Use the distance formula to find the distance between the points.?

Question

(-4, -2), (-2, 2)

a. 2
b. 2√5
c. 12
d. 12√3

Answer 1

b.

root ((4-2)^2+(2+2)^2)
root (20)
2^2*5=20
root (2^285)
answer 2root (5)

Answer 2

you're almost perfect. You someway saved a destructive interior the unconventional. you ought to have SQRT(109). of direction distance does no longer contain complicated numbers or negatives. so which you knew something grew to become into amiss. paintings each and every thing interior the unconventional first: -3-0 = -3 (-3)^2 = 9 -9-a million = -10 (-10)^2 = one hundred leaves you with: SQRT(9+one hundred) SQRT(109) is approximately 10 which "feels" perfect once you think approximately the criteria 9 and a million. you additionally can draw a triangle and visualize it that way. This equation is in actuality taken from the pythagorean theorem. additionally, FYI, "radical" is the emblem ? intending to take the basis of a selection.

Answer 3

D=sq.rt.{[-4-(-2)]^2 + [-2-2]^2}
D=sq.rt.{(-2)^2+(-4)^2}
D=sq.rt.{4+16}
D=sq.rt.(20)
D=2rt(5)
Answer is b.

If you graph these two points, you will see that the
Distance Formula is simply the Pythagorean Theorem, and you are to find the Hypotenuse.

Answer 4

It is easier to eliminate the wrong answers! You can see from the points that are going to be about 4 units away. That eliminates a, c and d, leaving b as the answer.

Answer 5

d ² = (- 2 + 4) ² + (2 + 2) ²
d ² = 4 + 16
d ² = 20
d = 2√5
ANSWER b.

Answer 6

dist=[(x2-x1)^2+(y2-y1)^2]^1/2

=[(-2--4)^2+(2--2)^2]^1/2
=[(-2+4)^2+(2+2)^2]^1/2
=[(2)^2+(4)^2]^1/2
=[4+16]^1/2
=[20]^1/2
=2*(5)^1/2 so the answer is (b)

Answer 7

State the formula.
Substitute your numbers into it.

Answer 8

x1=-4 x2=-2 y1=-2 y2=2
dist=sqrt[(x2-x1)^2+(y2-y1)^2)]
=sqrt[(2^2+4^2)]=sqrt(20)=sqrt(4x 5)=2sqrt(5)
(b)

Answer 9

dist = root { (y2-y1)^2 + (x2-x1)^2 }