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

Which statement is true?
A) ST ≅ RV
B) VU ≅ ST
C) SR ≅ TU
D) ST ≅ UT

Answers

D. Angle ST is congruent to angle TU. Both make 134

Answer:

D

Step-by-step explanation:

Trust me, i took the test.

is 0.83 equal to 83/100

Answers

Answer:

Yes.

Step-by-step explanation:

83/100=0.83 : )

Answer:

Yes

Step-by-step explanation:

0.83 means that it's out of 100, if it was 1.0 that means that it would be 100, a full number.

83/100 means that it's out of 100 as well. If it were to be a whole number it would be 100/100

Help please, its due at 9:00 PM!

Answers

just look at the measurements

HELP ASAP!! WILL MARK BRAINLIEST!

Question 8 Multiple Choice Worth 5 points)
(03.04 MC)
Solve for x:

(-4/3) x -6 = 26

Answers

Answer:

X = -24

Step-by-step explanation:

Using the inverse:

26 + 6 = 32

x = 32 / (-4/3) = -24

complete the square, please show work x^2+12x=13

Answers

Answer:

[tex]x = 1 \: or \: x = - 13[/tex]

Step-by-step explanation:

[tex]x^2+12x=13 \\ x^2+12x - 13=0 \\ x^2+13x - x - 13=0 \\ x(x + 13) - 1(x + 13) = 0 \\ (x - 1)(x + 13) = 0 \\ x = 1 \: or \: x = - 13[/tex]

help me pleeeaseeee​

Answers

Answer:

-2

Step-by-step explanation:

Which of the following points are the solutions to the equation 3 x - 4 y - 8 = 1 2

Answers

This is all i can help you

<3

Red

Ordena, de menor a mayor, las siguientes
medidas de masa.
11.6 mg, 1021 ug, 0.6 cg, 0.31 mg

Quien me puede ayudar

Answers

1021 hope this helps

Carter wants to know how often his classmates go to amusement parks. He asks the following question: “Did you go to an amusement park this summer?”
Is his question a statistical question? Explain why or why not.

Answers

Answer:

No, it is not

Step-by-step explanation:

This is not a statistical question because there is no need to apply any sort of math. This is a question that can easily be answered with a yes or no.

Answer:

Sample Response: No. A statistical question addresses difference in a population and offers a variety of responses. Carter’s question would yield only yes or no responses.

A gardener planted flowers of different colors.
of the flowers are yellow
The gardener planted 119 purple flowers. How many flowers did the
gardener plant?
of the remaining flowers are green.
• The rest of the flowers are purple. HELP FAST IM AWARDING BRAINLYEST

Answers

Question:

A gardener planted flowers of different colors.

3/10 of the flowers are yellow.

3/4 of the remaining flowers are green.

The rest of the flowers are purple.

The gardener planted 119 purple flowers, how many flowers did the gardener plant?

Answer:

[tex]Total = 680[/tex]

Step-by-step explanation:

Represent Yellow with Y, Green with G and Purple with P

[tex]Y = \frac{3}{10}[/tex]

First, we need to determine the fraction of the rest.

[tex]Yellow + The\ Rest = 1[/tex] ---- In terms of fraction

[tex]The\ Rest = 1 - Yellow[/tex]

[tex]The\ Rest = 1 - \frac{3}{10}[/tex]

[tex]The\ Rest = \frac{10 - 3}{10}[/tex]

[tex]The\ Rest = \frac{7}{10}[/tex]

We have that:

[tex]G = \frac{3}{4} * The\ Rest[/tex]

[tex]G = \frac{3}{4} * \frac{7}{10}[/tex]

[tex]G = \frac{21}{40}[/tex]

To solve for the fraction of Purple, we make use of:

[tex]Y + G + P = 1[/tex]

[tex]P = 1 - Y - G[/tex]

Recall that: [tex]Y = \frac{3}{10}[/tex] and [tex]G = \frac{21}{40}[/tex]

So:

[tex]P = 1 - \frac{3}{10} - \frac{21}{40}[/tex]

[tex]P = \frac{40 - 12 - 21}{40}[/tex]

[tex]P = \frac{7}{40}[/tex]

At this point, we have the fraction of each flower as:

[tex]Y = \frac{3}{10}[/tex]

[tex]G = \frac{21}{40}[/tex]

[tex]P = \frac{7}{40}[/tex]

Also, we have that:

[tex]P = 119[/tex]

The relationship between both values of P is:

[tex]\frac{7}{40} * Total = 119[/tex]

[tex]Total = 119 * \frac{40}{7}[/tex]

[tex]Total = \frac{119 * 40}{7}[/tex]

