The formula used for determining the distance between two points is shown below. In case this equation is used for finding the distance between the origin and a point, the value of x1 and y1 would just be equal to zero.

distance = $\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }$

The given points can be directly substituted for the formula.

Let: x2= 1, x1= -5, y2= -1, and y1= 3

distance = $\sqrt{[1-(-5)]^{2} + (-1 -3)^2 }$

distance = $\sqrt{(6)^2+(-4)^2}$

distance = $\sqrt{52}$ or 7.21 units

When rounded to the nearest tenth, the distance between the two points would be 7.2 units.

For more information regarding the distance between points, please refer to the link brainly.com/question/23848540.

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3 0

2 years ago

What is a proportional linear relationship

Rina8888 [55]

A proportional relationship is just a linear relationship where b = 0, or to put it another way, where the line passes through the origin (0,0).

3 0

3 years ago

Read 2 more answers

Question is shown below.

Andrei [34K]

ANSWER

D. 4 minutes 40 seconds

EXPLANATION

The given data set showing the number of seconds of each song the playlist is:

283,204,198,229,173,230,168,236,215,204

Let the length of the 11th song be x.

Because he wants the mean to be 3 minutes 40 seconds, which is equal to 220 seconds, we write and solve the following equation for x.

$\frac{283 + 204 + 198 + 229 + 173 + 230 + 168 + 236 + 215 + 204 + x}{11} = 220$

$\frac{2140 + x}{11} = 220$

$2140 + x = 2420$

$x = 2420 - 2140$

$x = 280$

We convert 280 seconds to minutes.

$\frac{280}{60} = 4 \frac{2}{3} = 4mins : 40 sec$

The correct choice is D

3 0

3 years ago

7k = 3k - 36<br> It’s gotta be a step by step equation

vovikov84 [41]

K=-9 Bc you move the variable to the left and then collect like terms and divide both sides

8 0

3 years ago

How many times greater is 9 times 10 to the 5 power than 8 times 10 to the 2 power​

How many times greater is 9 times 10 to the 5 power than 8 times 10 to the 2 power