7√7
using the ' rule of radicals '
• √a × √b ⇔ √ab
simplifying the radicals
√28 = √(4 × 7 ) = √4 × √7 = 2√7
√63 = √(9 × 7) =√9 × √7 = 3√7
√112 = √(16 × 7 ) = √16 × √7 = 4√7
substituting into the expression
3(2√7) - 5(3√7) + 4(4√7) = 6√7 - 15√7 + 16√7 = 7√7
Divide the diameter by 2 to get the radius and then plug into cone volume pi*r^2*h/3 which is a bit under 160 so the answer is A
Answer:
x=2
Step-by-step explanation:
use distributive property: x^2+2x-1=4
remove the -1 by adding 1 on both sides: x^2+2x=5
use the guadratic fromula: ax²+bx+c=0
plug in the equation x^2+2x-5=0
a,b and c are the coefficients to plug into the formula
a=1, b=2, c=-1
Finally, you will find that x=2
8=2*2*2=2^3
32=2*2*2*2*2=2^5
<span>[8^(2/3)] / [32^(2/5)] = [</span>(2^3)^(2/3)] / [(2^5)^(2/5)] =
= [2^(3*2/3)] / [2^(5*2/5)]= [2^2] / [2^2] = 4/4 = 1
Answer: 1
Answer:
2x = 10
Step-by-step explanation:
7 + 3x = 22
-7 -7
Subtract 7 from both sides (you are trying to get the variable alone, and to do that, you have to get every other number to 0. <em>7 - 7 = 0</em>. BUT, whatever you do, you have to do to both sides.)
3x = 15
/3 /3
Divide both sides by three to get the variable alone.
x = 5
Now, plug in the value of x to the second equation and solve.
2(5) = ? --> 10
