Answer:
x=-15
x=6
x=3
x=-21
Step-by-step explanation:
Answer:
1. x = 15 in
2. x = 8 m
Step-by-step explanation:
1. Given:
length = 10 in
width = 3 in
height = x in
surface area of the rectangular prism = its volume
Required:
Value of x
Area = 2(wl + hl + hw)
Volume = l*w*h
Therefore:
2(3*10 + x*10 + x*3) = 10*3*x
2(30 + 10x + 3x) = 30x
2(30 + 13x) = 30x
60 + 26x = 30x
Subtract 26x from both sides
60 + 26x - 26x = 30x - 26x
60 = 4x
Divide both sides by 4
60/4 = 4x/4
15 = x
x = 15 in
2. Given:
length = 8 m
width = 4 m
height = x m
surface area of the rectangular prism = its volume
Required:
Value of x
Area = 2(wl + hl + hw)
Volume = l*w*h
Therefore:
2(4*8 + x*8 + x*4) = 8*4*x
2(32 + 8x + 4x) = 32x
2(32 + 12x) = 32x
64 + 24x = 32x
Subtract 24x from both sides
64 + 24x - 24x = 32x - 24x
64 = 8x
Divide both sides by 8
64/8 = 8x/8
8 = x
x = 8 m
Answer:
it would be C) focus: (0,3); directrix: y=-3
Step-by-step explanation:
Equation 1) 3x = 9 - 6y
Equation 2) 3x + 8y = 9
Add 6y to both sides in equation #1.
1) 3x + 6y = 9
2) 3x + 8y = 9
Subtract equations from one another.
-2y = 0
Divide both sides by -2.
y = 0
Plug in 0 for y in the first equation.
3x = 9 - 6y
3x = 9 - 6(0)
Simplify.
3x = 9 - 0
Simplify.
3x = 9
Divide both sides by 3.
x = 3
So, x = 3, y = 0
~Hope I helped!~
Answer:
A
Step-by-step explanation:
9*12 = 108
108/2 = 54
