Given M is the midpoint ABA. The coordinate of A are (-4,2) and the cordinates of M are (1,1). Find the coordinate of B. Choose (-2,4) (-2,0) (6,4) (6,0)

Answers

Answer 1

Answer:

The coordinate of B is (6,0)

Step-by-step explanation:

Given;

coordinate of A = (-4,2) = (x₁, y₁)

coordinate of M = (1,1)

let coordinate of B = (x₂, y₂)

Mid-point is given by;

[tex]M = \frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\M= (1,1)\\\\1,1 =\frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\ \frac{X_1 + X_2}{2} = 1 ----equation (1)\\\\\frac{Y_1 + Y_2}{2} = 1 -----equation(2)\\\\Solving \ equation(1)\\\\\frac{-4+ X_2}{2} = 1\\\\-4+ X_2 = 2\\\\X_2 = 2+4\\\\X_2 = 6\\\\Solving \ equation(2)\\\\\frac{Y_1 + Y_2}{2} = 1\\\\\frac{2+ Y_2}{2} = 1\\\\2+Y_2 = 2\\\\Y_2 = 2-2\\\\Y_2 = 0\\\\B = (X_2, \ Y_2)\\\\B = (6, \ 0)[/tex]

Therefore, the coordinate of B is (6,0)


Related Questions

I’m doing angle relationships and I have to find angle measurements and I have this problem it’s a right angle and it has a line coming from the inner corner and under the like it says it’s 68 degrees and the one on top is the measurement I’m trying to figure out help?

Answers

Right angles have a measure of 90 degrees
I’m assuming these two angles are complimentary (they add up to 90)

If one angle is 68, to find the other just subtract 68 from 90

90-68 = 22

The unknown angle is 22 degrees

Which problem is the same as 4 + 5

Answers

Answer:

6+3

Step-by-step explanation:

Two stores sell CDs in packages, as shown in the table below. CD Prices at Store A Number of CDs in Package 1 12 20 45 Cost $0.70 $8.40 ? $31.50 CD Prices at Store B Number of CDs in Package 1 20 30 65 Cost $0.60 ? $18.00 $39.00 If the rate at each store is constant, which statement correctly compares the cost of a package containing 20 CDs?

Answers

Answer:

IT'S A BELIEVE PLZZZZZZZz

Step-by-step explanation:

Answer:

The cost at Store A is $2.00 greater than at Store B.

Step-by-step explanation:

i had the same quiz this was correct

1
Pizza often comes in slices that are of a pizza each. Maria buys 36 slices for a birthday
8
party she is throwing,
(a) Represent the total amount of pizza that (b) Write your answer from (a) as a mixed
Maria is buying as a fraction. Do not number in simplest form. What does this
simply
answer tell you?

Answers

Answer:

Step-by-step explanation:

the pizza come in slices that are 1/8 each.

there are 36 slices, which means [tex]\frac{36}{288}[/tex].  so the simplest form is 1/8 as well. Maria bought 4 pizzas

The total amount of pizza Maria bought as a fraction is [tex]\frac{36}{4}[/tex] and  8 [tex]\frac{1}{2}[/tex] as a mixed number

Total amount bought = fraction of a slice x total slices bought

[tex]\frac{1}{4}[/tex] x 36  = [tex]\frac{36}{4}[/tex]

The above expression is an improper fraction

An improper fraction is a fraction in which the numerator is greater in value than the denominator

36 is greater than 4

A mixed number is a number that is made up  of a whole a whole number and a proper fraction.

To convert to an improper fraction to a mixed number:

Divide the numerator by the denominator. The whole number is written down The remainder is the numerator and the denominator in retained

[tex]\frac{36}{4}[/tex] = 8[tex]\frac{2}{4}[/tex]

When it is simplified it becomes 8 [tex]\frac{1}{2}[/tex]

To learn more about mixed fractions, please check: https://brainly.com/question/17767863?referrer=searchResults

The mass of a textbook is approximately 0.00165 metric ton. How is this number written in scientific notation?

