[tex](\stackrel{x_1}{-15}~,~\stackrel{y_1}{70})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{70}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-15)}}} \implies \cfrac{-60}{5 +15} \implies \cfrac{ -60 }{ 20 } \implies - 3[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{70}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-15)}) \implies y -70= -3 (x +15) \\\\\\ y - 70 = -3x - 45\implies {\Large \begin{array}{llll} y = -3x+25 \end{array}}[/tex]
60% of 10 is what number?
Percentage is expressed in terms of 100. Thus,
60% of 10 would be expressed as
60/100 * 10
= 6
Thus, 60% of 10 is 6
14. pls help will mark brainliest to someone !!!!
The given equation is:
y - 5 = 1/2 (x-4)
On simplifying this,
⇒ y - 5 = (x - 4)/2
⇒ (y - 5) *2 = x - 4
⇒ 2y - 10 = x - 4
⇒ 2y = x - 4 + 10
⇒ 2y = x + 6
Now, let x = 0,
2y = 0 + 6
⇒ 2y = 6
⇒ y = 3
let y = 0,
x + 6 = 0
⇒ x = -6
So, two points of the given equation are (0,3) and (-6,0)
On plotting these points of the graph, we will get the line on the graph.
What is a Line?A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends. Two points on a line can be used to refer to that line.Because there are so many different geometries in modern mathematics, the definition of the geometry and the idea of a line are tightly related. In analytical geometry, for example, a line in the plane is frequently defined as the collection of points whose coordinates satisfy a given linear equation. However, in a more abstract context, such as incidence geometry, a line may be an independent object, distinct from the collection of points that lie on it.To learn more about Lines, refer to:
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Look at the image. I dont get it not at all.
The fraction of the larger rectangle that is shaded is 4[tex]c^{-8}[/tex]
What fraction of the larger rectangle is shaded?A rectangle is a two-dimensional shape that has four sides and four right angles. The opposite sides of a rectangle are parallel.
The area of a rectangle is the product of its width and its length. When multiplying numbers that have exponents, multiply the bases and add the exponents.
Area of a rectangle = length x width
Area of the larger rectangle = [tex]4c^{8}[/tex] x [tex]2c^{10}[/tex]
= (4 x 2)[tex]c^{10 + 8}[/tex]
8[tex]c^{18}[/tex]
Area of the smaller rectangle = 8c² x [tex]4c^{4}[/tex]
(8 x 4)[tex]c^{2 + 4}[/tex]
32[tex]c^{6}[/tex]
Fraction of the larger rectangle that is shaded = area of the smaller rectangle / area of the larger rectangle
32[tex]c^{6}[/tex] / 8[tex]c^{18}[/tex] = 4[tex]c^{-8}[/tex]
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Find the product of G(x) and H(x) and write it in standard form.
G(x) = 2x + 5
H(x) = x + 4
Answer:
the product of h(x) and g(x) = 2x²+13x+20
Step-by-step explanation:
to do the product of functions you have to multiply all the values of the function by themselves with parentheses . so g(x)×h(x)= (2x+5)(x+4)
because there are parentheses being used you need to foil and thus you will get
2x(x+4)+5(x+4)
simplify and get
2x²+8x+5x+20
continue to simplify and get
2x²+13x+20
this is your answer because it is already in standard quadratic form of ax²+bx+c.
Please help me it's due tomorrow and I somehow can't understand.
134 x 0.01 what is it
Calcule A = 1 x 2° +1 x 2¹ +0×2²+1× 2¹
Answer:
1+2+0+2=5
Step-by-step explanation:
1x2° = 1
hope it helps you
branliest??
A,B and C are the vertices or a triangle.
A has the coordinates (4,6).
B has coordinates (2,-2)
C has coordinates (-2,-4)
D is the midpoint of AB.
E is the midpoint of AC.
Prove that DE is parallel to BC.
You must show each stage of your working.
Answer:
The slopes of DE and BC are the same: 0.5. The two lines are therefore parallel.
Step-by-step explanation:
See the attached graph, made in DESMOS.
The midpoints D and E may be determined by taking the average values of x and y that form the endpoints of lines AB (midpoint D) and AC (midpoint E):
Midpoint Endpoint1 Endpoint 2 Midpoint
D A(4,6) B(2,-2) D(3,2) [(4+2)/2 =3 and (6-2)/2 = 2]
E A(4,6) C(-2,-4) E(1,1) [(4-2)/2 =1 and (6-4)/2 = 1]
If DE is parallel to BC, both lines must have the same slope. Find the slopes for DE and BC by calculating the Rise/Run (the change in y over the cahnge in x):
Slope of DE: Rise = (2-1) = 1, Run = (3-1) = 2. Slope = (1/2) or 0.5
Slope of BC: Rise = (-2-(-4)) = 2, Run = (2-(-2)) = 4. Slope = (1/2) or 0.5
The slopes of DE and BC are the same: 0.5. The two lines are therefore parallel.
