-7(z - 6) = -70
-7z + 42 = -70
- 42 -42
-7z = -112
-7z/-7 = -112/-7
z = 16
Answer: z = 16
<span>Finding the volume of a cylinder or any other solid is found by multiplying the area of the base to the third dimension of height. The formula used to find the volume of a cylinder is pi times radius squared times height. Volume is measured in cubes or cubic </span>
Answer:
75 years.
Step-by-step explanation:
Divide 150 by 2, that gives you the years.
Answer:
Lewis's friend walked with him 9/25 miles
Step-by-step explanation:
Given that
Lewis walked 9/10 of a mile
And His friend accompanied him on 2/5 of the way.
This is a simple question of fraction multiplication
The fraction 2/5 has to multiplied with the miles walked by lewis
So

Hence,
Lewis's friend walked with him 9/25 miles
Because this is a positive parabola, it opens upwards, like a cup, and the vertex dictates what the minimum value of the function is. In order to determine the vertex, I recommend completing the square. Do that by first setting the function equal to 0 and then moving the 9 to the other side by subtraction. So far:

. Now, to complete the square, take half the linear term, square it, and add that number to both sides. Our linear term is 6. Half of 6 is 3 and 3 squared is 9. So add 9 to both sides.

. The right side reduces to 0, and the left side simplifies to the perfect square binomial we created while completing this process.

. Move the 0 back over and the vertex is clear now. It is (-3, 0). Therefore, 0 is the minimum point on your graph. The first choice above is the one you want.