Question

Find the length??????????

Answer 1

√53 or 7.28

Explanation:

To find the length of the line segment from the point (4, 2) to the point (-3, 4), you can use the distance formula, which is:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates of the two points, you get:

distance = √((-3 - 4)^2 + (4 - 2)^2)

Simplifying this expression gives:

distance = √((-7)^2 + (2)^2)

Which simplifies to:

distance = √(49 + 4)

Which simplifies to:

distance = √53

So the length of the line segment from the point (4, 2) to the point (-3, 4) is approximately 7.28.

Answer 2

We could use the slope to find the length, treat the line as a hypotenuse, and we can use the Pythagorean theorem. Our triangle sides would be 2, 7, and x, x being the length we want to find, we plug them to the Pythagorean theorem and we get 2^2+7^2=x^2, 4+49=x^2, 53=x^2 the length is the square root of 53