The midpoint of a line segment is (−3,2). One endpoint of the line segment is (4,−7).

What are the coordinates of the other endpoint of the line segment?

Answers

Answer 1

Answer:

The other endpoint is  (9, −6)

Step-by-step explanation:

(x1,y1)=(3,2) and M=(6,−2)

x1+x22=x     and     y1+y22=y

3+x22=6     and     2+y22=−2     ←×2

3+x2=12     and     2+y2=−4

x2=9              and     y2=−6

Answer 2

The coordinates of the other endpoint of the line segment are [tex]Y(x,y) = (-10, 11)[/tex].

Vectorially speaking, the midpoint of a line segment is determined by the following expression:

[tex]M(x,y) = \frac{1}{2}\cdot X(x,y) + \frac{1}{2}\cdot Y(x,y)[/tex] (1)

Where:

[tex]M(x,y)[/tex] - Midpoint.[tex]X(x,y)[/tex], [tex]Y(x,y)[/tex] - Endpoints of the line segment.

If we know that [tex]M(x,y) = (-3, 2)[/tex] and [tex]X(x,y) = (4, -7)[/tex], then the coordinates of the other endpoint is:

[tex]\frac{1}{2}\cdot Y(x,y) = M(x,y) -\frac{1}{2}\cdot X(x,y)[/tex]

[tex]Y(x,y) = 2\cdot M(x,y) -X(x,y)[/tex]

[tex]Y(x,y) = 2\cdot (-3,2)-(4,-7)[/tex]

[tex]Y(x,y) = (-6, 4) - (4, -7)[/tex]

[tex]Y(x,y) = (-10, 11)[/tex]

The coordinates of the other endpoint of the line segment are [tex]Y(x,y) = (-10, 11)[/tex].

We kindly invite to check this question on midpoints: https://brainly.com/question/17506315


Related Questions

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Answers

Answer:

Step-by-step explanation:

two angles are said to be supplementary if their sum is 180 degrees

Hence <1 + <2 = 180

Given

<1 = 28

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Participation Quiz 10-23-2020 NEED HELP PLZZZZZ!!!!

Question 1 options:
m∠A = _____˚

m∠B = _____˚

m∠C = _____˚

m∠X = _____˚

m∠Y = _____˚

m∠Z = _____˚

Segment AB = _____ units

Segment BC = _____ units

Segment AC = _____ units

Segment XY = _____ units

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Answers

Answer:

angle A is 53°

angle B is 90°

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angle X is 53°

angle Y is 90°

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Answers

Answer:

Since 1 quart is 2 pints, there are 10 pints in 20 quarts.

Step-by-step explanation:

Answer:

There are 10 quarts in 20 pints

Step-by-step explanation:

1 pint is equal to 0.5 quarts, So if you multiply 0.5 by 20, you get 10.

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Answers

Answer:

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Step-by-step explanation:

y2-y1/x2-x1+ slope form

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Answer:

for 14).....ans: 0.01

Step-by-step explanation:

convert to a fraction,then convert to a decimal by dividing the numerator by the denominator.

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Answers

Answer:

50 8/63

Step-by-step explanation:

10*5=50

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2*4=8

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Answers

Answer:

the warmest is wilmington

Step-by-step explanation:

it's 0 degrees and the other ones are lower so i mean it's common sense positives are greater than negatives

Answer:

Wilmington

Step-by-step explanation:

All the others are negative, but Wilmington is zero degrees which is non negative.


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Answers

Answer:

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Step-by-step explanation:

The answer is given in the word problem.

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Answer:

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Step-by-step explanation:

(0,0) shows that the cost is 0 when the weight is 0,

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

16 regions                    

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Nash is training for a marathon and decides to train for 26 miles every week. In the first week, the ratio of the number of miles he ran to the number of miles he walked was 3:10. Use Scratchpad to draw tape diagrams to represent this ratio. How many miles did Nash run in week 11?

Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

The constant of proportionality between d and h is 3.75

Step-by-step explanation:

The direct proportionality function is called any function in which the dependent variable (y) is obtained by multiplying the independent (x) by a constant value. This type of function is more commonly called a linear function and has an expression of the form:

y=m*x

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You know that Bethany uses the equation d=3.75*h to find the distance, d, she travels while walking for h number of hours.  Comparing with the direct proportionality function y = m * x, then y is represented by the distance d, x is represented by the number of hours h and the constant of proportionality or slope m is the number 3.75.

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Answers

Answer:Total units would be: 3+4 = 7. value of 1 unit = 28/7 = 4. ratio would be 3(4) & 4(4) = 12 & 16

Step-by-step explanation:

Michael saw a pair of jeans that he really wants to buy. The price of the jeans is $25.60. He saw that they go on sale for weekend and will be 15% off. How much will he save?​

Answers

Answer:

$21.76

Step-by-step explanation:

15% of $25.60= $3.84

$25.60-$3.84= $21.76

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Answers

Google helps to so try that

Online concerts tickets cost 37$ each, plus a service charge of 8.50$ per ticket. The web site also charges a transaction fee of 14.99$ for the purchase. You paid 242.49$. How many tickets did you buy?

Answers

5 tickets I’m pretty sure

Answer:

5 tickets

Step-by-step explanation:

45.50t + 14.99 = 242.49

          -14.99      -14.99

           45.50t = 227.5

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Answers

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Answers

Answer:

Since it is a to-scale model,

the ratio of the wingspan to the length of both the airplanes must be equal

wingspan1 = 200 ft               wingspan2 = 30 cm

length1 = 240 ft                     length2 = x cm

wingspan1 / length1 = wingspan2/length2

replacing the variables

200 / 240 = 30 / x

x = 30 * 240/200

x = 36 cm

Therefore, the length of Emma's airplane is 36 cm

Answer:

Step-by-step explanation:

Learning Task 4. Solve the problem. Estimate the total amount. Mr. Cruz's monthly
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Food: P 22, 450.89
Recreation: P5, 676.63
Clothes: P 15,670.25
Transportation: P 10,067.15​

Answers

Step-by-step explanation:

Answer: 21,135.08

Step-by-step explanation: because

22,450.89+5,676.63+15 ,670.25+10,067.15=53,864.92

so now 75,000 - 53,864.92 = 21,135.08 that's it

que es suma y resta de fracciones homogeneas

Answers

Answer:

responder

Step-by-step explanation:

Para sumar y restar fracciones, sus denominadores deben ser iguales. Por tanto, sumar o restar fracciones homogéneas es más fácil, dado que ya tienen el mismo denominador.

Answer:

Recuerda que cuando se suman fracciones homogéneas se hace lo mismo que cuando se suman objetos del mismo tipo. Por ejemplo, la suma tres décimos más dos décimos da como resultado cinco décimos: , por la misma razón que sumar tres vacas más dos vacas da como resultado cinco vacas.

Step-by-step explanation:

I don’t under this .

Answers

Answer:

The answer is QR,RS, and ST

Step-by-step explanation:

i hope this helps .

Answer:QR,RS and ST
Explanation:

Evaluate - (2-6)(23).
O A. 8
O B.
1
8
Oc.
1
8
D. -8

Answers

Answer:

-92.

Step-by-step explanation:

2 - 6 is -4.

-4 x 23 is -92.

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