Answer:
x=8
Step-by-step explanation:
−2x−40=8(1−x)
Step 1: Simplify both sides of the equation.
−2x−40=8(1−x)
−2x+−40=(8)(1)+(8)(−x)(Distribute)
−2x+−40=8+−8x
−2x−40=−8x+8
Step 2: Add 8x to both sides.
−2x−40+8x=−8x+8+8x
6x−40=8
Step 3: Add 40 to both sides.
6x−40+40=8+40
6x=48
Step 4: Divide both sides by 6.

to get the answer
x=8
To test if this is a right triangle, let's test these side lengths with the Pythagorean Theorem.
a^2 + b^2 = c^2
c is the hypotenuse, the longest side of a right triangle.
a and b are the legs of the right triangle.
a = 7
b = 15
c = 17
7^2 + 15^2 = 17^2 ?
49 + 225 = 289 ?
274 ≠ 289
Thus, this triangle is not a right triangle since it does not satisfy the Pythagorean Theorem.
Have an awesome day! :)
Answer:
C
Step-by-step explanation:
given - 2x < 10 ( divide both sides by - 2 )
Remembering that the symbol is reversed when multiplying/ dividing by a negative quantity.
x > - 5 ← note reversal of symbol
solution is {x | x > - 5 } → C
Answer:
Cost of one pencil: 
Cost of one eraser: 
Step-by-step explanation:
Let be "p" the cost in dollars of one pencil and "e" the cost in dollars of one eraser.
Based on the information given in the exercise, you can set up the following system of equations:

You can use the Elimination Method to solve the system of equations.
Multiply the first equation by -3 ad the second one by 4. Then add the equations and solve for "e":
{
Substitute the value of "e" into any original equation and solve for "p":

First find the area of the base, and multiply that by the height. That's the answer.
Area of the base: pi * 3*3 = 3.14*9 = 28.26
Volume of the cylinder: 28.26*8 = 226.08 cubic units