Answers




1.65 x 10 exponent -3 for the 10

What is the y-intercept in this equation?
6x + 3y = 24

Answers

Answer: y=8-2x

Step-by-step explanation: Move all terms that don't contain y

to the right side and solve

Triangle Z is a scaled copy of Triangle M.

Select all the sets of values that could be the side lengths of Triangle Z.
a. 8, 11, and 14.
b. 10, 17.5, and 25.
C. 6, 9, and 11.
d. 6, 10.5, and 15.
e. 8, 14, and 20.

Answers

Answer:

D and E are correct

Step-by-step explanation:

Here, we want to select the set of values which could be the values of the sides of triangle z.

What we want here are sets of values which is a direct scale up value of the sets of values of triangle M:

We proceed as follows;

a. 8, 11 and 14.

This cannot be correct

Looking at the values of M, 4,7 and 10; We can see that while 4 and 7 are directly scaled up by factor 2 to give 8 and 14, by correspondence, 10 should be 20 and not 11 as in this case.

B. 10, 7.5 and 25

This cannot be correct too. Looking at the way 4 and 10

are scaled up by a value of 2.5; then the value of 7 should be scaled by 2.5 too, but 2.5 * 7 is not 7.5, so this cannot be correct

C. 6 , 9 and 11

This is not correct. In fact, we cannot identify a pattern between these numbers and their values before scaling up

D 6, 10.5 and 15

This looks correct. We can see that the values of triangle M if multiplied by 1.5 each can give these

4 * 1.5 = 6

7 * 1.5 = 10.5

and 10 * 1.5 = 15

e. 8, 14 and 20

Multiplying the sides of triangle M by 2, we can get these values.

4 * 2 = 8

7 * 2 = 14

and 10 * 2 = 20

The scale up value here is simply 2

Answer:

actually it's B, E, and D. At least that's what I got and it said it was correct.

Step-by-step explanation:

4 + 3 x 7 − 1 = 42 put brackets

Answers

Answer:

42

Step-by-step explanation:

(4 +3) ×(7-1) =

7 ×6 =

42

42 hope that helps :)

A dinner for 7 people costs $215. 75. Approximately how much will each person pay if they split the bill evenly?

Answers

Answer:$30.82

Step-by-step explanation:

215.75

You divide by 7 because there are 7 people

215.75 divided by 7

When translating a number to the scientific notion (ex: 0.000157), do you count the zero to the left of the decimal point? Like would the scientific notion of 0.000157 be 1.57 x 10^-4 ? If you could explain how scientific notion works that be great. thanks

Answers

Yeah, you’re right, I like to think that when the number is a decimal and I have to put it in scientific notation the exponent next to the 10 is negative and then when the number is a whole number and I have to change it to scientific notation then the exponent next to the ten is positive.

Answer:

You do not count the zero to the left of the decimal

Step-by-step explanation:

That zero is just a placeholder as there is nothing to the left of the decimal, you could also write the number as .000157

Your answer is correct, 0.000157 is 1.57x10^-4

Scientific notation is just expressing numbers in their exponential form. The power/exponent is found by counting how many times the decimal has moved to the right or the left.

Dariaun uses his credit card to buy a $3,000 laptop for college. The credit card
company charges him a simple interest rate of 18%.
How much does he owe the credit card company after six months?

Answers

Answer:

$3,270

Step-by-step explanation:

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 18%/100 = 0.18 per year.

Putting time into years for simplicity,

6 months / 12 months/year = 0.5 years.

Solving our equation:

A = 3000(1 + (0.18 × 0.5)) = 3270

A = $3,270.00

The total amount accrued, principal plus interest, from simple interest on a principal of $3,000.00 at a rate of 18% per year for 0.5 years (6 months) is $3,270.00.

Robert had $58.62 in his bank account. He got paid $142.76. He then bought a new jacket for $63.76. He also bought 2 new movies for $6.99 each. He then babysat for his sister and was paid $12. How much money does Robert have now?

Answers

Robert now has $135.64.
Robert starts out with $58.62 in his bank account. Then he makes a deposit of $142.76 because he got paid. The total in his bank account now is $201.38

Robert then decides to buy a new jacket that costs $63.76 which means he made a withdrawal from his account of $63.76
So you would now subtract the total in his bank account from the cost of the new jacket. This leaves him with $137.62 left in his bank account.

