Okay is this correct? Pls lmk! <3

Complete Question:

The given line segment has a midpoint at (3, 1). On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, -2).

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

Answer:

[tex]y = \frac{1}{3}x[/tex]

Step-by-step explanation:

From the question, we understand that the line goes through [tex](2, 4), (3, 1), and\ (4, -2).[/tex]

First, we calculate the slope of the above points

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (2,4)[/tex]

[tex](x_2,y_2) = (3,1)[/tex]

[tex]m = \frac{1 - 4}{3 - 2}[/tex]

[tex]m = \frac{-3}{1}[/tex]

[tex]m = -3[/tex]

Also; from the question, we understand that the line segment is perpendicular to the above points.

This slope (m2) of the line segment is calculated as:

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute -3 for m

[tex]m_2 = -\frac{1}{-3}[/tex]

[tex]m_2 = \frac{1}{3}[/tex]

Lastly, we calculate the equation of the line using:

[tex]y - y_1 = m_2(x - x_1)[/tex]

The line segment has a midpoint at (3, 1)

So:

[tex]y - 1 = \frac{1}{3}(x - 3)[/tex]

Open bracket

[tex]y - 1 = \frac{1}{3}x - 1[/tex]

Add 1 to both sides

[tex]y - 1 +1= \frac{1}{3}x - 1+1[/tex]

[tex]y = \frac{1}{3}x[/tex]

Hence, the equation of the line segment is: [tex]y = \frac{1}{3}x[/tex]

Answer:

A. y = One-thirdx

Step-by-step explanation:

2020 Edge

Answer:

Banded Lat Stretch. The range of motion in the shoulders is directly connected to how well the muscles of the upper back allow them to move.

Banded Pull Aparts.

Banded Pass Through.

Pull Ups

Push Ups

Step-by-step explanation:

Some exercises to strengthen the upper body include:

1. Chest Press.

2. Bench Dip.

3. Bicep Curl.

4. Pull Ups.

5. Push Ups.

6. Arm Raise

Answer:

x=34

Step-by-step explanation:

m is a perpendicular bisector that basically cuts ab right down the middle creating two equal parts

using this info, u now know that 3x+77 and 6x+25 are equal to each other

3x+77=6x-25

77=3x-25

102=3x

x=34

Answer:

What events or steps are described?

Do these things need to occur in a particular order?

Step-by-step explanation:

Answer:

3x + y = -5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Standard Form: Ax + By = C

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

[PS]   y - 11 = 3(x - 2)

Step 2: Rewrite

Find Standard Form

Answer: 96 fluid ounces

Step-by-step explanation:

1 quart = 32 fluid ounces

32 x 3 = 96

1 x 3 = 3

There are 96 fluid ounces in 3 quarts.

Hope this helps!

Answer:

B; The length or width of the actual item

Step-by-step explanation:

In cases like this, to find the scale factor, we will need to make a comparison between the length or width of the scale model and the length or width of the actual item

By having a further information about the length or width of the actual item, then we can actually make a comparison by dividing the length or width of both cases by each other

This means that we compare the length of the scale model and the length of the actual item

Then the width of the scale model and the width of the actual item

Answer:

17 animals

Step-by-step explanation:

Rachel has a collection of 40 stuffed animals

3/8 are bears

= 3/8 ×40

= 120/8

= 15

1/5 are dogs

= 1/5×40

= 40/5

= 8

15+8

= 23

Therefore the number of animal she have left can be calculated as follows

= 40-23

= 17

Hence there are 17 animals left

Answer:

In question number 9 I think is: 3. In question number 10 is: 3. If is not corect well...Im sorry I tried my best :) Hope it helps!

Step-by-step explanation:

Answer:

The answer is 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/5=40/100 40 out of 100 is 40%

Answer:

x=-9

Step-by-step explanation:

9=-3(x+6)

9=-3x-18

27=-3x

-9=x

Answer: Slope= 0.833/2.000= 0.417

​

Step-by-step explanation:

Answer:

x=12/5y+24/5

Step-by-step explanation:

5x-12y=24

add 12y to both sides

problem comes down to 5x=12y+24

divide everything by 5

Answer:

[tex]70\ \text{kilometers}[/tex]

Step-by-step explanation:

The scale of the map is 1 centimeter distance on the map represents 20 kilometers of actual distance.

