Solution:
We are given with the two numbers=32 and 96
Product of the given numbers=
But Rosa rewrites the 96 as a sum or difference of two numbers and uses the distributive property
As we know, the Distributive property is 
Now, 
So, option 'd' is correct
Answer:-5y=-3x+10
Divide all by -5
Y= 3/5x+10/-5
Negative divide by negative is positive--3/-5= 3/5
Slope is 3/5 y intercept is -2
Step-by-step explanation:
The value of x in the given diagram is 10
<h3>Similar triangles </h3>
From the question, we are to determine the value of the side labeled x
First, we will find the value of side |BC|
By the <em>Pythagorean theorem</em>, we can write that
|BC|² = 12² + 16²
|BC|² = 144 + 256
|BC|² = 400
|BC| = √400
|BC| = 20
Now,
Since ΔABC and ΔDEF are similar, we can write that
|BC| / |EF| = P ΔABC / P ΔDEF
But,
P ΔABC = 12 + 16 + 20 = 48
Thus,
|BC| / |EF| = P ΔABC / P ΔDEF becomes
20/ |EF| = 48/24
20/x = 2
x = 20/2
x = 10
Hence, the value of x in the given diagram is 10
Learn more on Similar triangles here: brainly.com/question/24085502
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