x - 2, we can once again substitute different values of x and solve for y.
When x = 0, y = 3(0) - 2 = -2, so one point is (0, -2).
When x = 1, y = 3(1) - 2 = 1, so another point is (1, 1).
When x = -1, y = 3(-1) - 2 = -5, so another point is (-1, -5).
To find the points that satisfy the equation y = -3x + 2, we can once again substitute different values of x and solve for y.
When x = 0, y = -3(0) + 2 = 2, so one point is (0, 2).
When x = 1, y = -3(1) + 2 = -1, so another point is (1, -1).
When x = -1, y = -3(-1) + 2 = 5, so another point is (-1, 5).
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