The midpoint of AB is M(3, 3). If the coordinates of A are (2, -1), what are the
coordinates of B?

Answers

Answer 1

Step-by-step explanation:

Hey there!!

It's so simple.

While finding the coordinates of any point if the midpoint is there it will be much easier. You must remember the midpoint formulae.

Let's simply work with it.

Here, A (2,-1) and midpoint M(3,3) are given.

Let another coordinate be B(x,y).

By midpoint formulae,

[tex]midpoint(x.y) = \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} [/tex]

Putting their values,

[tex]m(3 , 3) = \frac{2 + x}{2} , \frac{ - 1 + y}{2} [/tex]

As they are equal, equating with their corresponding elements we get,

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

6= 2 + x

x = 6-2

Therefore, the value of a is 4.

Again,

[tex]3 = \frac{ - 1 + y}{2} [/tex]

6 = -1 + y

Therefore, the value of y is 7.

Therefore, the coordinates are B (4,7)

Hope it helps....

Answer 2

Answer:

The coordinates of B is (4, 7)

Step-by-step explanation:

To find the answer for B, you have to do the inverse of the midpoint formula, which is M equals (x1 multiplied by x2, over 2; y1 multiplied by y2, over 2).

If you substitute in A's coordinates for x1 and y1, you come up with (3, 3) = (2+x, over 2; and -1+y, over 2)

If the x coordinate answer for AB was 3, you can create an equation like this to solve for B's x coordinate: 2+x over 2 equals 3.

          you multiply 2 by 3 to get 6---> 2+x=6-----> x=4

If the y coordinate for AB was also three, you can create another equation to solve for B's y coordinate: -1+y over 2 equals 3.

         you multiply 2 by 3 to get 6 again---->so -1+y=6---->y=7

so the answer for B's coordinates is (4, 7).

The Midpoint Of AB Is M(3, 3). If The Coordinates Of A Are (2, -1), What Are Thecoordinates Of B?

Related Questions

Solve for x
x - 7 = 8

Answers

Answer: x = 15

Step-by-step explanation: In this problem, since 7 is being subtracted

from x, add 7 to both sides of the equation to get x by itself.

On the left side, -7 + 7 will cancel out and

on the right side, 8 + 7 simplifies to 15.

So x = 15.

The value of x in the given equation x - 7 = 8 is 15.

Given that an equation x - 7 = 8, we need to solve for x.

To solve for x in the equation x - 7 = 8, you want to isolate x on one side of the equation.

Follow these steps:

Step 1: Add 7 to both sides of the equation to isolate x on the left side:

x - 7 + 7 = 8 + 7

Simplifying the left side, the -7 and +7 cancel out, leaving:

x = 15

Step 2: Check your solution by substituting the value of x back into the original equation:

x - 7 = 8

Substitute x with 15:

15 - 7 = 8

Simplify the left side:

8 = 8

Since the left side equals the right side, we have verified that x = 15 is indeed the correct solution for the equation.

Hence, the answer is x = 15.

Learn more about equation click;

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256 over the square root of 256 select all that apply A: Rational B: Integer C: Whole D: Real

Answers

Answer:

A:rational hope this helps mark brainlest

Step-by-step explanation:

For the EOQ model, which of the following relationships is incorrect?
a. As the order quantity increases, the number of orders placed annually decreases.
b. As the order quantity increases, annual holding cost increases.
c. As the order quantity increases, annual ordering cost increases.
d. As the order quantity increases, average inventory increases.

Answers

Answer: As the order quantity increases, annual ordering cost increases

Step-by-step explanation:

The Economic Order Quantity (EOQ) is simply referred to as the amount of units that should be added by a company to its inventory with each order in order to minimize total inventory costs such as order costs, holding costs, and shortage costs.

The incorrect option is that "as the order quantity increases, annual ordering cost increases". It should be noted that ordering costs are simply the expenses that are incurred in order for an order to be created and processed to a supplier. It should be noted that as the ordering quantity increases, it doesn't mean that the annual ordering costs also increase.

What is the equation of the line parallel to 3x + 5y = 11 that passes through the point (15, 4)?

