Answer:
B. 100
Step-by-step explanation:
(m + n)^2
= m^2 + 2mn + n^2
Rearrange
(m^2 + n^2) + 2mn
Substitute
(68) + 2*16
= 68 + 32
= 100
Answer: The number of letters that must be engraved for the costs to be the same is 125.
Step-by-step explanation:
Since we have given that

We need to find the number of letters.

Hence, the number of letters that must be engraved for the costs to be the same is 125.
To write the equation of the line, we will use the point-slope formula.
To do this, we need a point and a slope.
We can find out slope by using the slope formula.
m = y₂ - y₁ / x₂ - x₁
So we have 5 - 9 / 3 - 1 or -4/2 which is -2.
Now let's use the point-slope formula.
y - y₁ = m(x - x₁)
Now substitute one of our points (x₁, y₁) into our formula.
So we have y - 5 = -2(x - 3).
Distributing the -2 gives us y - 5 = -2x + 6.
Moving the -5 to the right, we have y = -2x + 11.
So y = -2x + 11 is our equation.