The coordinates of T are (13, -6) which s is the midpoint of rt r(-9,4) and s(2,-1).
What is Midpoint?A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.
Let two points A (x₁, y₁) and B (x₂, y₂), the midpoint between A and B is given by,
M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Assuming that S is the midpoint of the line segment RT, where point R's coordinates are (-9, 4) and S's coordinates are (2, -1).
We have to determine the coordinates of point T.
The midpoint is the average of both endpoints. i.e., (x₁, y₁) and (x₂, y₂).
In this case, the midpoint is given by M = S(2, -1).
Let R(x₁, y₁) = R(-9, 4) and we will determine T(x₂, y₂).
2 = (-9 + x₂)/2
-9 + x₂ = 4
x₂ = 13
-1 = (4 + y₂)/2
4 + y₂ = -2
y₂ = -6
Therefore, the coordinates of T are (13, -6).
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The question seems to be incomplete the correct question would be
Find the missing endpoint if s is the midpoint of rt r(-9,4) and s(2,-1) ; find T
Solve x² - 2x - 23= 0, giving your answers correct to one decimal places
Answer:
x ≈ - 3.9 , x ≈ 5.9
Step-by-step explanation:
x² - 2x - 23 = 0 ( add 23 to both sides )
x² - 2x = 23
using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 1)x + 1 = 23 + 1
(x - 1)² = 24 ( take square root of both sides )
x - 1 = ± [tex]\sqrt{24}[/tex] ( add 1 to both sides )
x = 1 ± [tex]\sqrt{24}[/tex]
then
x = 1 - [tex]\sqrt{24}[/tex] ≈ - 3.9 ( to 1 dec. place )
x = 1 + [tex]\sqrt{24}[/tex] ≈ 5.9 ( to 1 dec. place )
Please i need help :(
Answer:
< 3 = 90°, < 8 = 43° and < 4 = 146°
Step-by-step explanation:
Since < 1 and < 3 are on the same straight line, < 3 = 180° - 90°.
Since < 6 = 137° and < 6 and < 8 are on the same straight line, < 8 = 180° - 137° = 43°.
Since < 2 = 34° and < 2 and < 4 are on the same straight line, < 4 = 180° - 34° = 146°.
find the standard deviation of the data set that is obtained after subtracting three from each value 246, 387, 297, 276, 338, 281, 242
We have the following:
we calculate the new values
[tex]\begin{gathered} 246-3=243 \\ 387-3=384 \\ 297-3=294 \\ 276-3=273 \\ 338-3=335 \\ 281-3=278 \\ 242-3=239 \end{gathered}[/tex]now, we calculate the mean
[tex]\frac{243+384+294+273+335+278+239}{7}=292.3[/tex]the standard deviation of the data set is:
[tex]\begin{gathered} s=\sqrt[]{\frac{\Sigma(x_i)^2}{n}-\bar{x}^2} \\ s=\sqrt[]{\frac{243^2+384^2+294^2+273^2+335^2+278^2+239^2}{7}-292.3^2} \\ s=\sqrt[]{\frac{614100}{7}-85439.3} \\ s=47.9 \end{gathered}[/tex]The answer is the option C. 47.9
There are 60 in one hour.How many minutes are in 1 1/4 hours ?
Answer:
75
Step-by-step explanation:
Answer: 11/4
Step-by-step explanation:
11/4x60/60=11/4
Angelina bought a 64-ounce can of lemonade mix.She uses 4 ounces of mix for each pitcher of lemonade.How many pitchers of lemonade can Angelina make from the can of mix?
Answer:She can make 16 pitchers of lemonade
Step-by-step explanation:
1. Divide the amount of ounces needed for one pitcher of lemonade by the amount of ounces she has to get 16 pitchers of lemonade.
which of the following transformation carry the given regular polygon onto itself
The required transformation of the regular polygon to onto itself is a rotation by the angle of 360° around its own center or any point in the plane.
Given that,
To determine which transformation carries the given regular polygon onto itself.