Answers

Answer:

The answer is

[tex]y = - \frac{3}{5} x + 13[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is 3x + 5y = 11

We must first write the equation in the general equation above

So we have

5y = - 3x + 11

Divide both sides by 5

[tex]y = - \frac{ 3}{5} x + \frac{11}{5} [/tex]

Comparing with the general equation above

Slope = - 3/5

Since the lines are parallel their slope are also the same

Slope of parallel line = - 3/5

So the equation of the line using point

(15, 4) and slope - 3/5 is

[tex]y - 4 = - \frac{3}{5} (x - 15) \\y - 4 = - \frac{3}{5} x + 9 \\ y = - \frac{3}{5} x + 9 + 4[/tex]

We have the final answer as

[tex]y = - \frac{3}{5} x + 13[/tex]

Hope this helps you

Answer:D

Step-by-step explanation:Edge

suppose that a computer chip company has just shipped 10,000 computer chips to another computer company. Unfortunately, 20 of the chips are defective. Compute the probability that two randomly selected chips or defective using conditional probability

Answers

Answer:

20÷10=2. 10,000÷10=1,000

Therefore, the probability of two randomly selected chips being defective is 2 in 1,000 or 2/1,000

Determine the exponential regression of the data below using either a calculator or spreadsheet program. Round the values in the regression equation to two decimals.Then, estimate the y value when the x value is 100. Round your answer to one decimal place. (14,500),(23,320),(37,150),(41,87),(56,40),(70,21)

Answers

Answer:

Y = 1148.92(0.94^x) ; Y = 2.4

Step-by-step explanation:

Given the following data :

(14,500),(23,320),(37,150),(41,87),(56,40),(70,21)

X:

14

23

37

41

56

70

Y:

500

320

150

87

40

21

The exponential regression equation is expressed in the form :

Y = AB^x

A = Initial value

B = rate ; x = time

Using the online exponential regression calculator on the data provided :

Y = 1148.92(0.94^x)

Y = prediction

Estimate y, when x = 100

Y = 1148.92(0.94^100)

Y = 1148.92(0.0020548)

Y = 2.360800816

Y = 2.4

Answer:

2.4

Step-by-step explanation:

You ran 2 miles on Monday,2 miles on Tuesday, 3 miles on Wednesday ,2 miles on Thursday and 4 miles on Friday how many miles did you run during the week

Answers

Answer:

13 miles

Step-by-step explanation:

Add all of the number of miles you ran from each day to get your total mileage.

2+2+3+2+4

solve a=9y+3xy for y

Answers

Answer:

y=a/(9+3x)

Step-by-step explanation:

Reverse: 9y+3xy=a

y(9+3x)=a

y=a/(9+3x)

Eight friends bought a large order of wings. Each of them ate 9 wings. How many total wings were in the order?

Answers

Answer:

72 wings

Step-by-step explanation:

[tex]1 \:friend = 9 \:wings\\8 \: friends = x\:wings\\\\[/tex]

Cross Multiply

[tex]x = 9\times 8\\\\x = 72 \:wings[/tex]

The order came with 72 wings. 72 divided by 9=8, 8 times 9=72

What is the value of r in the equation 3r − 6 = 18?

6
8
18
24

Answers

R=18
y o u r a n s w e r i s C .18

Answer:

8

Step-by-step explanation:

3 [tex]x[/tex] 8 = 24

24-6=18

so its 8

The product of two whole number is 462 and their sum is 43. What are the two numbers?

Answers

Answer:

21 and 22

Step-by-step explanation:

Let the two whole numbers be a and b.

Their product is 462. Hence, we can write that:

[tex]ab=462[/tex]

Likewise, because their sum is 42:

[tex]a+b=43[/tex]

This yields a system of equations:

[tex]\displaystyle \begin{cases} ab = 462 \\ a + b = 43 \end{cases}[/tex]

We can solve the system using substitution.

Isolating one variable in the second equation yields:

[tex]a=43-b[/tex]

From substitution:

[tex](43-b)(b)=462[/tex]

Distributing yields:

[tex]-b^2+43b=462[/tex]

Solve for b by factoring:

[tex]\displaystyle \begin{aligned} b^2 - 43d & = -462 \\ \\ b^2 - 43d + 462 & = 0 \\ \\ (b-21)(b-22) &= 0 \\ \\ b = 21 \text{ or } b & = 22 \end{aligned}[/tex]

Solve for a:

[tex]\displaystyle \begin{aligned} a& =43-(21) & \text{ or } a& =43-(22) \\ a&=22&\text{ or } a&=21\end{aligned}[/tex]

In conclusion, the two whole numbers are 21 and 22.

