Answer:
b =± 5 sqrt(3)
Step-by-step explanation:
f(b) = b^2 – 75
To find the roots set the equation equal to zero
b^2 -75 =0
Add 75 to each side
b^2 – 75+75 = 0+57
b^2 = 75
Take the square root of each side
sqrt(b^2) = ±sqrt(75)
b = ±sqrt(3*25)
We know that sqrt(ac) = sqrt(a) sqrt(c)
b = ±sqrt(3)*sqrt(25)
b =± 5 sqrt(3)
Answer:
y = 5 + 2x
Step-by-step explanation:
Simplifying
2y = 4x + 10
Reorder the terms:
2y = 10 + 4x
Solving
2y = 10 + 4x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Divide each side by '2'.
y = 5 + 2x
Simplifying
y = 5 + 2x
Answer: 22
Step-by-step explanation:
just plug in 5 Hope I help u
Answer: n = 6
Step-by-step explanation:
First lets combine like terms
(3 + n) + 7 = 3 + (6 + 7)
10 + n = 16
Now let’s subtract 10 on each side to isolate x
N = 6
Now let’s check our work by inputting x just to make sure
(3 + 6) + 7 = 3 + (6 + 7)
9 + 7 = 3 + 13
16 = 16
So we are right!
Step-by-step explanation:
Scale factor = 4/3. Therefore radius if larger cone = 4r/3 where r is the radius of the smaller cone and height of larger cone = 4h/3 where h is the height of the larger cone.
So ratio of volumes = r^2 * h/(4r/3)^2 * 4h/3) = 9/16 * 3/4 = 27/64
30 is a similar process except it's cylinders so find the scale factor and go on with that problem.