Here,
According to the question as asked.
There are only 2 usual possible ways of transforming a regular polygon that will onto itself as,
(1) A perfect rotation of 360° around its own center.
(2) A rotation of 360° around any point in the space and plane containing the regular polygon.
Thus, the required transformation of the regular polygon to onto itself is a rotation by the angle of 360° around its own center or any point in the plane.
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I need help pleaseeeeeeee
The height of the tree in 30 months given the linear equation is 16m.
What is the height of the tree?The given equation is a linear equation. A linear equation is an equation that changes at a constant rate. The change can either be an increase or a decrease. A linear equation usually has an intercept and a slope. The intercept is the value of the equation when x is zero. The slope is the rate of change of the equation.
H (x) = 10 + 0.20x
10 = intercept
0.20 = slope
In order to determine the height of the tree after 30 months, substitute for x in the above linear equation.
H(x) = 10 + (0.2 x 30)
H(x) = 10 + 6
H(x) = 16
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I need you to solve this please. The height is 4 cm. The width is 5 cm. And the length is 6cm. I need the volume of this triangle prism. Thanks
Base of the Prism = 5 cm
Height of the Prism = 4 cm
Length of the Prism = 6 cm
The volume of a triangular prism = 1/2 x base x height x length
⇒ Volume = 1/2 x 5 x 4 x 6
⇒ Volume = 60 cm^3
What is a Triangular Prism?A triangular prism is a tri prism in geometry; it is a polyhedron constructed of a triangular base, a translated duplicate, and three faces linking equivalent sides. Right triangular prisms have rectangular sides; otherwise, they are oblique. Right triangles with square sides and equilateral bases are known as uniform triangles.It is, in essence, a polyhedron with two parallel sides and three surface Normals in the same plane (which is not compulsorily parallel to the base planes). These three faces form a parallelogram. The same triangle may be seen in all cross-sections that are perpendicular to the base faces.To learn more about Triangular Prism, refer to:
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18. Brett bought three pairs of jeans and five polo shirts. The jeans that regularly sell for $79 were 35% off and the polo shirts that regularly sell for $39 were 15% off. If sales tax is 5.75% and he gave the cashier $350, how much did he receive back in change?
Step-by-step explanation:
Brett bought three pairs of jeans and five polo shirts. The jeans that regularly sell for $79 were 35% off and the polo shirts that regularly sell for $39 were 15% off. If sales tax is 5.75% and he gave the cashier $350, how much did he receive back in change?
3 pairs jeans at regular price costs: 79 * 3 = 237
35% off so paying 65% of full price:
237 * 0.65 = discounted price of 154.05
5 polo shirts at regular price costs: 39 * 5 = 195
15% off so paying 85% of full price:
195 * 0.85 = discounted price of 165.75
cost of jeans and polo shirts at discounted prices: 154.05 + 165.75 = 319.8
Pay an additional 5.75% sales tax. So Brett is paying 1.0575 of the cost:
1.0575 * 319.8 = 338.1885. Rounded, it cost Brett $338.19 for his jeans and polo shirts.
Brett gave $350:
350 - 338.19 = $11.81 change received
Determine the total cost of each lawn service if the cost for each lawn is $42.00 for the first 5,000 square feet of lawn and $5.25 for each additional 1,000 square feet of lawn.
40 feet by 190 feet
Based on the cost to service the lawn, and the area of the lawn, the total cost of lawn service is $55.65
How to find the total cost of the lawn service?The first thing to do is to find the area of the lawn:
= Length of lawn x Width of lawn
= 40 x 190
= 7,600 square feet
The cost of each lawn is $42.00 of the first 5,000 square feet and then there will be $5.25 paid for each additional square feet.
The total cost of the lawn service is:
= 42.00 + ( 5.25 x (7,600 - 5,000) / 1,000)
= 42.00 + (5.25 x 2.6)
= $55.65
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Yannick bought a bicycle. He paid $194.25, including tax. If the sales tax rate is 5%, how many dollars did Yannick pay for tax?
