The midpoint of segment AB has the coordinates M(-4,2). If the coordinates of endpoint A are (-6, -7), find the coordinates of endpoint B.​

Answers

Answer 1

Given:

The midpoint of segment AB has the coordinates M(-4,2).

The coordinates of endpoint A are (-6, -7).

To find:

The coordinates of B.

Solution:

Let the coordinates of point B are (a,b).

Formula for midpoint:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

The midpoint of segment AB has the coordinates M(-4,2), so by using the above formula we get

[tex]M=\left(\dfrac{-6+a}{2},\dfrac{-7+b}{2}\right)[/tex]

[tex](-4,2)=\left(\dfrac{-6+a}{2},\dfrac{-7+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{-6+a}{2}=-4[/tex]

[tex]-6+a=-8[/tex]

[tex]a=-8+6[/tex]

[tex]a=-2[/tex]

And,

[tex]\dfrac{-7+b}{2}=2[/tex]

[tex]-7+b=4[/tex]

[tex]b=4+7[/tex]

[tex]b=11[/tex]

Therefore, the coordinates of point B are (-2,11).


Related Questions

Solve x2 + 2x + 7 = 0 using the Quadratic Formula

Answers

X=-1+ i\6 thats that plus minus sign
-

The roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.

what is Quadratic Equation?

A quadratic equation is of the form ax² + bx + c = 0 , which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.

Given:

x² + 2x + 7 = 0

now, using Discriminant Method

D= √b² - 4ac

D= √4- 4(1)(7)

D= √-24

D= 2i√6

Now, x= -b± D/2a

x= -2 ± 2i√6/2

x= -2 + 2i√6/2  or x= -2 - 2i√6/2

x= -1 + i√6 or x= -1 - i√6/2

Hence, the roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.

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4) On a 75-question multiple choice test, Niran answered 64 questions correctly. What was his percentage score?

Answers

I believe that his percentage was 85%

A supervisor records the repair cost for 14 randomly selected refrigerators. A sample mean of $79.20 and standard deviation of $10.41 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the mean repair cost for the refrigerators. Assume the population is approximately normal.

Answers

It’s will be 90.13$ I think I’m not sure): happy thanksgivings ): byeeee

Translate this phrase into an algebraic expression.
7 more than twice Jose's height
Use the variable ; to represent Jose's height.

Answers

Answer:

2x+7

Step-by-step explanation:

Let's mark Jose's height with x. Of course, you can use any other letter or symbol.

We now need to express another value through this x. That other value we can mark with y.

This y is said to be 7 more then twice Jose's height. Jose's height is x, as we've already said, so:

y = 7 + 2•x (seven more than twice x)

That means that y = 2x+7.

Please I need help thank you

Answers

40 students because you already divided it and it’s estimated

Answer:

its 40

Step-by-step explanation:

You've already divided 320 and 8 and you get 40

1
y
X
E
21
Which equation matches the graph?
OA. y = kx + 4
OB. y = 3.5 - 4
Oc. y = ks - 4

Answers

Answer:

B. [tex] y = 3x - 4 [/tex]

Step-by-step explanation:

First, using two points (0, -4) and (3, 5), find slope:

[tex]  m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 -(-4)}{3 - 0} = \frac{9}{3} = 3 [/tex]

Slope, m = 3

Next, determine the y-intercept, b.

The y-intercept is the value of y when x = 0. It is the point where the line intercepts the y-axis.

From the graph given, y-intercept, b, is -4.

Substitute b = -4 and m = 3 into [tex] y = mx + b [/tex].

The equation would be:

✔️[tex] y = 3x - 4 [/tex]

Each drink cost d dollars. Each snack cost s dollars. The Blake family buys 3 drinks and 2 snacks for $12. The reese family buys 2 drinks and 4 snacks for $16. What is the cost of one drink at the concession stand?

Answers

total cost for the blake family :
3d + 2s = 12 — (1)
total cost for the reese family :
2d + 4s = 16 — (2)

multiply equation 1 by 2 so that we can cancel out s later :
(1) x 2 : 2(3d+2s)=2(12)
6d+4s = 24 — (3)

using simultaneous equations,
(3) - (2)
(6d+4s) - (2d+4s) = 24-16
6d-2d+4s-4s = 8
4d = 8
d = 2

the cost of one drink is $2.

total cost for the blake family :

3d + 2s = 12 — (1)

total cost for the reese family :

2d + 4s = 16 — (2)

multiply equation 1 by 2 so that we can cancel out s later :

(1) x 2 : 2(3d+2s)=2(12)

6d+4s = 24 — (3)

using simultaneous equations,

(3) - (2)

(6d+4s) - (2d+4s) = 24-16

6d-2d+4s-4s = 8

4d = 8

d = 2

the cost of one drink is $2.

which statement best describes the range of f(x)=-2

Answers

The range is -2,infinite

1. What is the value of w?
(1 point)
w
30°
n
73
07
O 3.5
073
O 14
E

Answers

Answer:

17=.y+1. 0.14

Step-by-step explanation:

How to silver (10 points)

Answers

Answer:

there

Step-by-step explanation:

10.