What is the slope of a line perpendicular to the line whose equations is x-y=6

Answers

Answer:

m = -1

Step-by-step explanation:

First write the line in slope intercept form y = mx+b where m is the slope and b is the y intercept

x-y = 6

subtract x from each side

-y = -x+6

Multiply each side by -1

y = x-6

The slope is 1

Perpendicular lines have slopes that multiply to -1

m * 1 = -1

m = -1

The slope of the perpendicular line is -1

Solve the inequality 9y+5(y+3)<4y−35 and write the solution in interval notation.

Answers

Answer:

( −∞,−5) interval notation, and inequality solution y < -5 ,

Step-by-step explanation:

Answer:

y<-5

Your Interval Notation would be an open circle and the arrow would be pointing to the left. (<-- (-6) --- (-5) --- (-4) -->) This will be your # line.

Step-by-step explanation:

9y+5(y+3) < 4y-35

1) Distribute the 5 in 5(y+3).

9y+5y+15 < 4y-35

2) Combine like terms. 9y and 5y.

9y+5y= 14y

14y+15 < 4y-35

3) MY TIP is to keep the variables on the left side, bc if you don't at the end you will have to flip the sign. so.. Subtract 4y from both sides

14y+15 < 4y-35

-4 -4

10y+15 < -35

3) Then you will subtract 15 from both sides

10y+15 < -35

-15 -15

10y < -50

4) Last is to divide to get your variable by itself.

10y < -50

÷10 ÷10

Answer : y < -5

Interval Solution: Open circle, -5 in the middle of the line and you will shade in the numbers to the left. .

Shawn has a piece of paper that is 26 cm long and 19 cm wide. If he divides the piece of paper into 2 equal sections, what is the area of each section? A. 43 sq cm B. 45 sq cm C. 247 sq cm

Answers

Answer:

C

Step-by-step explanation:

26*19=494

494/2=247

Question text

A recipe calls for 5 cups of flour to make 20 biscuits, how many cups of flour do you need to make 100 biscuits.

Answers

The answer is 25, I hope this helps you.

5-1 + (-3) = 3 + (-1)

Answers

Answer: 1=2 so your answer would be false.

Step-by-step explanation:

Answer:

The answer is 1=2 which is false.

Step-by-step explanation:

5-1+(-3)= 3+(-1)

or, 5-1-3 = 3-1

or, 5-4 = 2

or, 1=2

Multiply 39.341 × 0.72 = _____ Numerical Answers Expected!

Answers

Answer:

28.32

Step-by-step explanation:

multply them with a calculator, then take away the numbers you dont need

235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each group are at the camp? PLS DO IT QUICK

Answers

Answer:

Number of girls = 90

Number of boys = 125

Number of Adults = 20

Step-by-step explanation:

Let us represent:

The number of girls = g

The number of boys = b

Number of Adults = a

235 people are at RSM summer camp.

Hence,

g + b + a = 235 .......Equation 1

There are 35 more boys than girls, and 70 fewer adults than girls.

b = g + 35

a = g - 70

Hence we substitute g + 35 for b and g - 70 for a in Equation 1

g + b + a = 235 .......Equation 1

g + g + 35 + g - 70 = 235

3g + 35 - 70 = 235

3g - 35 = 235

3g = 235 + 35

3g = 270

g = 270/3

g = 90

Hence, there are 90 girls in the party.

Number of boys is calculated as:

b = g + 35

b = 90 + 35

b = 125

Number of Adults is calculated as:

a = g - 70

a = 90 - 70

a = 20

How many people of each group are at the camp?

Number of girls = 90

Number of boys = 125

Number of Adults = 20

Answer:

There are 90 girls, 125 boys, and 20 adults.

Step-by-step explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20

Can someone explain this to me?

Answers

Answer:

120/7

Step-by-step explanation:

You cross multiply120=7xDivide both sides x= 120/7

Plus help if u can ❤️❤️

Answers

Answer:

0

Step-by-step explanation:

I need help with 1,2 and 3

Answers

Step-by-step explanation:

Hey there!!!

1. Ans.

The formula for quadratic equation,

[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

2. Ans.

When, the quadratic equation is given, in the form of;

[tex]a {x}^{2} + bx + c = 0[/tex]

Then, "a" is the coefficient of x "b" is the coefficient of y. and c is the constant value.

3.Ans.

[tex] \sqrt{ {b}^{2} - 4ac } \: tells \: us \: the \: type \: of \: solutions.[/tex]

Hope it helps..

