On a coordinate grid, the distance between point F and point G is 13 units. Point F is located at (-1, 3). Point G is located at

Question

Vanyuwa [196]

3 years ago

5

On a coordinate grid, the distance between point F and point G is 13 units. Point F is located at (-1, 3). Point G is located at

(x, -9). Which value could be the value of x?

Mathematics

2 answers:

dangina [55] · Answer 1 · 2022-02-06T19:55:12+03:00

dangina [55]3 years ago

5 0

Using the distance formula i was able to calculate x=-6

GREYUIT [131] · Answer 2 · 2022-02-06T21:53:53+03:00

GREYUIT [131]3 years ago

5 0

(x+1)² + (-9-3)² = 13²
x² + 2x + 1 + 144 = 169
x² + 2x + 145 - 169 = 0
x² + 2x - 24 = 0
D = 4 + 96 = 100 = 10²
x₁ = (-2-10)/2 = -6
x₂ = (-2+10)/2 = 4

Аnswer: x=-6 or x=4