Find the midpoint of the segment with the following endpoints. (7,−2) and (1,−10)

Answers

Answer 1

Answer:

The answer is

[tex](4 \: , \: - 6)[/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(7,−2) and (1,−10)

The midpoint is

[tex]M = ( \frac{7 + 1}{2} , \: \frac{ - 2 - 10}{2} ) \\ = ( \frac{8}{2} , \: - \frac{12}{2} )[/tex]

We have the final answer as

[tex](4 \: , \: - 6)[/tex]

Hope this helps you


Related Questions

When the Better Builder Company completed a small construction job, they found that the following expenses had been incurred: labor, $672.25; gravel, $86.77; sand, $39.41; cement, $180.96; and bricks, $204.35. What total bill should they give the customer if they want to make a profit of $225 on the job?

Answers

Answer: 1372.33

Step-by-step explanation: add it all up

Addition can be defined as the process of adding two numbers. The total bill Better Builder Company should give the customer if they want to make a profit of $225 on the job is $1408.74.

What is Addition?

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

To make a profit the Better builder company needs to add all the expenses and the profit they need to make. Therefore, the sum can be written as,

Total Bil = $672.25 + $86.77 + $39.41 + $180.96 + $204.35 + $225

              = $1408.74

Hence, the total bill Better Builder Company should give the customer if they want to make a profit of $225 on the job is $1408.74.

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Help please and thank you. ❤️

Answers

Answer:

-3(x + 6)(x + 2)

Step-by-step explanation:

FACTOR

-3(x² + 8x + 12) FIND TWO #'S THAT ADD TO 8 AND MULTIPLIES TO 12

-3(x + 6)(x + 2)

-3(x+6)(x+2) hope this helped

set up and solve an equation for each problem below. ​

Answers

Answer:

Step-by-step explanation:

123+4 =127

what is the answer to 7x-35=30+6x

Answers

Answer:

x=65

Step-by-step explanation:

you have to get all variables to one side so you would subtract 6 from seven getting one and then add 35 to 30 giving you 65 :)

Answer:

x = 65

Step-by-step explanation:

7x - 35 = 30 + 6x First subtract 6x from both sides

x - 35 = 30 Then add 35 to both sides

x = 65

Solve for x. Image is below.

Answers

Answer:

44

Step-by-step explanation:

180-48/3 to find the value of x

2(n+2)=4n+1-2n

Whats the answer

Answers

Answer:

no solution

Step-by-step explanation:

Given

2(n + 2) = 4n + 1 - 2n ← distribute parenthesis on left side

2n + 4 = 2n + 1 ( subtract 4 from both sides )

2n = 2n - 3 ( subtract 2n from both sides )

0 = - 3 ← not possible

This indicates the equation has no solution

The original equation 2(n + 2) = 4n + 1 - 2n has no solution for n.

To solve the equation 2(n + 2) = 4n + 1 - 2n, we can simplify and then solve for the variable n.

First, distribute 2 to the terms inside the parentheses:

2n + 4 = 4n + 1 - 2n

Next, combine like terms on the right side:

2n + 4 = 2n + 1

Now, subtract 2n from both sides to isolate the n term:

2n - 2n + 4 = 2n - 2n + 1

4 = 1

Since 4 is not equal to 1, there is no solution to this equation.

Therefore, the original equation 2(n + 2) = 4n + 1 - 2n has no solution for n.

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A music company sells CDs for a particular artist. The company has advertising cost of $4,000 and recoding costs of $10,000; Their cost for manufacturing, royalties, and distribution are $5.50 per CD. They sell the CDs to Mage-Mart for $7.20 each

Answers

Answer:

Instructions are below.

Step-by-step explanation:

Giving the following information:

Fixed costs= 4,000 + 10,000= $14,000

Unitary variable cost= $5.5

Selling price= $7.2

To calculate the number of units to be sold to break-even, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 14,000 / (7.2 - 5.5)

Break-even point in units= 8,235 units

In dollars:

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 14,000 / (1.7/7.2)

Break-even point (dollars)= $59,294

Now, imagine the company requires a profit of $50,000:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= 64,000/1.7

Break-even point in units= 37,647 units

Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio

Break-even point (dollars)= 64,000 / (1.7/7.2)

Break-even point (dollars)= $271,059

Solve the proportions. Can you please solve this one problem for me it may not be too hard for you.