Solve for the equation show all your work |3x-9| = 12
Answer:
x = 7 and x = -1
Step-by-step explanation:
The equation "|3x-9| = 12" can be written into two different equations:
3x-9 = 12 & 3x-9 = -12
This is because the net value inside of the absolute value will always be made positive even if it is negative. Therefore, the net value inside of the absolute value signs can also be equal to the negative of the solution.
Solve 3x-9 = 12:
Add 9 to both sides:
3x-9+9 = 12+9
3x=21
Divide both sides by 3:
3x÷3=21÷3
x=7
Solve 3x-9 = -12
Add 9 to both sides:
3x-9+9=-12+9
3x=-3
Divide both sides by 3:
3x÷3=-3÷3
x=-1
Your answer: x = 7 and x = -1
Armand plans to save money every month for the next six months. The function f(x)=2x−1 represents the amount of money, in dollars, Armand will deposit into his savings account at the end of x months since the time he started saving. Which of the following represents the amount of money, in dollars, Armand deposits into his savings account at the end of 3 months since the time he started saving? Select all that apply.
f(x) represents the total savings for x months. If the number of months is 3, then x = 3.
f(x) = 2x - 1
f(3) = 2(3) - 1
= 6 - 1
f(3) = 5
Mrs. Nguyen had 25 students in her English class. On her
birthday 1 student gave her chocolates, 12 gave her cards
and 2 gave her flowers.
QUESTION: What percentage of her students brought
something for Mrs. Nguyen on her birthday?
Answer:
60% of her students brought something for Mrs. Nguyen on her birthday.
Step-by-step explanation:
She has 25 students in her class.
12 gave her cards.
2 gave her flowers.
1 gave her chocolates.
Add them together to get 12+2+1=15.
15 students out of 25 can also be written as a fraction:
[tex]\frac{15}{25}[/tex]
This equals 0.6 as a decimal. To find the percentage multiply by 100, to get 60. Therefore 60% of her students got something for her.
giving brainliest!!
answer choices are:
D
A
B
C
Answer: d
Step-by-step explanation:
What is the greatest common factor of 8 and 44
Answer:
GCF is 8
Step-by-step explanation:
What is the greatest common factor of 8 and 44?
8: 1, 2, 4, 8
44: 1, 2, 4, 8, 11 ....
GCF is 8
The greatest common factor of the numbers 8 and 44 is 4.
The two given numbers are 8 and 44.
The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder.
Here, the factors of 8 and 44 are
8=2×2×2
44=2×2×11
So, the common factors are 2×2=4
Therefore, the greatest common factor of the numbers 8 and 44 is 4.
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Question in picture below
57 yd² is area of triangle .
What is a triangle answer?
A triangle is a three-sided polygon in geometry with 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 three vertices is represented below by the symbols A B C: several triangular types: The sides of a scalene triangle are not all the same length.Area of triangle = 1/2 * b * h
= 1/2 * 19 * 6
= 19 * 3 ⇒ 57 yd²
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I really need help on this asp it would mean a lot
The angle at which your friend is waving at you is calculated to be 11.31° using tan theta.
What does "trigonometric function" refer to?The simplest definition of a trigonometric function is the function of an angle in a triangle, also known as a circular function. These trigonometric functions provide the relationship between the angles and sides of a triangle.Given:
Opposite side of the triangle = 1000 m
Adjacent side of the triangle = 5000 m
We need to determine at what angle was your friend looking at you.
We know that,
tan ∅ = Opposite side/Adjacent side
= 1000/5000
= 0.2
∅ = 11.31°
Therefore, the angle at which your friend is waving is waving at you is found to be 11.31° .
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Find the output, yyy, when the input, xxx, is -1−1minus, 1.
y=y=y, equals
On observing the given line graph, we found that the value of y when x = -1 is 3.
What is a line graph?
A line graph is frequently used to display data that varies over time. It can be seen using a series of points connected by straight lines. The x-axis and the y-axis are two of its axes. The x-axis and y-axis are the names of the horizontal and vertical axes, respectively. It reflects the change in a quantity with regard to another quantity.