Next Robert bought two new movies, which each cost $6.99 and so because he bought two movies, you multiple $6.99 by two. This comes out to $13.98 which is the amount Robert paired to purchase the two new movies. Robert withdrew the $13.98 from his bank account, leaving him with $123.64 left in his bank account.

Finally, Robert is paid $12 for babysitting his younger sister. He adds this to his bank account, which means his bank account total is $135.64

This means that Robert now has $135.64 in his bank account.




Hope this helps :)

r-18=27 Solve this equation

Answers

Step-by-step explanation:

r - 18 = 27

r = 27 + 18

r = 45

...

Answer:

r=45

Step-by-step explanation:

r-18 =27

r=27 +18

r=45

45 - 18 =27

Ben went to the hardware store and bought 7 pieces of rope of equal length. The total length of the ropes was 56 meters. How long was each rope?

Answers

Answer:

8 meters

Step-by-step explanation:

56 / 7 = 8

6x^2=21x-9 Need help learning factoring please put work so I can understand

Answers

Hopefully this is enough work for you finding the the best way to get the multiples of the middle x makes it easier so there is not as many trial and errors. These problems are normally trial and error so don’t lose hope if you don’t get it right away

Find the area of a rectangle whose width is 6 and whose length is x – 5.

Answers

Answer:

If X is -5 then the answer is -30 but if it is X minus 5, the answer is X-30

Answer:

x-30

Step-by-step explanation:

Area of a rectangle is

length x width

l x w

[tex]x-5 * 6 = x-30[/tex]

F(x) = 6x³- x²+ 7x +5

Answers

Answer:

F= 6x²-x+7+ 5/x

Step-by-step explanation:

Divide each term by x and simplify it.

Hope this helps.

a 27-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 5 times as long as the first piece. if x represents the length of the first piece, find the lengths of all three pieces

Answers

Step-by-step explanation:

27 = x + 3x +5x

27 = 9x

3 = x

Board 1: (3)(1) = 3 inches

Board 2: (3)(3) = 9 inches

Board 3: (3)(5) = 15 inches

Length of the first piece is 3 inches

Length of the second piece is 9 inches

Length of the third piece is 15 inches

What are equations?

An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.

How to find the lengths of all three pieces?

According to the problem,

The length of the board is 27 inches.The  board is to be cut into three pieces .The second piece is 3 times as long as the first pieceThe third piece is 5 times as long as the first piece.x represents the length of the first piece

Length of the second piece = 3x inches

∴ Length of the third piece = 5x inches.

Now, all these pieces will add up to 27 inches.

∴ x + 3x + 5x = 27

⇒ 9x = 27

⇒ x = 3

Length of the first piece = 3 inches

Length of the second piece = (3 x 3) inches = 9 inches

Length of the third piece = (5 x 3) inches = 15 inches

Find more about "Simple Equations" here: https://brainly.com/question/847634

#SPJ2

4(x-6)=-4 I'll give you brainly​

Answers

Answer: X = 5

Step-by-step explanation:

solve by multiplying the inside ( )

4x -24 = -4

add 24 to both sides

4x = 20

divide by 4

x = 5

For each graph write the domain and range using inequalities.

Answers

Answer:

to find the domain and range you need to take (x,y)

domain would be all the x coordinates in number order or 1,2,3,4. same for range but with the y-coordinates.

if you have r{2,2,2} then you should but just r;{2}

hope i helped

is 6.458 a rational number

Answers

Answer:

It is a rational number

Answer:

Rational

Step-by-step explanation:

6.458 is rational because it is not repeating or infinite.

What is X= to and what does Y= to?

