Step-by-step explanation:
We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.
<u>Step 1</u>
Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.
<u>Step 2</u>
The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.
Our final answer: l = 7.5 feet
We can check our answer by multiplying all the numbers together.
4 * 5* 7.5 = 150
Answer:
40 sq u.
Step-by-step explanation:
The distance between the points (-1, -4) and (-1, 6) is 10. That is one of your side lengths
The distance between the points (-1, 6) and (3, 6) is 4. That is the other side's length
10 * 4 = 40
Answer:
Step-by-step explanation:
f(x) = ax+b
passing through the point (6,-1) : when x = 6 f(x) = -1
means : -1 = a (6)+b
passing through the point (-3,-2) : when x = -3 f(x) = -2
means : --2 = a (-3)+b
you have the system :: 6a +b = - 1......(1)
-3a +b = -2........(2)
by (1) : b = -1 - 6a
by (2) : b = -2+3a
so : -2+3a = -1 - 6a
3a+6a =2 -1
9a =1 a =1/9 put the value of a in (1) or (2) : -3(1/9)+b = - 2
-1/3 +b = - 2
b = -2+1/3
b = -5/3
f(x) = 1/9 x - 5/3