We are given a line graph which shows the relation between the x and y variables.
We are asked to find the value of y when x = -1.
Since it is a line graph, we can find the value just by looking into the graph as it is continuous.
So on observing the graph, x = -1 is the line between 0 and -2.
When x = -1, the corresponding y value is the point between 2 and 4 between the y-axis, which is 3.
Since each unit on the x and y axes have a value of 2, the line midway between a single unit has a value of 1.
Therefore from the line graph the value of y when x = -1 is 3.
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HELP ASAP!!! 50 POINTS!!
Answer:
rate of change is 3
Step-by-step explanation:
Answer:
The rate of change is 3
Step-by-step explanation:
start at (0,2) Then go up three spaces and right 1 space. You will be on the line again at point (1,5)
He knows the right triangle JAM contains points J (-3,8) and M (5,4) but the Psl spilled right on his coordinates for A so he only knows that x - coordinate of A is 1. If the triangle is a right triangle, what are the possibilities for the y - coordinate of point A
Four Answers:
10.4721 approximately
1.5279 approximately
-4
16
===================================================
Explanation:
Use the midpoint formula to find that N = (1,6) is the midpoint of J(-3,8) and M(5,4). I'm skipping steps so let me know if you need to see them.
Then draw a circle centered at N with radius NM. The equation of this circle is (x-1)^2+(y-6)^2 = 20
Plug in x = 1 and solve for y to get y = 10.4721 and y = 1.5279
These values are approximate.
------------------
The equation of line MJ is y = -0.5x + 6.5 where both decimal values are exact.
The slope here is m = -0.5 which has the negative reciprocal of 2, and this is the perpendicular slope.
The line perpendicular to MJ, that goes through M, is y = 2x-6
Plug in x = 1 to find that y = 2(1)-6 = -4
The line perpendicular to MJ, that goes through J, is y = 2x+14
Plug in x = 1 to find that y = 2(1)+14 = 16
------------------
The diagram below shows points in red of all the possible locations point A could be.
Identify ALL solutions to the inequality. There could be more than one selection.
The solutions to the given inequality x ≤ 6 are; -6, -3 and -10
What are the Solutions to the Inequality?In inequalities, there are different symbols such as;
≥ which means greater than or equal to
≤ which means less than or equal to
< which means less than
> which means greater than
Now, we are given the inequality as; x ≤ 6
This means that all valid values of x must either be equal to 6 or less than 6. Thus, any value greater than 6 for x is not valid.
Looking at the options, we cans see that -6, -3 and -10 all fall within the required interval and as such they are the solutions.
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2025 cm²
[tex] \times [/tex]
2025 cm²
[tex] = [/tex]
2025 cm² × 2025 cm² = 4100625cm^4
What is Square?
A number is multiplied by itself to form a square. To describe this operation, the term "to square" is employed. For example, the square of 3 can be expressed as 32, which is the number 9, because squaring is the same as raising to the power 2, and it is indicated by a superscript 2. The notations x2 (caret) or x**2 may be used in place of x2 when superscripts are not always an option, such as in programming languages or plain text files. Quadratic is the adjective that describes squaring.
So we have to simply multiply :
2025 cm² × 2025 cm²
By multiplying we get
2025 cm² × 2025 cm² = [tex]4100625cm^{4}[/tex]
Hence, 2025 cm² × 2025 cm² = [tex]4100625cm^{4}[/tex]
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Which statement about the following sequence is true?
-10, -3, -10, -3, -10, ...
It is arithmetic.
It is geometric.
It is neither arithmetic nor geometric.
The statement about the sequence that is true is (c) It is neither arithmetic nor geometric.
How to determine the true statement?The sequence is given as
-10, -3, -10, -3, -10, ...
Test for arithmetic sequence:
An arithmetic sequence is any seqeunce that has a common difference
The sequence -10, -3, -10, -3, -10, ... does not have a common difference
This is so because the first two terms are repeated through out
Test for geometrics equence:
A geometric sequence is any seqeunce that has a common ratio
The sequence -10, -3, -10, -3, -10, ... does not have a common ratio
This is so because the first two terms are repeated through out
Hence, the true statement is (c)
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If you work 30 hours in one week at $22/h, how much would you earn?
Answer:
660 dollars
Step-by-step explanation:
For this, you just need to multiply 30 by 22.
If you're having trouble multiplying that, you could also multiply 22 by 10 three times and then just add the outputs together to get the same answer.
Answer:
$660
Step-by-step explanation:
30 hours times $22
30x22=$660
262, 257, 252, ...