Yannick paid $9.25 as sales tax on the bicycle.
Here, we are given that Yannick bought a bicycle and paid $194.25 for it, including tax.
Let the cost of the bicycle without tax be x
We are given that the rate of sales tax is 5%
Thus, the amount of tax on bicycle will be-
5% of x
= (5/100)*x
= 0.05x
Thus, we can form an equation as follows-
x + 0.05x = 194.25
1.05x = 194.25
x = 194.25/ 1.05
x = 185
Thus, the cost of bicycle without tax is 185
Therefore, the tax paid will be-
0.05x
= 0.05*185
= 9.25
Thus, Yannick paid $9.25 as sales tax on the bicycle.
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I can find percentages and values using the 68-95-99.7 rule, z-scores, and the standard normal distribution.only answer please if you know the answer
Let X be the weight of fish in the lake.
Given that the mean and standard deviation as 20 and 6 respectively,
[tex]\begin{gathered} \mu=20 \\ \sigma=6 \end{gathered}[/tex]Consider the formula,
[tex]z=\frac{x-\mu}{\sigma}[/tex]The proportion of fish weighing less than 15 pounds is calculated as,
[tex]\begin{gathered} P(X<15)=P(z<\frac{15-20}{6}) \\ P(X<15)=P(z<-0.83) \\ P(X<15)=P(z<0)-P(-0.83From the Standard Normal Distribution Table,[tex]\emptyset(-0.83)=0.2967[/tex]Substitute the value,
[tex]\begin{gathered} P(X<15)=0.5-0.2967 \\ P(X<15)=0.2033 \end{gathered}[/tex]Mulyiply by 100 to get the equivalent percent,
[tex]P(X<15)=20.33\text{ percent}[/tex]Thus, 20.33% of fish in the lake will weigh less than 15 pounds.
Sipho buys peanuts in bulk at r5 per kg and sells them in 100g packets for r1 each .his aunt owns a packaging business and supplies sipho with free packets for packaging the peanuts .write sipho profit as a. a rate per kg b. a rate per 100g packet c.calculate the percentage profit that sipho makes on his peanuts
Answer:
the percentage is 100g divided by 5 to get 20
Answer:
Step-by-step explanation: a rate per 100 g packet
Please help me with this very quick!
Answer:
Step-by-step explanation:
Brock rides his bike 22 1/8 miles to the nature preserve. On his way home, after 16 1/5 miles, he stops at a deli for lunch. How far is Brock from home?
Write and then evaluate an addition expression to solve the problem.
Brock is at a distance of 621/40 miles away from home.
Here, we are given that Brock rides his bike 22 1/8 miles to the nature preserve.
This means that he is now 22 1/8 miles away from his home. Now, he starts on his way home and after 16 1/5 miles, he stops at a deli for lunch.
Thus, he is now 22 1/8 - 16 1/5 miles away from his home.
To subtract the fractions we need to convert the mixed fractions into improper fractions, which can be done as follows-
22 1/8 = (22*8 + 1)/8
= 177/8
and 16 1/5 = (16*5 + 1)/5
= 33/5
Thus, the expression becomes-
177/8 - 33/5
now, we need to make the denominators of each fraction so that we can subtract them.
= (177*5)/40 - (33*8)/40
= 885/40 - 264/40
= 621/40
Thus, Brock is at a distance of 621/40 miles away from home.
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Solve for x: 1 < x + 3 < 4
[tex]1 - 3 < x < 4 - 3 \\ - 2 < x < 1[/tex]
WHAT YOU DO ON OTHER SIDE OF THE INEQUALITY YOU HAVE TO DO IT ON EVERY SIDE TO BALANCE THE INEQUALITY
GOODLUCK.
Pick one no need for explanation just checking my work
Function B equation is
[tex]y=2x-5[/tex]The y-intercept is when x=0, in our case
Function A
[tex]y=\frac{1}{4}(0)+3=3[/tex]y-intercept =3
Function B
[tex]y=2x-5[/tex][tex]y=2(0)-5=-5[/tex]y-intercept=-5
As we can see
The y-intercept of Function A is greater than the y-intercept of Function B.
