The cities of Raleigh, Durham, and Fuquay-Varina approximate a right triangle. The distance from Raleigh to Durham is 24 miles. The distance from Raleigh to Fuquay-Varina is 18 miles. What is the distance from Durham to Fuquay-Varina?

The distance from Durham to Fuquay-Varina is 30 miles.

Step-by-step explanation:

Given that the cities of Raleigh, Durham, and Fuquay-Varina approximate a right triangle, and the distance from Raleigh to Durham is 24 miles, while the distance from Raleigh to Fuquay-Varina is 18 miles, to determine what is the distance from Durham to Fuquay-Varina, the following calculation must be performed, applying the Pythagorean theorem:

18 ^ 2 + 24 ^ 2 = X ^ 2

324 + 576 = X ^ 2

√ 900 = X

30 = X

Therefore, the distance from Durham to Fuquay-Varina is 30 miles.

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

20%

step-by-step explanation: