Answer: 8 times.
Step-by-step explanation:
I will answer in English:
This says:
The volume of a cube is 125cm^3
How many times the volume will increase if we duplicate the lenght of the side?
If L is the lenght of the side, we have that the volume of the cube is:
V = L^3
If we duplicate the lenght of the side, the new volume is:
V = (2*L)^3 = 8*L^3
So we can see that the volume of the new cube is 8 times the volume of the previous cube.
Now, we can do the math, for our original cube we have:
L^3 = 125cm^3
L = 5cm
the new cube has L' = 2*L = 10cm
The volume of this cube is:
V' = L'^3 = 10cm^3 = 1000cm^3
the ratio V'/V is:
1000cm^3/125cm^3 = 8
The slope would be -2/2, or simplified, -1.
Answer:
The correct answer is option B.
5x⁵ + -8x³ + x² + 5x -1
Step-by-step explanation:
It is given that,
(x³ + 2x⁴ + 5x⁵ - 2x - 1) - (-7x - x² + 9x³ + 2x⁴)
<u>To find the subtraction result</u>
(x³ + 2x⁴ + 5x⁵ - 2x - 1) - (-7x - x² + 9x³ + 2x⁴)
= x³ + 2x⁴ + 5x⁵ - 2x - 1 + 7x + x² - 9x³ - 2x⁴)
= 5x⁵ + 2x⁴ - 2x⁴ + x³ - 9x³ + x²- 2x + 7x -1
= 5x⁵ + -8x³ + x² + 5x -1
The correct answer is option B.
5x⁵ + -8x³ + x² + 5x -1
Answer:
m∡P = 40°
Step-by-step explanation:
15m + 17 + 4m - 10 + 7m - 9 = 180
26m - 2 = 180
26m = 182
m = 7
∡P = 7(7) - 9 = 49 - 9 = 40
A is the answer to this question because if you plug in 8.6-5 it is approximately 3
