Question

Which of the following sums would be under the radical symbol to find the distance between the points (7, -1) and (-8, -9)?

1^2 + 10^2
1^2 + 8^2
15^2 + 8^2

Answer 1

d² = (x2 - x1)² + (y2 - y1)²

d² = [ (-8) - (-2) ]² + [ (-2) - (-10) ]²
d² = [ (-8) + 2 ]² + [ (-2) + 10 ]²
d² = [ -6 ]² + [ 8 ]²
d² = 36 + 64
d² = 100
d = 10

Answer 2

to find the distance between two points we use this formula

Answer 3

sqrt ((-2 - (-8))^2 + (-10 - (-2))^2) = sqrt (6^2 + (-8)^2) = 10

Answer 4

d = √([x2 - x1)² + (y2 - y1)²]

(-2, -10) , (-8, -2)

d = √{[-8 - (-2)]² + {[-2 - (-10)]²} {substituted into distance formula}
= √[(-8 + 2)² + (-2 + 10)²] {simplified the double negative signs}
= √[(-6)² + (8)²] {added inside parentheses}
= √(36 + 64) {evaluated exponents}
= √100 {added 36 and 64}
= 10 {evaluated the square root of 100}

Answer 5

B is correct option

Answer 6

thank you

Answer 7

@is3535 you did wrong

Answer 8

welcome my brother