TP = 20-12

TP = 8

SP = SQ

SP = 20

RQ = TP

RQ = 8

S-------15.5

20------12

12s = 310

s = 310/12

s =~25,8

11.

75--------46

100-------b

75b = 4600

b = 4600/75

b =~ 61,3

l² = 61,3² + 46²

l² = 3757,69 + 2116

l² = 5873,69

l = [tex]\sqrt{5873,69}[/tex]

l =~ 76,7

A statistic is a characteristic of a sample while a parameter is usually an unknown population parameter?
True

False

Answers

This should be Correct-Answer:

True

Explanation:

A statistic is a characteristic of a sample, a portion of the target population. A parameter is a fixed, unknown numerical value, while the statistic is a known number and a variable which depends on the portion of the population.

Parameter Definition: a quantity or statistical measure that, for a given population, is fixed and that is used as the value of a variable in some general distribution or frequency function to make it descriptive of that.

Population: The mean and variance of a population are population parameters.

Statistic Definiton: A statistic or sample statistic is any quantity computed from values in a sample that is used for a statistical purpose. Statistical purposes include estimating a population parameter, describing a sample, or evaluating a hypothesis. The average of sample values is a statistic.

The answer is: true

Hope this helps! Happy holidays;)

i don't really understand this problem​

Answers

Complementary angles add up to 90 (there should be a right angle in the diagram)

x+20+x+10 needs to equal 90 where x=30

Left angle is measured 30+20=50 degrees

Angle on the right is measured 30+10=40 degrees

(HELP QUICK) You are most likely to encounter an irrational number when you’re
A budgeting with money.
B finding the area of a circle.
C finding the area of squares.
D buying food that has a cost per pound.

Answers

Answer:

B; finding the area of a circle

Step-by-step explanation:

You are most likely to encounter an irrational

number when you are finding the area of a circle

The reason is because, to find the area of a circle, we need the number pi

Mathematically as we all know, the number pi is a very popular irrational number

Since we cannot find the area of a circle without it, then we can conclude that we are most likely to come in contact with an irrational number when we find the area of a circle

Write the expression represented by the following:
The quotient of a number and 7, increased by 5

Answers

Answer:

x (divistion symbol) 7 + 5

Step-by-step explanation:


PQR is a right-angled triangle.
Work out the size of angle PQR.
Give your answer correct to 1 decimal place.
Total marks: 3​

Answers

Answer:

67.4

Step-by-step explanation:

In picture listed above.

Brainliest Appreciated.

The measure of the angle PQR will be 67.4 degree.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Sides of a triangle are 13 cm , 5 cm, and 12 cm.

And, The angle PRQ = 90 degree.

Now,

Find the measure of angle PQR as;

The triangle PQR is a right triangle and PQ = 13 cm and PR = 12 cm.

Let measure of an angle PQR = θ

So, We can formulate;

sinθ = PR/PQ

sinθ = 12/13

θ = 67.4 degree.

Thus, The measure of the angle PQR will be 67.4 degree.

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Each big square below represents one whole,
What percent is represented by the shaded area?
%

Answers

The first square is 100% and the second square is 55% filled in

Yasir is saving up to buy a new phone. When he first decided to start saving, he had 25% of the cost already. After saving $90 more, he has 40% of the cost. Write and solve an equation to find ​c​, the cost of the phone.

Answers

I think you add subtract then find the domain and multiple it by the domain and add subtract and try to multiple it again

5 / 6 = x / 24 . What is the number for the letter x ?

Answers

Answer:

20

Step-by-step explanation:

5      X

6     24

6*4=24

so... 5*4=x

x=20

brainlisn’t please

Answer: 20

Step-by-step explanation:

Set up a proportion:

[tex]\frac{5}{6} = \frac{x}{24}[/tex]

Divide the larger denominator by the smaller one.

[tex]24[/tex] ÷ [tex]6 = 4[/tex]

Now, multiply 4 by the numerator we already have.

[tex]\frac{5}{y}[/tex] times [tex]\frac{4}{y}[/tex] = [tex]\frac{20}{y}[/tex]

Now, add the denominator back.

You get [tex]\frac{20}{24}[/tex]. Hope this helps you!

WILL MARK BRAINLIEST FOR FIRST RIGHT ANSWER!!! 15 POINTS!!

Answers

Answer:

third one

Step-by-step explanation:

A car-carrier trailer weighs 35,000 pounds when empty. The driver loads 7 cars on the trailer. The cars are identical except for color. The weight of the loaded trailer is 50,855 pounds. The maximum vehicle weight allowed on U.S. highways is 80,000 pounds. What number best describes the weight of one car?

