The cube of 12 is (12 x 12 x 12) = 1,728 .
The volume of a cube with side-length of 7 units is
(7 units x 7 units x 7 units) = 343 cubic units.
The volume of a cube with side-length of 14 units is
(14 units x 14 units x 14 units) = 2,744 cubic units.
<span>The number of 1 by 1 unit cubes that would equal the volume
of the figure shown can't be determined, because the figure is </span>
not shown.
The volume of the figure <span>can't be determined, because the figure
is not shown.</span>
Check the picture below.
I'd like to point out, is 1:5 from R to T, since that matters, that way we know the ratio from RS is the 1 and the ratio ST is the 5.
Answer:
A) (-8, -16)
B) (0, 48)
C) (-4, 0), (-12, 0)
Step-by-step explanation:
A) the vertex is the minimum y value.
extremes of a function we get by using the first derivation and solving it for y' = 0.
y = x² + 16x + 48
y' = 2x + 16 = 0
2x = -16
x = -8
so, the vertex is at x=-8.
the y value is (-8)² + 16(-8) + 48 = 64 - 128 + 48 = -16
B) is totally simple. it is f(0) or x=0. so, y is 48.
C) is the solution of the equation for y = 0.
the solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case here
a=1
b=16
c=48
x = (-16 ± sqrt(16² - 4×48)) / 2 = (-16 ± sqrt(256-192)) / 2 =
= (-16 ± sqrt(64)) / 2 = (-16 ± 8) / 2 = (-8 ± 4)
x1 = -8 + 4 = -4
x2 = -8 - 4 = -12
so the x- intercepts are (-4, 0), (-12, 0)
Answer:
true
Step-by-step explanation:
Tbh, they are in the correct order!
