Answer: 5/24
Step-by-step explanation:
First:
Reduce fractions where possible.
Then your initial equation becomes:
5/16 * 2/3
Second:
Applying the fractions formula for multiplication,
5*2 and 16*3 = 10/48
Simplifying 10/48, the answer is
5/24
The equation for
the standard form of parabola is given as:
y = A (x - h)^2 +
k
with (h, k) being
the (x, y) coordinates of the vertex
For the given
problem, we are given that (h, k) = (5, - 12).
We can then use point (0, 63) for x and y to solve for A
63 = A (0 - 5)^2 - 12
75 = A (25)
A = 75 / 25
A = 3
Equation of given
parabola:
y = 3 (x - 5)^2 - 12
We can now solve for the x –intercept:
Set y = 0, then solve for x
0 = 3 (x - 5)^2 -
12
3 (x - 5)^2 = 12
(x - 5)^2 = 4
Taking sqrt of
both sides
x - 5= ±2
x = -2 - 5 = -7
and x = 2 - 5 = - 3
x = -3, -7
Answer:
x-intercepts of given parabola: -3 and -7
(-3, 0) and (-7,
0)
15/.005(.50% as a decimal)
3000
To check
3000*.005(again .50% as a decimal)=15
Answer:
angles
Step-by-step explanation:
trust me
Answer:
Dimensions will be 4 * 2 cm.
Step-by-step explanation:
l = length of rectangle and w = width
Perimeter = 2l + 2w = 12
l + w = 6.
---> l = 6 - w
Volume of the cylinder
V = πr^2l
w = 2πr
--> r = w/2π
l = 6 - w so
V = π(w/2π)^ 2 * (6 - w)
---> V = w^2/4π (6- w)
---> V = 3w^2/ 2π - w^3/4π
Differentiating:
dV/ dw = 6w/ 2π - 3w^2 / 4π
= - 3(w - 4)w / 4π
This equals 0 for maximum volume
- 3(w - 4)w / 4π = 0
w = 0 or w = 4