[tex]Total = \frac{4760}{7}[/tex]

[tex]Total = 680[/tex]

If f(x) = 7x, which of the following is the inverse of f(x)?
O A. f'(X) = x + 7
B. f1(x) = x - 7
O c. f'(x)
O d. f'(X) = 7x
SUBMIT

Answers

Answer:

x/7

Step-by-step explanatio

help please i need answer i will like you and try to answer to your last quashen pls help​

Answers

Answer:

Ok the so the answer is 103.075

Step-by-step explanation:

So how you do this divided the tax rate by 100 which gives you 0.085 and then you times that by 95 and you get 8.075 which you add to 95 to get 103.075

PLEASE HEART

What is the square root of -1?
-i
i
-1
1

Answers

Answer:

the square root of -1 is i

Step-by-step explanation:

Well, actually, the square root of -1 (or any negative number at that) is not a real number. What I mean by that is that there is no way to square a real number to get a negative number (ie [tex]2^{2} = 4, -2^{2} =4[/tex], there is no way to square a real number to get -4).

To solve this, mathematicians came up with the "imaginary number" i which, when squared, equals to -1. This allows us to get the square root of negative numbers ([tex]\sqrt{-4} = 2i[/tex]) or get negative numbers through squaring ([tex]2i^{2} = -4[/tex]).

The required value of the square root of -1 is i. The correct answer is option B.

As we know that complex number is made up of real and imaginary values. It is represented by the equation z = a + ib, where a, b, and i are real values and i is an imaginary number.

The square root of -1 is denoted as "i" in mathematics, where "i" represents the imaginary unit.

The imaginary unit is defined as the square root of -1. It is important to note that the square root of a negative number is not a real number, but an imaginary number.

⇒ √(-1)

⇒ √(i²)

⇒ i

So, the correct answer is "i."

Learn more about complex numbers here:

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Name an equivalent ratio for One-half with a denominator of 8.
a. 4 Over 8
c. 5 Over 8
b. 1 Over 8
d. 3 Over 8

Answers

Answer:

it is A

Step-by-step explanation:

13-4x=1-x Please help 20 POINTS

Answers

Answer:

x will equal to 4

x = 4

13-4x=1-x
+x = -13
3x = 12

2 divided by 4/5 whats the answer to this problem anyone?

Answers

Answer: 2.5

Step-by-step explanation:

Answer:

2 1/2

Step-by-step explanation:

Do keep change flip. Make 2 an improper fraction by making it 2/1. Change the division symbol to a multiplication symbol. Flip 4/5 to 5/4. The equation you should have is 2/1x5/4.  2x5=10 1x4=4. the fraction you should have is 10/4. 10 divided by 4 =2.5. the fraction you should have now is 2 2/4. Simplify 2 2/4 to 2 1/2.

Angie painted 1/20 of a fence in 1/2 an hour. How long will it take Angie to paint one fence

Answers

Answer: 30 minute

Step-by-step explanation:60 diviser par 2

Answer:24 hours

Step-by-step explanation: because 1/2 times 20 will give you 24

Write the inequality given below.

Eight less than 2 times a number is more than 12. ​

Answers

Answer:

Step-by-step explanation:

8-2x>12

will be nice if you give me brainlies.Good luck!

what is the quotient of 4/5 divided by 1/3 2 and -----------

Answers

Answer:

2 2/5

Step-by-step explanation:

i just googled this srry

Answer:

2 2/5

Step-by-step explanation:

5 + k – 5k = -4k + 6 0

Answers

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5+k−5k=−4k+60

5+k+−5k=−4k+60

(k+−5k)+(5)=−4k+60(Combine Like Terms)

−4k+5=−4k+60

−4k+5=−4k+60

Step 2: Add 4k to both sides.

−4k+5+4k=−4k+60+4k

Ernie worked at his job on Saturday and Sunday last weekend, earning $14 per hour. His
sister, Perla, also worked on the weekend and earned a total of $126.
If Ernie and Perla earned the same amount of money at their jobs last weekend, how many
hours did Ernie work?

Answers

Answer:

9 hours

Step-by-step explanation:

126 divided by 14 = 9

You can check your answer by 9 times 14 which would give you 126.

Please answer this (Middle school math)

Answers

Answer:

the first one

Step-by-step explanation: what school you go too

3. What is the value of x?
(8x -- 8)
(7x - 8)

A -16
B. 120
C. 60
D. 16

Answers

Answer:

16

Step-by-step explanation:

took test

4 groups of ___ tenths is 1.6

Answers

Given:

4 groups of ___ tenths is 1.6.

To find:

The value for the blank.

Solution:

Let the unknown value be x.