At 59°F, crickets chirp at a rate of 76 times per minute, and at 65°F, they chirp-100 times per minute. Whats the input
We have a relationship between temperature and chirp rate, such that the input in this case is the temperature.
What is the input?
We define a relation as an operator that maps elements from one set (the domain, set of the inputs) into elements of another set (the range, set of the outputs).
Particularly, the relations are written as:
x → y
Where y is the output and x is the input.
In this case, we have two pairs of the relation, these are:
At 59° F, the chirp rate is 76 times per min.At 65° F, the chirp rate is 100 times per min.So we are giving the temperature as the input, and the output is the chirp rate of the crickets at that particular temperature.
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PLEASE ANSWER ILL GIVE MY LEFT KIDNEY, MOST BRAINLIEST AND 50 POINTS. plane x and plane y are parallel and plane z intersects plane x. Line ab is in plane x line cd is in plane y and line ef is in plane z. Determine whether each statement is always, sometimes, or never true. Justify your answer.
A) Line AB is skew to Line CD
B) Line AB intersects Line EF
Line AB is always skew to line CD as the two lines are in different planes.
Line AB will sometimes intersect line EF as the two planes intersect at some point.
We know that a plane represents a 2 dimensional surface in a 3 dimensional area.
A plane is a two-dimensional, flat surface in mathematics that never ends. A plane is a point's (zero dimensions), a line's (one dimensions), and space's (three dimensions) two-dimensional equivalents. A plane may appear as a subspace of a higher-dimensional space, such as the indefinitely long wall of a room, or it may enjoy a separate status in and of itself, such as in the context of two-dimensional Euclidean space.Now it is given that planes x and y are parallel to each other, therefore they will never intersect at any place.
Now two separate lines on these two separate planes will also not intersect with each other as they are on different planes and the ploanes do not meet.
Hence Line AB is always skew to line CD as the two lines are in different planes.
Again for Line AB it will intersect EF as the plane z intersects the plane x on which the line AB is located.
We know that the lines can still be skew lines but there is a possibility that they will meet.
Hence Line AB will sometimes intersect line EF as the two planes intersect at some point.
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m/P=S9
14. In ARST, if mZR is five more than twice x, mZS is one more than x, and mZT is sixteen less
than seven times x, find x and the m
Please
Help
x = 19 is the value of x in triangle .
What is triangle explain?
A triangle is a three-sided polygon in geometry that has three edges and three vertices. The fact that the internal angles of a triangle add up to 180 degrees is the most crucial aspect of triangles.A triangle is a polygon with three sides. The three vertices that make up its three sides also create its three angles. Any triangle with vertices and is represented below as A B C: types of triangles Triangle of Scalene: The lengths of the sides are not equal.angle R + angle S + angle T = 180
(5+ 2x) + (7x - 16) + (x + 1) = 180
10x - 10 = 180
10x = 190
x = 19
Therefore
angle R = 5 + 2(19) = 43 degrees
angle S = 19 + 1 = 20 degrees
angle T = 7(19)-16 = 117 degrees
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Can somebody help I need is asap
heyya can anyone help me w this?
