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3 years ago

On the number line below, P represents a number. What is the value of the opposite of that number?

Mathematics

1 answer:

Alex787 [66]3 years ago

7 0

1.5 that is the correct answer

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Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-t

NeTakaya

We have been given that Layana’s house is located at $(2\frac{2}{3}, 7\frac{1}{3})$ on a map. The store where she works is located at $(-1\frac{1}{3}, 7\frac{1}{3})$ .

We are asked to find the distance from Layana’s home to the store

We will use distance formula to solve our given problem.

Let us convert our given coordinates in improper fractions.

$2\frac{2}{3}\Rightarrow \frac{8}{3}$

$7\frac{1}{3}\Rightarrow \frac{22}{3}$

$-1\frac{1}{3}\Rightarrow -\frac{4}{3}$

Now we will use distance formula to solve our given problem.

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

Upon substituting coordinates of our given point in above formula, we will get:

$D=\sqrt{(\frac{22}{3}-\frac{22}{3})^2+(\frac{8}{3}-(-\frac{4}{3}))^2}$

$D=\sqrt{(0)^2+(\frac{8}{3}+\frac{4}{3})^2}$

$D=\sqrt{0+(\frac{8+4}{3})^2}$

$D=\sqrt{(\frac{12}{3})^2}$

$D=\sqrt{(4)^2}$

$D=4$

Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.

3 0

3 years ago

Read 2 more answers

Mr.banks left work at 5:15p.m it took him 1 1/4 hours to drive home.at what time did me.banks arrive home?

Reptile [31]

6 hours and 40 mins which would be 6:45

8 0

4 years ago

A number plus five times its reciprocal is equal to 6<br>Find the number.

USPshnik [31]

Answer:

5, 5+ 5(1/5) 5 is the number

6 0

3 years ago

Could you guys help meee

Alisiya [41]

1. y= 2x

2. (0, 5)

3. y = 3x + 12

<h3>What is Algebra?</h3>

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

1. let us take (0,0) and (1, 2)

m= 2-0/1-0

m= 2

So equation of line

y- 0 = 2(x-0)

2. y= 3x+5

passes through (0, 5)

3. y= 3x+5

m = 3

We need the equation of a line with slope 3 that passes through point (0, 12).

y - y1 = m(x - x1)

y - 12 = 3(x - 0)

y - 12 = 3x

y = 3x + 12

Learn more about algebra here:

brainly.com/question/953809

#SPJ1

7 0

2 years ago

Which of the following are point-slope equations of the line going through (-3, 4) and (2, 1)? Check all that apply. A. y-1 = g(

Artist 52 [7]

The point slope equation of the line going through (-3,4) and (2,1) is

$y - 1 = - 3 \frac{(x - 2)}{5}$

or,

$y - 4 = - 3 \frac{(x + 3)}{5}$

Answered by GAUTHMATH

5 0

3 years ago