Answer:
<h3>The option A)

is correct answer.</h3><h3>The correct simplification for the given expression

is

</h3>
Step-by-step explanation:
Given expression is x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4th power.
The given expression can be written as 
<h3>To choose the correct simplification of the given expression :</h3>
Now we have to simplify the given expression as below

( by using the identity
)

( by using the identity
)


∴ 
<h3>The correct simplification for the given expression

is

</h3><h3>Hence option A)

is correct answer.</h3>
Answer:No
Step-by-step explanation: Integers are whole numbers that can be positive or negatives no decimals or fractions.
77/5=99/x
77x=5*99
77x=495
x=495/77
x=6.4
she needs to study 6.4 hrs to get 99
Pythagorean Theorem: a^2 + b^2 = c^2
-A and B are legs of the triangle
-C is the hypotenuse
#1.
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
c = 10
#2.
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
c = 13
#4.
10^2 + 4^2 = c^2
100 + 16 = c^2
116 = c^2
c = 
#5.
15^2 + 9^2 = c^2
225 + 81 = c^2
306 = c^2
c = 
#6.
120^2 + b^2 = 150^2
14400 + b^2 = 22500
b^2 = 8100
b = 90
#7.
144^2 + b^2 = 194^2
20736 + b^2 = 37636
b^2 = 16900
b = 130
Hope this helps!! :)