Answers

Step-by-step explanation:

Straight line = 180 °

5x + 78 = 180

5x = 180 - 78

5x = 102

x = 20.4

and y = 78 ° because y is an opposite angle of 78 °

y=78 degrees
5x + y = 180 degrees
Or, 5x+ 78 = 180 degrees
Or, 5x= 180-78
Or, 5x=102 degrees
Or, 5x=102/4
Therefore, x=20.4 degrees

Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9
I’ll mark brainliest to the first answer I get

Answers

[tex]\begin{cases}2x-9y=-51\\2x-3y=-9\end{cases}\\\\\\\begin{cases}(2x-9y)(-1)=-51(-1)\\2x-3y=-9\end{cases}[/tex]

[tex]\begin{cases}-2x+9y=51\\2x-3y=-9\end{cases}[/tex]     (adding the second equation to the first one)

[tex]\begin{cases}\qquad6y=42\\2x-3y=-9\end{cases}\\\\\\\begin{cases}\qquad y=7\\2x-3y=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-3(7)=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-21=-9\end{cases}\\\\\\\begin{cases}y=7\\2x=12\end{cases}\\\\\\\begin{cases}x=6\\y=7\end{cases}[/tex]

28 divided by -4 is the same as: (read attachment) pls help

Answers

Answer:

it's the last one

Answer:

Step-by-step explanation:

D- 28/-4

f(x)=2x+5 find f(-6)

Answers

Answer:

Step-by-step explanation:

f(x) = 2x + 5

f(-6)= 2(-6) + 5 = -12 + 5 = -7

please I need help with both problems .( also show work plz)​

Answers

Answer:

4. x = 50

5. x = 5

Step-by-step explanation:

For question 4:

Multiply both sides: x + 35 = -15Move the constant to the right: x = -15 - 35Calculate: x = -50

For question 5:

Move the constant to the right: -3x = -17 + 2Calculate the sum: -3x = -15Divide both sides: x = 5

Answer:

4) x= -50

5) x= 5

Step-by-step explanation:

Number 5

Simplifying

-3x + -2 = -17

Reorder the terms:

-2 + -3x = -17

Solving

-2 + -3x = -17

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.

-2 + 2 + -3x = -17 + 2

Combine like terms: -2 + 2 = 0

0 + -3x = -17 + 2

-3x = -17 + 2

Combine like terms: -17 + 2 = -15

-3x = -15

Divide each side by '-3'.

x = 5

Simplifying

x = 5

Number 4

x/5+7 = -3 // + 3

x/5+3+7 = 0

1/5*x+10 = 0 // - 10

1/5*x = -10 // : 1/5

x = -10/1/5

x = -50

x = -50

What is the mode of the set of data?

12, 13, 4, 8, 9, 13, 2, 15, 7, 2, 9, 13, 6

Answers

Answer:

13

Step-by-step explanation:

this is because you have to look for the most common number

‼️Please help‼️
Find the value of x and RT if RS=24 cm

Answers

RS = RT + TS = 24 cm

Let's plug our values into the equation above

24cm = 6x - 4 + 10cm

Combine like terms

24 cm = 6x + 6 cm

Subtract 6 cm from both sides

18 cm = 6x

Divide both sides by 6

3 = x

Plug 3 into the expression for RT

RT = 6(3) - 4 = 18 - 4 = 14 cm

Similarly, we know that TS = 10 cm and RS = 24 cm

24 cm - 10 cm = 14 cm

RT = 14 cm

14 cm = 6x - 4

Add 4 to both sides

18 cm = 6x

Divide both sides by 6

3 = x

[50pts] To find the Volume of a Cone you need to: (SELECT ALL THAT APPLY)
a) Find the radius of the base
b) Find the area of the base
c)Divide by 3 at the end
d) Multiply Length time Width
e) Find the height of the cone

Answers

Answer:

find the radius of the base

find the area of the base

find the height of the cone

divide by three at the end

Step-by-step explanation:

this is from the formulae of volume of the cone

1/3πr2h

Aaron throws a ball off the top of a building. The path of the ball can be modeled by
the equation y=-3x2 + 8x + 42 where y is the height of the ball and x is the time in
seconds since the throw.
A. How long will it take for the ball to hit the ground? Show all work to receive
credit
B. How tall is the building?

Answers

Answer: A: 60, since x = the amount of seconds and the 8 represents the seconds then you'll add 8x+42 and get 60

B: 54, now in this step find what -3x2 is which give you -6  since they're different signs then subtract and your answer will be 54

Step-by-step explanation:

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