Find the 37th term.
Answer:
a₃₇ = 82
Step-by-step explanation:
there is a common difference between consecutive terms , that is
257 - 262 = 252 - 257 = - 5
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference ,
here a₁ = 262 and d = - 5 , then
a₃₇ = 262 + (36 × - 5) = 262 - 180 = 82
Which ordered pair is the best estimate for the solution to the system?
The ordered pair that is the best estimate for the solution to the system is (0.5, -3.5)
Ordered Pair:
An ordered pair refers to a set of two numbers used to locate a point in a coordinate plane. Here the first point refers the x - coordinate and the second value represents the y - coordinate.
Given,
Her we have the equations,
3x - 8y = 29
3x + y = -2
Now, we need to find the solution of the system.
Here we have to use the substitution method in order to solve this one.
For that, we have to rewrite the second equation as,
y = -2 - 3x.
Now, we have to apply the value of y on the equation (1), then we get,
3x - 8(-2 - 3x) = 29
3x + 16 + 24x = 29
27x = 29 - 16
27x = 13
x = 13/27
x = 0.5
When we apply the value of x into the equation, then we get the value of y as,
y = -2 - 3(0.5)
y = -2 - 1.5
y = -3.5
Therefore, the solution of the system is (0.5, - 3.5).
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Mini Me is similar to Dr. Evil in every way, including his size. If Mini Me is 3.5 feet tall and casts a shadow that is 4 feet long, how long will Dr. Evil's shadow be if he stands 6 feet tall?
The ratio of hieght of shadow to the height of individual is same for both individual. So height of shadow for Dr Evil's is,
[tex]\begin{gathered} \frac{h}{6}=\frac{4}{3.5} \\ h=\frac{6\cdot4}{3.5} \\ =6.857 \end{gathered}[/tex]
The shadow of Dr Evil's is 6.857 ft.
How many gallons of the 65% pesticide is needed to make a final solution that is 60% pesticide
we have that
the algebraic expression that represents this situation is
p(0.65)+25(0.25)=(25+p)(0.60)
solve for p
0.65p+6.25=15+0.60p
0.65p-0.60p=15-6.25
0.05p=8.75
p=175 galThe logarithmic functions, f(x) and g(x), are shown on the graph.
What is the equation that represents g(x)? Explain your reasoning.
The image of the function after the translation is g(x) = log(x + 1) + 4
How to determine the equation of g(x)?From the graph, the given parameters are:
f(x) = log(x)
From the graph, we can see that:
The graph of f(x) is translated left by 1 unitThe graph of f(x) is translated up by 4 unitsThis transformation is given as
g(x) = f(x + 1) + 4
Mathematically, this transformation can be represented as
(x, y) = (x + 1, y + 4)
When represented as a function, we have
g(x) = f(x + 1) + 4
Substitute the equation f(x) = log(x)
f(x + 1) = log(x + 1) + 4
So, we have the following equation
g(x) = log(x + 1) + 4
Hence, the equation of g(x) is g(x) = log(x + 1) + 4
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A semicircular shape is cut out of the side of a rectangle as shown.
Calculate the shaded area, giving your answer in exact form.
Answer:
9 43/50cm²
Step-by-step explanation:
Required area
= 6 x 4 - ½ π 3²
= 24 - 4.5 π
= 24 - 4.5 x 3.14
= 24 - 14.13
= 9.87
= 9 43/50
Write an equation in point-slope form of the line through each pair of points" (9,5) and ( 8,2)
A slope of a line is the change in y coordinate with respect to the change in x coordinate. y=3x-22 is equation in point-slope form of the line through each pair of points" (9,5) and ( 8,2).
What is Slope of Line?A slope of a line is the change in y coordinate with respect to the change in x coordinate.
The slope intercept form of a line is y=mx+b
where m is the slope and b is y intercept.
slope of a line passing through two points is given by
m=y₂-y₁/x₂-x₁
(9,5) and ( 8,2)
x₁=9, y₁=5, x₂=8,y₂=2
Plug in the values to get the slope.
m=2-5/8-9
m=-3/-1
m=3
The equation of line is given by y-y₁=m (x-x₁)
y-5=3(x-9)
y-5=3x-27
y=3x-27+5
y=3x-22
Hence y=3x-22 is equation in point-slope form of the line through each pair of points" (9,5) and ( 8,2).
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Y=x+5 so what is the value of the function when x=4
Answer:Y=9
Step-by-step explanation:
If y=x+5 and x=4 then it would be y=4+5
