To solve this problem, we can use the formula for the difference of squares, which states that a^2 - b^2 = (a - b)(a + b).

Given that v^2 - w^2 = 60, we can rewrite this as (v - w)(v + w) = 60.

We are also given that v + w = 4.

Substituting v + w = 4 into the equation (v - w)(v + w) = 60, we get (v - w) * 4 = 60.

Solving for v - w, we divide both sides of the equation by 4 to get v - w = 60 / 4 = 15.

So, the answer is (E) 15.

Question

To solve this problem, we can use the formula for the difference of squares, which states that a^2 - b^2 = (a - b)(a + b).

Given that v^2 - w^2 = 60, we can rewrite this as (v - w)(v + w) = 60.

We are also given that v + w = 4.

Substituting v + w = 4 into the equation (v - w)(v + w) = 60, we get (v - w) * 4 = 60.

Solving for v - w, we divide both sides of the equation by 4 to get v - w = 60 / 4 = 15.

So, the answer is (E) 15.

Knowee AI · Accepted Answer

To solve this problem, we can use the formula for the difference of squares, which states that a^2 - b^2 = (a - b)(a + b).

Given that v^2 - w^2 = 60, we can rewrite this as (v - w)(v + w) = 60.

We are also given that v + w = 4.

Substituting v + w = 4 into the equation (v - w)(v + w) = 60, we get (v - w) * 4 = 60.

Solving for v - w, we divide both sides of the equation by 4 to get v - w = 60 / 4 = 15.

So, the answer is (E) 15.

If v2 - w2 = 60 and v + w = 4, what is v - w?(A) 4(B) 6(C) 10(D) 12(E) 15