Answer:
A. 1
Step-by-step explanation:
3(x+1)=-2(x-1)+6
3x+3=2x-2+6
x+3=4
x=1
Answer:
Surface area = 92 ft²
Step-by-step explanation:
Formula to find the surface area of a rectangular prism is,
Surface area = 2(lb + bh + hl)
Here, l = length of the prism
b = width of the prism
h = height of the prism
By substituting the measures of the sides given in the picture,
Surface area = 2(2×3 + 3×8 + 8×2)
= 2(6 + 24 + 16)
= 2(46)
= 92 square feet
Therefore, surface area of the given rectangular prism is 92 ft².
Answer:
90/13, 45/13
Step-by-step explanation:
![- 2 = x \\ 7x + 9y = - 45 \\ \\ 7 \times ( - 2)y + 9y = - 45 \\ y = 9 \\ \\ 7x + 9 \times 9 = - 45 \\ x = - 18 \\ (x.y) = (- 18.9) \\ \\](https://tex.z-dn.net/?f=%20-%202%20%3D%20x%20%5C%5C%207x%20%2B%209y%20%3D%20%20-%2045%20%5C%5C%20%20%5C%5C%207%20%5Ctimes%20%28%20-%202%29y%20%2B%209y%20%3D%20%20-%2045%20%5C%5C%20y%20%3D%209%20%5C%5C%20%20%5C%5C%207x%20%2B%209%20%5Ctimes%209%20%3D%20%20-%2045%20%5C%5C%20x%20%3D%20%20-%2018%20%5C%5C%20%28x.y%29%20%3D%20%20%28-%2018.9%29%20%5C%5C%20%20%5C%5C%20)
Simplify:
![- 2 \times 9 = - 18 \\ 7 \times ( - 18) + 9 \times 9 = - 45 \\ - 18 = - 18 \\ - 45 = - 45](https://tex.z-dn.net/?f=%20-%202%20%5Ctimes%209%20%3D%20%20-%2018%20%5C%5C%20%207%20%5Ctimes%20%28%20-%2018%29%20%2B%209%20%20%5Ctimes%209%20%3D%20%20-%2045%20%5C%5C%20%20-%2018%20%3D%20%20-%2018%20%5C%5C%20%20-%2045%20%3D%20%20-%2045)
Answer:
The power for the volume of the cube is '3'.
Exponent form of the volume is
Volume of the cube is inch³.
Step-by-step explanation:
We are given,
A cube with side equal to inches.
As we know,
Volume of a cube =
Thus, we get,
Volume of the given cube is,
Volume =
i.e. Volume = inch³
Thus, we have,
The power for the volume of the cube is '3'.
Exponent form of the volume is
Volume of the cube is inch³.