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Can someone help me

Can someone help me-example-1

1 Answer

7 votes

Answer:

1) The distance between points is:
√(290)

Option B is correct option.

2) The distance between points is:
√(10)

Option A is correct option.

Explanation:

Find the distance between points

Question 1

(8,-5),(-3,8)

The formula used is:
Distance=√((x_2-x_1)^2+(y_2-y_1)^2)

We have
x_1=8, y_1=-5,x_2=-3,y_2=8

Putting values and finding distance


Distance=√((x_2-x_1)^2+(y_2-y_1)^2)\\Distance=√((-3-8)^2+(8-(-5))^2)\\Distance=√((-11)^2+(8+5)^2)\\Distance=√((-11)^2+(13)^2)\\Distance=√(121+169)\\Distance=√(290)

So, the distance between points is:
√(290)

Option B is correct option.

Question 2

(-1,6),(-4,-7)

The formula used is:
Distance=√((x_2-x_1)^2+(y_2-y_1)^2)

We have
x_1=-1, y_1=6,x_2=-4,y_2=-7

Putting values and finding distance


Distance=√((x_2-x_1)^2+(y_2-y_1)^2)\\Distance=√((-4-(-1))^2+(-7+6)^2)\\Distance=√((-4+1)^2+(-1)^2)\\Distance=√((-3)^2+(-1)^2)\\Distance=√(9+1)\\Distance=√(10)

So, the distance between points is:
√(10)

Option A is correct option.

User Pnsadeghy
by
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