ANSWER ASAP
In the diagram shown to the right, mGAF = x-6, mEAF=x+18, and mGAE=72. find the value of x and the numerical values of mGAF and mEAF

Answers

find x first 72-18+6=48

now make x=48

48-6=42

now x is 42

42+18=60

now x=60

Thnks!

|Brailiest!!!!!!!!!

which are possible names for the angle​

Answers

Answer:

[tex] < JHP \\ < H[/tex]

Step-by-step explanation:

[tex] < [/tex]

Note the letter in the number carries the angle I

sign.

According to the diagram, H is the angle

Answer:

The answer to this one is <JHP and <H

Step-by-step explanation:

Help me please 2(x-4) = 6x - 6

Answers

Answer:

-1/2

Step-by-step explanation:

2(x-4)=6x-6

2x-8=6x-6

2x-6x-8=-6

-4x-8=-6

-4x=-6+8

-4x=2

x=2/-4

simplify

x=-1/2

Answer:

[tex]x = -\frac{1}{2}[/tex]

I hope this helps!

Round $7.425.07 to the nearest dollars

Answers

All we need to do is round up so we don't have any decimal.

Remember:

4 and below rounds down

5 and above rounds up

Since we have the number "0" in the tenths place, its below 0 so we round down.

7,425.07 -> 7,425

Therefore, the answer is [ 7,425 ]

Best of Luck!

The left and right page numbers of an open book are two consecutive integers whose sum is 533. Find the page numbers

Answers

Answer:

The page numbers are 266 and 267

Step-by-step explanation:

I divided 533 by 2

Then get 266.5

Then guessed and checked which pages around that value added up to 533

and you get pages 266 and 267

For an apartment complex, the association collects $158,000 from all of its 211 residents. What is the average rent per capita for this apartment complex?

Answers

Each person has a rent of about $749

Order the numbers in each list from least to greatest
-5,-7,0,-1

A. 0,-1,-5,-7

B. -1,-5-7,0

D. -7,-1-5,0

C. 7,-5-1-0

I really need help with this question

Answers

The answer is -7,-5,-1,0

Answer:

-7,-5,-1,0

Step-by-step explanation:

The reason behind this is because if you think about it -7 is small number due to it being in the other side of the number line, and same goes with -5 and -1

Find three consecutive even integers such that when the first integer is
multiplied by the third integer, the result is 2 more than 5 times the
second integer. [Only an algebraic solution will be accepted.]

Answers

Answer:

4, 6, 8

Step-by-step explanation:

Let the three consecutive integers be a, b, and c.

So, first, we know that they are three consecutive even integers. In other words:

[tex]a=2n,b=2n+2,c=2n+4[/tex]

N is any integer, but the 2n ensures that the outcome is even. Since we want to make the subsequent terms also even, we add 2.

We are told that when the first integer (a) is multiplied by the third integer (c), the result is 2 more than 5 times the second integer (b). In other words:

[tex]ac=2+5b[/tex]

Substitute:

[tex](2n)(2n+4)=2+5(2n+2)[/tex]

Distribute both sides:

[tex]4n^2+8n=2+10n+10[/tex]

Add on the right:

[tex]4n^2+8n=10n+12[/tex]

Subtract 10n and 12:

[tex]4n^2-2n-12=0[/tex]

Divide everything by 2:

[tex]2n^2-n-6=0[/tex]

Factor. Find two numbers that when multiplied equals (2)(-6)=-12 and when added equals -1.

3 and -4 works. Thus:

[tex]2n^2-4n+3n-6=0\\2n(n-2)+3(n-2)=0[/tex]

Combine:

[tex](2n+3)(n-2)=0[/tex]

Zero Product Property:

[tex]2n+3=0\text{ or } n-2=0[/tex]

Solve for n:

[tex]n=-3/2\text{ or } n=2[/tex]

So, n is either -3/2 or 2.

That means that a must be either:

[tex]a=2(-3/2)\text{ or } 2(2)[/tex]

Multiply:

[tex]a=-3\text{ or } 4[/tex]

The first answer is not even. So:

[tex]a=4[/tex]

Our first answer is 4.

And our sequence is 4, 6, and 8.

Checking:

4 times 8 is 32.

2 plus 5 times 6 is also 32.

So our answer is correct.

2 Blood sugar levels are normally distributed with a mean of 100 milligrams per deciliter and a standard deviation of 10 milligrams per deciliter. Sam's blood sugar is 85 milligrams per deciliter. What is his Z-score? * (2 Points) O 1.5 0 -1.5 O 15 010​

Answers

Answer: C

Step by step explanation:

Correct answer
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