Answer:

Step-by-step explanation:
In order to find r we have to square both sides of the equation

The *square root* sign cancels out the *squared* sign therefore:

A reflection across the x-axis has the rule:
(x,y)→(x,-y).
Then:
- A(-1,-1)→A'(-1,1),
- B(0,1)→B'(0,-1),
- C(4,2)→C'(4,-2),
- D(6,0)→D'(6,0),
- E(3,-3)→E'(3,3).
Answer: the vertices of the image are A'(-1,1), B'(0,-1), C'(4,-2), D'(6,0) and E'(3,3).
Answer:
5X + 8Y >= 300; intersection at (-20, 50)
Step-by-step explanation:
let t = work hours
0 < t < 30
X = time lawn mowing
Y = time babysitting.
X + Y < 30
5X + 8Y >= 300
We could solve...
X < 30 - Y
5(30 - Y) + 8Y >=300
150 - 5Y + 8Y >= 300
3Y >=150
Y >=50
then X < -20
intersection at (-20, 50)
The surface area of the cube-shaped wooden chest which has the side edges of 4 feet shown is 96 square inches.
<h3>What is the surface area of a cube?</h3>
Surface area of cube is the sum of the area of each face by which it is enclosed. The surface area of cube can be calculated with the following formula;

Here, (<em>a</em>) is the length of side of the cube.
You want to stain the lateral faces of the wooden chest shown. Find the area that you want to stain in square inches.
A cube-shaped wooden chest with side edges of 4 feet. Thus the surface area of it is,

Thus, the surface area of the cube-shaped wooden chest which has the side edges of 4 feet shown is 96 square inches.
Learn more about the surface area of cube here;
brainly.com/question/1091166
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