Answer:

Step-by-step explanation:
<u>Given expression:</u>
<h3>= 2(4f + 2g)</h3>
Distribute 2 to both terms.
<h3>= 8f + 4g</h3>
We can also split 8f into 4f and 4f.
<h3>= 4f + 4f + 4g</h3>
If we take 4 common
= 4(f + f + g)
<h3>= 4(2f + g)</h3>
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
<h2>Question :</h2>
<h3>Solve the proportion : </h3>

<h2>Answer :</h2>






Hence, The solution is 
Answer with positive exponent =
or 
Answer with negative exponent = 
===========================================================
Explanation:
The rule we use is

If we multiply two exponential expressions with the same base, then we add the exponents.
The base for each is 5. The exponents 4 and -7 add to -3.
This means

To convert to a positive exponent, we apply the reciprocal to the base. We go from 5, aka 5/1, to 1/5.
So, 
Answer:
x = +2√21 and y = +2√30
Step-by-step explanation:
The two marked sides of the smaller triangle are x and y. The third side has length equal to 14 - 8, or 6.
We can thus write two equations in x and y:
x^2 = y^2 + 6^2
and
y 6
-- = ---
8 y
Solving the first equation for y^2 yields y^2 = 36 - x^2. Solving the second equation for y^2 yields 48. Thus 36 - x^2 = 48, and
x^2 = 84. Thus, x = +√7*√4*√3, or x = +2√21.
We now find y. y^2 = 36 = x^2, which here becomes
y^2 = 36 + 4(21) = 36 + 84 = 120. Thus, y = +√4*√30, or y = +2√30.