Answer:
-16x + 5
Step-by-step explanation:
-8x + 40 -8x - 35
Collect like terms
-8x - 8x + 40 - 35
= - 16x + 5 or 5 - 16x
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Answer:
6.1
Step-by-step explanation:
Draw a picture of an equilateral triangle. Cut the triangle in half, so that you get two 30-60-90 triangles. The area of these smaller triangles is 8 square inches.
The short leg of these triangles (the base) is half the side length: ½ s.
According to properties of 30-60-90 triangles, the long leg (the height) is √3 times the short leg: ½ s√3.
Area of a triangle is half the base times the height:
A = ½bh
8 = ½ (½ s) (½ s√3)
8 = ⅛ s²√3
64 = s²√3
s² = 64/√3
s = √(64/√3)
s ≈ 6.1
<span>-8 < x -3 < 1
we have two inequations:
* -8<x-3 and -8+3<x-3+3 or -5 < x or x>-5
* x-3<1 or x-3+3<1+3 and we have x<4
For all cases we have -5<x<4
or </span><span>interval notations: x</span>∈(-5;4)
have fun
Answer: C
Step-by-step explanation: You want to find the square root of each number given. The square root of 400 is 20, and the square root of 100 is 10
Answer:
39.25 cubic feet of paint will be needed by Ellis.
Step-by-step explanation:
Volume of a cylinder:
The volume of a cylinder of radius r and height h is given by:

How much paint will Ellis need to paint all the surfaces of the 10 fenceposts?
This is the combined volume of these 10 fenceposts.
They are each 5 feet tall and have a diameter of 1 foot.
Radius is half the diameter, so
. Also 
10 fenceposts:
Each has the same volume, so:

39.25 cubic feet of paint will be needed by Ellis.