# How do you find all points that have an x -coordinate of –4 and whose distance from point (4, 2) is 10?

By using the distance formula.

Squaring both sides we have

y_2 = -8, y_2 = 4

By signing up, you agree to our Terms of Service and Privacy Policy

To find all points with an x-coordinate of -4 and a distance of 10 from point (4, 2), we can use the distance formula. The distance formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Substituting the given values, we have:

10 = √((-4 - 4)^2 + (y - 2)^2)

Simplifying the equation, we get:

100 = (-8)^2 + (y - 2)^2

100 = 64 + (y - 2)^2

36 = (y - 2)^2

Taking the square root of both sides, we have:

±6 = y - 2

Solving for y, we get:

y = 6 + 2 = 8 or y = -6 + 2 = -4

Therefore, the two points that satisfy the given conditions are (-4, 8) and (-4, -4).

By signing up, you agree to our Terms of Service and Privacy Policy

- How do you simplify the expression #(sqrt13+sqrt11)(sqrt13-sqrt11)#?
- What is the square root of 27 plus the square root of 12?
- How do you simplify #(5+sqrt3)(5-sqrt3)#?
- How do you solve #sqrt(x+15) - sqrt(2x+7)=1#?
- How do you use the Pythagorean Theorem to determine if the three numbers could be the measures of the sides of a right triangle assuming that the largest is the hypotenuse: 72, 17, 19?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7