which number makes this equation true?
v^2+10x+16=(v+8)(v+?)
a ) 2
b ) 4
c ) 6
d ) 8
To find the missing number, we need to expand the right side of the equation:
(v+8)(v+?) = v^2 + v(?) + 8v + 8(?)
Comparing this to the left side of the equation, we see that the missing number must satisfy these two conditions:
v(?) + 8(?) = 10x
8(?) = 16
From the second condition, we can see that the missing number is 2.
To verify this, we substitute 2 for the missing number in the first condition:
v(2) + 8(2) = 10x
2v + 16 = 10x
This equation is consistent with the given equation v^2+10x+16=(v+8)(v+?). Therefore, the missing number that makes the equation true is 2.
So, the answer is a) 2.