Answers

Answer:

Each car weighs 2,265 pounds

Step-by-step explanation:

Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:

50,855 - 35,000 = X

15.855 = X

Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:

15.855 / 7 = X

2,265 = X

Therefore, each car weighs about 2,265 pounds.

Evaluate 13 + 6/y when y = 6

Answers

Answer: 14

Step-by-step explanation: According to PEMDAS you do division first so if y=6 then you do 6/6=1. Then add 13+1

Answer:

14

Step-by-step explanation:

13 + 6/y

13 + 6/(6)

13 + 1

14

Last year at a certain high school, 12 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 4 choices?

Answers

Answer:

495 different ways

Step-by-step explanation:

This question bothers on combination. Combination has to do with selection. When selecting r objects from a pool of n objects, this is expressed as;

nCr = n!/(n-r)!r!

For us to choose rank the first 4 choices from 12 students nominated, this can be done in 12C4 number of ways;

12C4 = 12!/(12-4)!4!

12C4 = 12!/8!4!

12C4 = 12*11*10*9*8!/8!*4*3*2

12C4 = 12*11*10*9/24

12C4 = 11880/24

12C4 = 495 ways

Hence this can be done in 495 different ways

HELP FAST !!!

Find the solution of the system of equations.
-8x + 7y = -2
- 8x + 8y = 8

Answers

-56x + 49y= -14

- 56x + 56y=64

105y=50

y=0.48

-8x+7(0.48)=-2

-8x+3.36=-2

-8x=-5.36

x=0.67

Answer:

(x, y) = (9, 10)

Step-by-step explanation:

-8x + 7y = -2...... (1)

- 8x + 8y = 8......(2)

Multiplying on both sides of the equations (1) & (2) by 8 and 7 respectively, we find:

-64x + 56y = - 16...(3)

-56x + 56y = 56.....(4)

Subtracting equation (4) from equation (3), we find:

-64x + 56y = - 16

-56x + 56y = 56

+ - -

_____________

- 8x = - 72

x = - 72/-8

x = 9

Substituting x = 9 in equation (1), we find:

-8(9) +7y = - 2

-72 +7y = - 2

7y = 72 - 2

7y = 70

y = 70/7

y = 10

(x, y) = (9, 10)

Coach McGee uses the table to show her team’s current basketball shot average compared to previous years.

2008
2009
2010
–5.8
4.4
StartFraction 37 Over 10 EndFraction
2011
2012
2013
3.6
4 and one-third
Negative 5 and three-fourths


Which comparison is true? Use the number line to help you.

A number line going from negative 6 to positive 6 in increments of 1.

Negative 5.8 > Negative 5 and three-fourths
3.6 4.4

Answers

Answer:

Its B.

Step-by-step explanation:

It said so.

Calculate the following speed Distance of 20 meters, time is 2 seconds.

Answers

Answer:

10 meters per sec

Step-by-step explanation:

Answer:

10 meters per seconds.

Step-by-step explanation:

x-3/18=12/9
what is the answer? It is proportions.

Answers

Answer:

x=3/2

Step-by-step explanation:

Answer:

x=[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

On the grid, draw the image of a shape R after the transformation represented by the matrix (0 -1
(1 0)

Answers

............ What!?!?!??

P and q are integers that are multiple of 5. Which of this

not true about p and q

(a) P + q is divisible by 5

(b) P –q is divisible by 10

(c) P + q is divisible by 20

(d) P + q is divisible by 25​

Answers

Answer:

we conclude that the only option (a) is true.

Step-by-step explanation:

As we know that the multiples of 5 are the numbers which we get when we multiply by 5.

i.e.

5×1=5

5×2=10

Here, 5 and 10 are multiples of 5.

Let p and q are integers that are multiples of 5.

Let us consider

p=5

q=10

so

p+q=5+10

     = 15

A number is divisible by 5 if it ends in 5 or 0.

i.e. 15/5 = 3

so p+q is divisible by 3 as there is no remainder left.

Therefore, option (a) is true.

Checking the other options:

(b) P –q is divisible by 10

As

p=5

q=10

so

p-q=5-10

     = -5

Numbers that are divisible by 10 need to be even or divisible by 2 and divisible by 5.

As -5 is not divisible by 2.

So, option b is NOT true.

(c) P +q is divisible by 20

As

p=5

q=10

so

p-q=5+10

     = 15

Divisibility rule of  20  implies that the last two digits of the number are either  00  or divisible by  20 .

Therefore, P + q= 20 is not divisible by 20 as we don't get the whole number.

(d) P + q is divisible by 25​

As

p=5

q=10

so

p-q=5+10

     = 15

p+q=15 is not divisible by 25 as it does not end with 00, 25, 50, or 75.

so, option d is NOT correct.

Therefore, we conclude that the only option (a) is true.

A bakery bakes 68 batches of 56 cupcakes each week. How many individual cupcakes do they make each week?

Answers

Answer:

3808

Step-by-step explanation:

2y/5-y/4=-3 what is the common denominator

Answers

Answer:

20

Step-by-step explanation:

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