In the given figure,
line a is parallel to line b,
Therefore,
∠1 + ∠90° = 180° ............... (Since they are Linear pairs)
⇒ ∠1 = 90°
∠1 = ∠3 and ∠2 = ∠90°............. (Vertically opposite angles)
⇒ ∠1 = ∠3 = ∠2 = ∠90°
∠2 = ∠4 and ∠3 = ∠5 ................ (Alternate interior angles)
⇒ ∠4 = ∠5 = ∠90°
∠4 = ∠6 and ∠5 = ∠7 ............. (Vertically opposite angles)
⇒ ∠6 = ∠7 = ∠90°
So,
∠1 = ∠2 = ∠3 = ∠4 = ∠5 =∠6 = ∠7 = 90°
What is a transversal?A transversal in geometry is a line that, at two different places, traverses two lines in the same plane. If two or more additional lines in the Euclidean plane are parallel, transversals can help determine this. Numerous pairs of angles, including successive interior and exterior, matching, and alternating angles, can be formed when a transversal intersects two lines.Euclid's parallel postulate states that if two lines are parallel, then corresponding angles are equal, alternate angles are equal, and subsequent inner angles are supplementary.Menelaus' theorem is satisfied by the lengths of the six segments produced when three lines in general position that form a triangle are cut by a transversal.In higher dimensional spaces, the transversal of a set of lines is a line that crosses each of the other lines in a unique location. Transversals are not always present for sets of more than two lines, in contrast to the two-dimensional (plane) situation.To learn more about Transversal, refer to:
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The graph of y=f(x) is shown below. find f(-4)
Solve the inequality.
4x + 2 <2
5
x≤ [?]
Enter the number that belongs in the
green box.
Enter
The solution of the inequality in the variable x <0.
Any monotonically rising function can, by definition, be applied to both sides of an inequality without violating the asymmetry connection (provided that both expressions are in the domain of that function). The inequality relation is flipped when a monotonically decreasing function is applied to both sides of an inequality. In the criteria for the basic inverse and the multiplicative inverse for positive values, a monotonically decaying function is utilized.
The given inequality is
4x + 2 <2
subtracting 2 from both sides
4x+2-2<2-2
or,4x < 0
or, x < 0
If the inequality is strict (a< b, a > b) and the function is strictly monotonic, the inequality remains strict. If only one of the preceding conditions is met, the ensuing imbalance does not exist. Indeed, the rules for addition and multiplicative exponentiation use a monotonically decreasing function.
Hence the solution of the inequality in the variable x <0.
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You have been told to make 144 two- ounce chocolate chip cookies for a banquet. The recipe yields three pounds of cookies. By what factor would you need to increase the recipe?
y = 3/2x - 2
m = Type here
b = Type here
Answer:
y = mx + b
y = 3/2x - 2
m = 3/2
b = -2
First derivative of f(x) = (5x + 3)^3
Answer:
f'(x) = 15(5x + 3)²
Step-by-step explanation:
using the chain rule to differentiate
f(x) = g(h(x) , then
f'(x) = g'(x) × h'(x)
f(x) = (5x + 3)³
f'(x) = 3(5x + 3)² × [tex]\frac{d}{dx}[/tex] (5x + 3)
= 3(5x + 3)² × 5
= 15(5x + 3)²
14. Write 5 square root 16^2 using a fractional expression
A. (16)^5/2
B. (16)^2/5
C. 2. (16)¹/5
D 5.(16)^1/2
Answer:
D
Step-by-step explanation:
5√16² = 5(16^1/2)
i neeeeeed help pls 6th grade easy
The information that is not needed to determine the total bill after tax is is the tax was 7%.
The total bill is $11.
What is the total bill?The total bill paid is the sum of the cost of the meal, tax and the tip paid. The tip and tax would increase in the total amount that is paid by the customers.
Tax is a compulsory amount that is levied by the government on certain goods and services.
Percentage is the fraction of an amount expressed as a number out of hundred. To convert a number from percentage to a number, divide the percentage by 100.
Tax paid = 10% x total bill
$1.10 = 0.1 x b
1.10 = 0.1b
b = 1.10 / 0.1
b = $11
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a. The information that is needed to solve the problem is D. All of this information is needed to solve the problem.
b. The total bill is $117.
What is an expression?It should be noted that an expression shows the relationship between the numbers or the variables
The total bill will be:
Tip = $1.10
Tax = 7%
Tip = 10% of cost:
$10 = 10% × c
0.1c = $10
c = $10/0.1 = $100
Cost = $100
The total bill. = Cost + Tip + Tax
= $100 + $10 + (7% × $100)
= $100 + $10 + $7
= $117
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