Answers

The answer to the question is x=8

Answer: its 18, x=18

The temperature on a cold winter day in Minnesota was-6. Which of the following situation
could explain how the temperature became -6? Select ALL that apply.*
(20 Points)
In the morning, the temperature was -2 degrees. Then, the temperature fell 4 degrees.
The temperature decreased by 4 degrees from a high of 2 degrees earlier in the day.
The temperature was 12 degrees. This temperature fell by 6 degrees as it got dark out.
At 9 a.m., the temperature was -11 degrees. By noon, the temperature had dropped 5 degrees.
At night the temperature was - 1 degree. Then, the temperature fell by 5 degrees during the next day.
The temperature was 15 degrees on Tuesday. A cold front dropped the temperature by 21 degrees at
night.

Answers

Answer:

1st,2nd,5th,6th

Step-by-step explanation:

Luke drove 260 miles in 4 hours. If he continued at the same rate how far would he travel in 18 hours?

Answers

Answer:

(260/4)*18 = 1,170 miles

Step-by-step explanation:

During a trip Sara knits a scarf at the rate of 469 millimetre everyday if her trip lasts 8 days how much of the scar will she have knitted by the end of the trip

Answers

Answer:

3752mm or 3752 millimeter

Step-by-step explanation:

We are told in the question that Sara knits 469 mm everyday.

Hence, this can be expressed as:

1 day, she knits = 469 mm

8 days =

Cross Multiply

469mm × 8

= 3752mm

Therefore the amount of scarft she would have knitted after 8 days = 3752mm

The cable is 10 feet above the roadway at horizontal distances of about from the left support.

Answers

Answer:21ft and 79ft

Step-by-step explanation:

Answer:

21 and 79 ft

Step-by-step explanation:

the equation of a and 8 number​

Answers

Answer:

8

Step-by-step explanation:

This is because the expression is already in decimal form

1) Which equations are from the 2nd degree? *

Answers

Answer:

Step-by-step explanation:

A 2nd-degree polynomial is one whose highest degree'd term is a 2. a has an x-squared as its highest power, so it is a second degree; b also has an x-squared as its highest power, so it is a second degree; e, the same; f, the samel; g, the same.

X +6= 10 what does x =​

Answers

Answer:

x = 4

Step-by-step explanation:

[tex]x + 6 = 10 \\ x = 10 - 6 \\ x = 4[/tex]

Simplify
45
125
Solve this

Answers

Answer:

9/25

Step-by-step explanation:

I guess you mean 45/125

they are divisible by 5

45/5 = 9

125/5 =25

9/25

Match each table showing a proportional relationship between x and y with its constant of proportionality.

Answers

Answer:

Step-by-step explanation:

Just divide y by x and what ever you get is the answer

Hope this helps!

Answer:

The first one (1-4, 2-8, 3-12) belongs to 4

The second one (2-4, 4-8, 6-12) belongs to 2

The third one (4-6, 8-12, 12-18) belongs to 3/2

The last one (1-6, 2-12, 3-18) belongs to 6

Step-by-step explanation:

I divided the y numbers from the x

(2x-7)^2=64 solve for x

Answers

(2x-7)^2=64
2x-7= √64
2x-7= ±8
1) 2x-7=8 2) 2x-7=-8

1) 2x=8+7
2x=15
X=15/2

2)2x-7=-8
2x=-8+7
2x=-1
X= -1/2

Find the value of x and y (3y+5) (2x+1) 85
A x= 42 y=26.3
B x=47 y=30
C x= 42 y=30
D x=47 y= 26.3

Answers

Answer:

Step-by-step explanation:

I think the answer C x=42 y=30, correct me if i'm wrong

i’ve gotten 4 different answers for this so if someone can help me that would be amazing

Answers

Simplifying the top:

(2* a^3 * b^5)^2 * (6ab)

4* a^6 *b^10 * (6ab)

