Four different linear functions are represented below. Function 1
Function 2
y
- 2
1
.
3
0
5
-10
10
1
7
2
9
Function 3
Function 4
y=58-4
The slope is - 1 and the
y-intercept is 2.
Answer the following questions.
(a) Which functions have graphs with slopes less than - 2?
(Check all that apply.)
Function 1 Function 2 Function 3 Function 4
(b) Which function has the graph with the greatest y-intercept?
Function 1 Function 2 Function 3 O Function 4
(c) Which function's graph is the least steep?
Function 1 Function 2 O Function 3 O Function 4

false.

step-by-step explanation:

false.

cavalieri's principle makes that statement about the volumes, not about the areas.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

multiply length by height. multiply the length by the height, and then double the product. work out 10 x 10 results = 100 square inches, then work out 100 x 2 = 200. the answer is 200 square inches.

step-by-step explanation: