Answer: x = 1
Step-by-step explanation:
1) Reorder the terms:
2(-4 + 3x) + -5 = -7
(-4 * 2 + 3x * 2) + -5 = -7
(-8 + 6x) + -5 = -7
2) Reorder the terms:
-8 + -5 + 6x = -7
3) Combine like terms: -8 + -5 = -13
-13 + 6x = -7
4) Solving
-13 + 6x = -7
5) Solving for variable 'x'.
6) Move all terms containing x to the left, all other terms to the right.
7) Add '13' to each side of the equation.
-13 + 13 + 6x = -7 + 13
8) Combine like terms: -13 + 13 = 0
0 + 6x = -7 + 13
6x = -7 + 13
9) Combine like terms: -7 + 13 = 6
6x = 6
10) Divide each side by '6'.
x = 1
11) Simplifying
x = 1
Answer:
The answer to your question is 9 cm
Step-by-step explanation:
Data
slant height = 15 cm
height = 12 cm
radius = ?
Process
To solve this problem, use the Pythagorean theorem. The slant height is the hypotenuse, the height is the long leg and the radius is the short leg.
c² = a² + b²
slant height² = height² + radius²
-Solve for radius
radius² = slant height² - height²
-Substitution
radius² = 15² - 12²
-Simplification
radius² = 225 - 144
radius² = 81
-Result
radius = 9 cm
Answer:
m = -18
Step-by-step explanation:
<u>Step 1: Combine like terms</u>
-8 = -m + 2m + 10
-8 = m + 10
<u>Step 2: Subtract 10 from both sides</u>
-8 - 10 = m + 10 - 10
-18 = m
Answer: m = -18