Answer:
<h2>y=50</h2>
Step-by-step explanation:
y/5=10
x everything by 5 to get y on its own
y=50
It's obviously the second one
Answer:
(-13,-4)
Step-by-step explanation:
4x-8y=-20
9x+113=y
Substitute in y for 9x+113
4x-8y=-20
Substitute
4x-8(9x+113)=-20
Simplify
4x-72x-904=-20
Simplify
-68x-904=-20
Additive Prop. of Equality
-68x-904+904=-20+904
Simplify
-68x=884
Isolate the variable(x)
<u>-68x</u>=<u>884</u>
-68x -68x
Simplify
x=-13
Solve for y
9x+113=y
9(-13)+113=y
-117+113=y
-4=y
Check
4x-8y=-20
4(-13)-8(-4)=-20
-52+32=-20
-20=-20
9x+113=y
9(-13)+113=-4
-117+113=-4
-4=-4
14. For a prism, the volume is given by
.. V = Bh . . . . . . . . where B is the area of the base, and h is the height of the prism
For a pyramid, the volume is given by
.. V = (1/3)*Bh . . . . where B is the area of the base, and h is the height of the pyramid
The volume is proportional to the area of the base. If the dimensions of the base decrease linearly to zero at the height of the geometry as they do for pyramids and cones, then the volume formula includes a factor of 1/3.
15b. The volume of a pyramid is 1/3 that of a prism with the same base area and height.