What’s the correct answer for this?

Mathematics

1 answer:

Svetach [21]3 years ago

8 0

Answer:

c) √137

Step-by-step explanation:

<u><em>Explanation</em></u>:-

The distance between two points formula

$\sqrt{(x_{2}-x_{1} )^{2} + (y_{2} -y_{1} )^{2} }$

Given points are R (3,7) and S(-1,-4)

$RS = \sqrt{(-1- (3 )^{2} + (-4 -7 )^{2} }$

$RS = \sqrt{(-4 )^{2} + (-11 )^{2} }$

$RS = \sqrt{16 + 121 }$

RS = √137

The distance between the two points are RS = √137

You might be interested in

What is he reciprocal of 3

LenKa [72]

1/3 because reciprocal is the opposite

4 0

3 years ago

Read 2 more answers

Passes through (3,-6) and (-1,2) slope intercept form?

IRISSAK [1]

Answer:

2/1

Step-by-step explanation:

8/4 which is also 2/1

7 0

3 years ago

Bradley and Kelly are out flying kites at a park one afternoon. A model of Bradley and Kelly's kites are shown below on the coor

Alex787 [66]

The correct answer is:

C. They are similar because the corresponding sides of kites KELY and BRAD all have the relationship 2:1.

Using the distance formula,

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

the lengths of the sides of BRAD are:

$\text{BR}=\sqrt{(7-6)^2+(3-4)^2}=\sqrt{1^2+(-1)^2}=\sqrt{1+1}=\sqrt{2}\\\\\text{RA}=\sqrt{(6-3)^2+(4-3)^2}=\sqrt{3^2+1^2}=\sqrt{9+1}=\sqrt{10}\\\\\text{AD}=\sqrt{(3-6)^2+(3-2)^2}=\sqrt{(-3)^2+1^2}=\sqrt{9+1}=\sqrt{10}\\\\\text{DB}=\sqrt{(6-7)^2+(2-3)^2}=\sqrt{(-1)^2+(-1)^2}=\sqrt{1+1}=\sqrt{2}$

The lengths of the sides of KELY are:

$\text{KE}=\sqrt{(2-0)^2+(11-9)^2}=\sqrt{2^2+2^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\\\\\text{EL}=\sqrt{(0-2)^2+(9-3)^2}=\sqrt{(-2)^2+6^2}=\sqrt{40}=2\sqrt{10}\\\\\text{LY}=\sqrt{(2-4)^2+(3-9)^2}=\sqrt{(-2)^2+(-6)^2}=\sqrt{40}=2\sqrt{10}\\\\\text{YK}=\sqrt{(4-2)^2+(9-11)^2}=\sqrt{2^2+(-2)^2}=\sqrt{8}=2\sqrt{2}$