The distance between the two cities is 3.5 centimeters on the map

[tex]1\ \text{centimeters on the map}=20\ \text{kilometers of actual distance}[/tex]

So,

[tex]3.5\times 20=70\ \text{kilometers}[/tex]

So, the distance between the two cities is [tex]70\ \text{kilometers}[/tex].

Answer:

132

Step-by-step explanation:

you have to reduce the expression by solving 0.09 divided by 1.21 bc of the PEMDAS rule you do 1st parentheses first which is 0.1089 then do the second set of () which is 0.000825 then divide the 2 answers for 132

Answer:

Concept: Higher level Mathematics- Derivatives

[tex] \frac{ax + b}{ \sqrt{x} } \frac{d}{dx} [/tex]

Answer:

0.4

Step-by-step explanation:

The numbers -3.5 and -3.1 have a difference in value of 0.4

An easy way to look at this is to remove the decimal points. 35 - 31 is equal to 4, so that would make the difference 0.4.

Because both numbers are negative, the x must be a positive.

Therefor, 0.4 - 3.5 = -3.1

Answer:

18 minutes

Step-by-step explanation:

1. 45 minutes is the TOTAL amount she reads so it can be expressed as x/45

*x=a part

2. set up a proportion

x/45 = 2/5

3. now solve by either cross multiplication or finding a scale factor. I am finding a scale factor because that is easiest.

45/5=9

so 5 * 9 = 45

so 2 * 9 = 18

the asnwer is 18. I hope this helps

Answer:

x = 78

Step-by-step explanation:

180 - 60 - 42 = 78

Pardon me if i'm wrong :/

Answer:

B I believe.

Step-by-step explanation:

it would be 0 as its a 0 slope, hence forth the parallel line would also be 0!

Answer:y

=

2

x

−

y

Step-by-step explanation:

Answer:

-12, -11, -10 and -9 add up to -42

Step-by-step explanation:

We can solve this by expressing all four of those integers relative to the first one:

[tex]x + (x + 1) + (x + 2) + (x + 3) = -42\\4x + 6 = -42\\4x = -48\\x = -12[/tex]

so we know that the lowest one is -12, and the other three are sequentially higher value:

-12, -11, -10 and -9

Answer: -12, -11, -10, -9

Step-by-step explanation:

they all add up to -42

Answer:

Rational

Step-by-step explanation:

All rational numbers can be written as fractions.

Answer:

Total income = $588

Step-by-step explanation:

Given:

Weekly salary = $330

Commission = 6%

Total sales = $4,300

Find:

Total income

Computation:

Total commission = $4,300 x 6%

Total commission = $258

Total income = Weekly salary + Total commission

Total income = $330 + $258

Total income = $588

Final Answer: No Solution. 4(3x + 2) = 4(2x + 3) + 4x has 0 solutions.

Steps/Reasons/Explanations:

Hey there! 8 = 12 would have No Solution because 8 doesn't equal 12. An example of 1 solution is 12 = 12.

Question: How many solutions does 4(3x + 2) = 4(2x + 3) + 4x have?

Step 1: Expand.

[tex]12x + 8 = 8x + 12 + 4x[/tex]

Step 2: Simplify [tex]8x + 12 + 4x[/tex] to [tex]12x + 12[/tex].

[tex]12x + 8 = 12x + 12[/tex]

Step 3: Subtract [tex]12x[/tex] on both sides.

[tex]8 = 12[/tex]

Step 4: Because [tex]8 = 12[/tex] is false, there is no solution.

No Solution

~I hope I helped you :)~

Answer:

Step-by-step explanation:

steps are stated below

step 1

4(3x+2)=4(2x+3) +4x  equation

step 2

4(3x+2)=4(2x+3) +4x  simplify

(4)(3x)+(4)(2)=(4)(2x)+(4)(3)+4x

step 3

12x+8=8x+12+4x  distribute

step 4

12x+8=(8x+4x)+(12)  combine the terms

12x+8=12x+12

step 5

12x+8(-12x)=12x+12(-12x)  subtract

8=12

step 6

8(-8)=12(-8)

0=4

Answer

No solution

Answer:

Its C

Step-by-step explanation:

the line crosses the x axis twice at the 2,0 point and the 6,0 point