24 *a^7 * b^11

so we have

(24 *a^7 * b^11) / (-3* a^5 *b)

immediately we can simplify 24 and -3

(-8 *a^7 * b^11) / ( a^5 *b)

a^7 and a^5 can cancel into just a^2

(-8 *a^2 * b^11) / (b)

b^11 and b cancels to b^10

-8 *a^2 * b^10

so that is your answer:

-8[tex]a^{2}[/tex][tex]b^{10}[/tex]

evaluate
x
— + 6(x-12) when x=12
4

Answers

Answer:

3

Step-by-step explanation:

x=12

12/4 + 6(12-12)

12/4 +6(0)

12/4 + 0

3+0

3

Simplify the following: [tex]\frac{-1(-8x - 16)}{-2 -x} = \frac{-1(-16-8x)}{-2 -x}[/tex]

Answers

they both came out as =-8

what is the answer to this equation 5r+2<17

Answers

Answer:

r < 3

Step-by-step explanation:

Step 1: Write out inequality

5r + 2 < 17

Step 2: Subtract 2 on both sides

5r + 2 - 2 < 17 - 2

5r < 15

Step 3: Divide both sides by 5

5r/5 < 15/5

r < 3

In this case, r has to be smaller than 3. So anything like -2, -15, or even -12413573875942 works as r, as long as it's smaller than 3.

y+6x=11; x = -2,0, 4
Solve the equation for y.

Answers

Answer:

23, 11, -13

Step-by-step explanation:

y+6(-2)=11

y-12=11

y=23

y+6(0)=11

y+0=11

y=11

y+6(4)=11

y+24=11

y=-13

45 is the correct answer because I dropped out of school

Aaron’s age is three years less than Devon‘s age the sum of their ages is 31 find each of their ages

Answers

Answer:

Aaron 14 years

Devon 17 years

Step-by-step explanation:

D = A + 3

D + A = 31

replace D

A + 3 + A = 31

2A = 31 - 3

2A = 28

A = 14 years

D = 17 years

3 + 5x = 3x - 9 =? help, please

Answers

Answer:

it looks like you are trying to find x in this problem so x= -6

Answer:

Step-by-step explanation:

3 + 5x = 3x -9

-3  -3x   -3x  -3

2x = -12

2x/2 -12/2

X=     -6

Why is the equation y = 5x - 10 not proportional?

Answers

Answer:

x=2

Step-by-step explanation:

to find x- intercept substitute y=0

move variable to the left hand side and change its sign -5x=-10

then divide both sides of the equation by -5

and the final answer is x=2

hope this helps!

Jim and Lynn were asked to find the coordinates of the midpoint of the segment whose endpoints are R (−15, −8) and S (−5, −2). Jim used point S as ( x 1 , y 1 ). Lynn said he had to use point R as ( x1 , y 1 ). Who is correct? Explain.

Answers

Answer:

Both Jim and Lynn, as midpoint formula observes commutative property, which commutes the position of each endpoint inside the sum without altering the result.

Step-by-step explanation:

We must remember that location of midpoint of any line segment can be determined by using this formula in function of the endpoint locations:

[tex](x_{M},y_{M}) = \left(\frac{x_{R}+x_{S}}{2}, \frac{y_{R}+y_{S}}{2} \right)[/tex]

Where:

[tex]x_{M}[/tex], [tex]y_{M}[/tex] - Location of midpoint, dimensionless.

[tex]x_{R}[/tex], [tex]y_{R}[/tex] - Location of endpoint R, dimensionless.

[tex]x_{S}[/tex], [tex]y_{S}[/tex] - Location of endpoint S, dimensionless.

Both Jim and Lynn, as midpoint formula observes commutative property, which commutes the position of each endpoint inside the sum without altering the result. That is:

[tex](x_{M},y_{M}) = \left(\frac{x_{R}+x_{S}}{2}, \frac{y_{R}+y_{S}}{2} \right) = \left(\frac{x_{S}+x_{R}}{2}, \frac{y_{S}+y_{R}}{2} \right)[/tex]

1=x+15 so I’m stuck on this

Answers

Answer:

-14

Step-by-step explanation:

You were wrong the answer was -6, -2,2,6

Answers

Answer:

ummm

Step-by-step explanation:

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