Answer:
Step-by-step explanation:
Rationalize the denominator of b. So, multiply the numerator and denominator by 

Now, find a +b

Combine like terms

Now find (a + b)²
(a +b)² = 

Hint: 
Answer:
The correct answer is 9 m per 
Step-by-step explanation:
Force is defined by mass of an object times it's acceleration.
Let the mass of the object be m kilograms.
When a force of 30 N acts on a certain object the acceleration of the object is 5 m per 
∴ 30 = m × 5
⇒ m = 6.
If the force is changed to 54 N, let the acceleration of the object be x m per
.
∴ 54 = m × x
⇒ x =
= 9
Thus when the force is 54 N, the acceleration of the object is 9 m per
.
Answer:
Step-by-step explanation:
8x = 9x - 7
-x = -7
x = 7
9(7)-7= 63-7=56
8(7)= 56
13y+7+56=180
13y+63=180
13y=117
y=9
13(9)+7= 117+7= 124
5y-11+56=90
5y+45=90
5y=45
y=9
5(9)-11+9(7)-7= z
45-11+63-7=z
34+56=z
90=z
Answer:
9 inches.
Step-by-step explanation:
Fun question! The length of a space diagonal for a cube is 
Thus, the first cube has a side diagonal of 
The next cube would have a side diagonal of 3
The third cube would have a side diagonal of 
And the fourth cube would have a side diagonal of 9.
Since the fifth cube has a side length equal to the side diagonal of the fourth cube, it should be 9 inches.