Shown in the attached figure
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Explanation:</h2>
The absolute value function is a function that takes the shape of a V. The pattern of the absolute value function is:
So we need to use this function in order to obtain:
Recall that to translate a function vertically, we use the following rule:
And to translate a function horizontally, we use the following rule:
Since:
Then:
<em>g(x) is the translation of f(x) 2 units to the left and 4 units down</em>
<em />
<h2>
Learn more:</h2>
Transformations in real-world problems: brainly.com/question/1033817
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The answer is A
8x-27=8x-32+5
Delete 8x
-27=-27
Answer:
400cm^2
Step-by-step explanation:
For this question, you need to find the surface areas of both objects, then add them together.
For the cube:
56cm for the front
56cm for the back
42cm for the side
42cm for the other side
48cm for the top
48cm for the bottom
SA for the cube: 292cm^2
For the triangle, things are a little different. We do the same process that we did to find the SA of the cube, but we do not have to find the SA of the top side (because there isn't a top side) and we have to divide the total SA by 2 because it's a triangle.
For the triangle:
42cm for the front
42cm for the back
54cm for the slanted side
42cm for the other side
36cm for the bottom
SA for the triangle: (216/2)^2=108cm^2
292+108=400cm^2
the SA of the composite figure is 400cm^2
First you need to find the slope of the line using the given coordinates of the two points.
The slope of the line = (1-4)/(4-3) = -3
Then you choose one pair of the coordinates given, either (3,4) or (4,1) , up to you, to find the equation of the line.
If you choose (3,4)
Then
(y-4)/(x-3) = -3
(y-4) = -3x+9
y = -3x+13
If you choose (4,1),
Then
(y-1)/(x-4) = -3
y-1 = -3x+12
y = -3x+13
So, F(x)=-3x+13