4 groups of x tenths is 1.6.

[tex]4x=1.6[/tex]

Divide both sides by 4.

[tex]\dfrac{4x}{4}=\dfrac{1.6}{4}[/tex]

[tex]x=0.4[/tex]

So, 4 groups of 0.4 tenths is 1.6.

Therefore, the required answer for the blank is 0.4.

Help ASAP , 15 points and a brainy.

Answers

Answer:

B

Step-by-step explanation:

Answer:

I think the answer is B. It slopes downward from left to right.

Based on experience, Farmer Fern knows that 15% of her eggs will be damaged in
route to the stores. In a sample of 100 eggs, what is the probability that less than
13% will be damaged?

Answers

Answer: 0.2877

Step-by-step explanation:

Given : The proportion of eggs will be damaged in route to the stores = 15% = 0.15

Sample size = 100

Let p be the probability of her eggs will be damaged.

The probability that less than 13% will be damaged is given by :-

[tex]P(p<0.13)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}<\dfrac{0.13-0.15}{\sqrt{\dfrac{0.15\times(1-0.15)}{100}}})[/tex]

[tex]=P(z<-0.56)[/tex]

[tex]=1-P(z<0.56)\\\\= 1-0.7123\\\\= 0.2877[/tex]

Hence, the required probability = 0.2877

90 times 10 the power of 4

Answers

Answer:

90000

Step-by-step explanation:

University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some students get a Bachelor of Arts and Science degree, which requires meeting graduation criteria for both degrees. A student advisor needs to know the probability a newly admitted student is interested in such a program, so that the student can be properly advised. A study of previous years finds that the probability a student gets a Bachelor of Science degree is P(Science)=0.3 and the probability a student gets a Bachelor of Arts degree is P(Arts)=0.6 . The study also shows that the probability a student gets no degree is P(no)=0.2 .
A - The probability a student gets a Bachelor of Arts and Science degree is:
a) 0.3.
b) 0.6.
c) 0.1.
d) 0.2.
B - The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is:
a) 0.9.
b) 0.3.
c) 0.6.
d) 0.8.
C - The probability a student gets only a Bachelor of Arts degree is:
a) 0.1.
b) 0.5.
c) 0.3.
d) 0.6.
D - The probability a student gets a Bachelor of Arts and Science degree is:
a) 0.5.
b) 0.1.
c) 0.3.
d) 0.2.
E - If getting a Bachelor of Science degree is independent of getting a Bachelor of Arts degree, the probability of getting a Bachelor of Arts and Science degree is:
a) None of the answer options are correct.
b) 0.18.
c) 0.1.
d) 0.2.

Answers

Answer:

(A) c) 0.1

(B) a) 0.9

(C) b) 0.5

(D) b) 0.1

(E)  b) 0.18

Step-by-step explanation:

Given;

P(science) = 0.3

P(Arts) = 0.6

P(no degree) = 0.2

(A) The probability a student gets a Bachelor of Arts and Science degree;

= 1 - [P(science) + P(Arts)]

= 1 - (0.6 + 0.3)

= 1 - 0.9

= 0.1

(B) The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is

= P(Science) + P(Arts)

= 0.3 + 0.6

= 0.9

(C) The probability a student gets only a Bachelor of Arts degree is

= P(Arts ) - P(Science and Arts)

= 0.6 - 0.1

= 0.5

(D) The probability a student gets a Bachelor of Arts and Science degree is:

1 - [P(science) + P(Arts)]

= 1 - (0.6 + 0.3)

= 1 - 0.9

= 0.1

(E) Independent case

= P(Science) and P(Arts)

= 0.3 x 0.6

= 0.18

4. Escribe
5. Escribe la ecuación 3x + 4y - 20 = 0 en su forma simétrica.
62

Answers

Answer:

which principle prevents a brach from abusing  its power

Step-by-step explanation:

Complete this sentence: The shortest side of a triangle is always opposite the _____
A. second-longest side
B. longest side
C. angle with the smallest measure
D. angle with the greatest measure

Answers

By answering the above question, we may state that  angle with the smallest measure, the smallest-measured angle

what are angles?

An angle is a form in Euclidean geometry made composed of two rays, referred to as the angle's sides, that converge at a centre point known as the angle's vertex. In the plane where they are positioned, two rays may come together to make an angle. A planar collision produces an angle as well. Dihedral angles are what these are known as. A potential arrangement of two rays or lines that share a termination is called an angle in plane geometry. The Latin word "angulus," which means "horn," is where the English word "angle" originates. The intersection of the two rays, often referred to as the angles' sides, is known as the vertex.

angle with the smallest measure

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