Find the values of p and q so that (-2,5) is the midpoint of the segments joining points (p,p+q) and (p+4, 3q+6)

Answers

Answer 1

Answer:

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and ( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

midpoint is ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

~~~~~~~~~~~~~

( p , p + q )

( p + 4 , 3q + 6 )

( p + p + 4 ) ÷ 2 = - 2

p = - 4

( - 4 + q + 3q + 6 ) ÷ 2 = 5

2q = 4

q = 2


Related Questions

Amelia and her children went into a grocery store and she bought $10 worth of apples and bananas. Each apple costs $1 and each banana costs $0.50. She bought a total of 12 apples and bananas altogether. By following the steps below, determine the number of apples, x,x, and the number of bananas, y,y, that Amelia bought.

Answers

Answer:

8 apples

4 bananas

Step-by-step explanation:

8 apples (8$)

4 bananas (4$)

12 total

10 $ total

hope it helps

A pair of shoes is originally sold for $85. Currently, there is a 15% off sale. How much would the pair of shoes cost after the discount? Group of answer choices

Answers

$72.25 before tax of course

Answer:

$72.75

Step-by-step explanation:

15% of $85 is $12.75

$85 - $12.75 = $72.25

pls help me find the missing angle​

Answers

Answer:

b=114

c=43................

Outliers have very little or no effect on which of the following check all that apply mean median mode range or standard deviation

Answers

Outliers are data elements that are far from the other elements of a dataset, and they have little or no effect on the median and the mode

Outliers are usually large or very low values, and they always affect the mean of the dataset.

Also, they affect the range of the dataset.

The standard deviation is dependent on the mean of the dataset.

This means that, outliers would also have effects on the standard deviation.

However, outliers are most likely not to have a considerable effect on the median and the mode of the dataset.

Hence, the true options are mode and median

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Is 27, 333 divisible by 3? Write the number 27,333 as the product of 3 and another factor.

Answers

Yes, 3 divides 27,333. We have

27,333 = 27,000 + 333

… = 27•1,000 + 333

… = 3•9•1,000 + 3•111

… = 3•(9•1,000 + 111)

… = 3•(9,000 + 111)

… = 3•9,111

What is the surface area of the rectangular prism below?

Answers

Answer:

8*8 *2=64

8*19 *2=304

8*19*2=304

672units is your answer

The surface area of the rectangular prism below is 736 square units

Surface area of rectangular prism

The formula for calculating the surface area of the rectangular prism is expressed as:

A = 2(lw + wh + lh)

Given the following parameters

l = 8

w = 19

h = 8

Substitute

SA = 2(8(19) + 8(19) + 8(8))

SA = 2(152 + 152 +64)

SA = 2(304+ 64)

SA = 2(368)

SA = 736 square units

Hence the surface area of the rectangular prism below is 736 square units

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Determine the ordinary simple interest on a 90-day loan of Php8000 at 8 ½ % interest rate.

Answers

Answer:

$170

Step-by-step explanation:

e/kaid_274404147475337871026587/assig!
Khan Academy
Percent word problems
Of the 50 U.S. states, 4 have names that start with the letter W.
What percentage of U.S. states have names that start with the letter W?
0
Stuck? Review related articles/videos or use a hint.

Answers

Answer:

Step-by-step explanation:

4/50 = 0.08

0.08(100) = 8%

Find the value for x.

Answers

Answer:

x = 21

Step-by-step explanation:

5x - 12 = 3x + 30

5x - 3x = 30 + 12

2x = 42

x = 21

---------------------

check

5 * 21 - 12 = 3 * 21 + 30

93 = 93

the answer is good

What is the Bill of Rights?
The first amendment to the Constitution, which is actually a group of ten amendments
The list of laws that people of the United Stated needed to follow
The document that replaced the Constitution
The document that replaced the Articles of Confederation

Answers

Answer:

The first amendment to the Constitution, which is actually a group of ten commandments

Step-by-step explanation:

The first amendment to the Constitution is actually a group of ten amendments called the Bill of Rights. The Bill of Rights guarantees all Americans certain freedoms, such as freedom of religion, freedom of the press, freedom of speech, the right to bear arms, and the right to a fair trial.

Find the slope of the line passing through the points (7.6) and (7.-2).​

Answers

Slope of (7,6) and (7,-2) is: -8

2yx= 4 is it a linear function?

Answers

Answer:

No, it is not a linear function, rather a rational function

Step-by-step explanation:

Because the term on the left-hand side contains both x and y, then neither variable varies directly with the other, hence, it's a rational function:

2yx=4

yx=2

y=2/x

The perimeter of a rectangle is represented by the expression 12x-2812x−28. The length of the rectangle is represented by the expression 2x+102x+10. Which expression represents the width of the rectangle?

Answers

Answer:

339,006 that's the answer

Issac wanted to make a homemade bubble solution to play with his friends. A bubble recipe he found requires 4 cups of warm water for every 1/2 cup of soap. If he had 2/3 cup of soap how many cups of warm water will he need

A- 1/12
B- 1 1/3
C- 5/13
D- 8

Answers

Answer: 8/3

You first do 4x2 than you would have to divide by 3. 4x2*3

The number of cups of warm water need for 2/3 cup of soap to make solution is [tex]5\frac{1}{3}[/tex]. Therefore, option C is the correct answer.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, a bubble recipe he found requires 4 cups of warm water for every 1/2 cup of soap.

Let the number of cups of warm water need for 2/3 cup of soap be x.

Now, the proportion is

4:1/2 :: x:2/3

1/2 x=4×2/3

x/2=8/3

x=16/3

x= [tex]5\frac{1}{3}[/tex]

Therefore, option C is the correct answer.

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Pls help brainlist pls help

Answers

Answer:

The slope of the function represents how much the function rises per amount that it moves horizontally.

Step-by-step explanation:

Which equation represents a line that is parallel to the line 4x-3y=15
1) y = -4/3x - 4
2) y = -3/4x - 2
3) y = 4/3x + 2
4) y = 3/4x - 6

Answers

Answer:

1

Step-by-step explanation:

because... it is

Please take a look at the picture

Answers

Answer:

B) -g/-h

Step-by-step explanation:

-g/-h=g/h

Rewrite the fraction.

-(-g/h) = g/h

Hope this helps :)

Find The slope of the line represented by the points in the table (use your notes to get the formula it needed).
4.
Number
of Hours
1
2.
3
4
Cost
($)
$17
$29
$41
$53

Answers

the answer is 53 out of all of them

Hanna and Dien are both getting a raise. Who will earn more
per hour after the raise?

Answers

Step-by-step explanation:

First, you need to calculate how much they will earn per hour by multiplying their raise per hour by there hours and adding it to their earnings divided by the hours worked. Then, whoever's is the highest will be the answer.

Hanna will earn more per hour after the raise, with an hourly rate of $10.75 compared to Dien's hourly rate of $10.60.

What is Division?

A division is a process of splitting a specific amount into equal parts.

To find the new earnings per hour for Hanna and Dien

Divide their total earnings after the raise by the total number of hours they worked after the raise.

The raise per hour is already given, so we can simply add it to their old hourly rate.

For Hanna, her new hourly rate would be:

(New earnings) / (Hours worked) = (78 + 8) / 8

= 86 / 8

= $10.75

This means that Hanna will earn $10.75 per hour after the raise.

For Dien, his new hourly rate would be:

(New earnings) / (Hours worked) = (60.60 + 3) / 6

= 63.60 / 6

= $10.60

This means that Dien will earn $10.60 per hour after the raise.

Therefore,  Hanna will earn more per hour after the raise, with an hourly rate of $10.75 compared to Dien's hourly rate of $10.60.

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WILL GIVE BRAINLIEST AND WORTH 20 POINTS! A train leaves Los Angeles at 2 p.m. heading north at 50 mph. If the next train leaves three hours later and also heads north at 60 mph, at what time will the second train catch up with the first?

Answers

Answer:

the second train will Cath up with the first after 15 hours hence time will be at (5pm+15hours= 8:00am

Step-by-step explanation:

PLS HELP ME PLS HELP ME PLS HELP ME

Answers

Answer:

Step-by-step explanation:

Help help help math please help help

Answers

Answer:

x=11

Step-by-step explanation:

We know that angles on a straight line equal 180 degrees, so we know that 8x+10+7x+5 = 180.

Simplify

15x+15=180

Solve

Take away 15 from both sides

15x = 165

Divide 165 by 15

x = 11

You pay a real estate agent a 4% commission for selling your
house. After paying the commission, you receive $302,900. What
was the actual selling price of the house?
Yes

Answers

Answer:

Step-by-step explanation: 56

g A long-term study has revealed that a test for cancer in men is very effective. The study shows that 89% of the men for which the test is positive actually have cancer. If a man selected at random tests positive for cancer with this test, what is the probability that he does not have cancer

Answers

The answer is 89% because I had that Same question and it was 89%

Multiply.

3 1/2 times 2 2/3

Answers

Answer:

Step-by-step explanation:

3 1/2 x 2 2/3 = 9 2/6 which simplifies to 9 1/3

Evaluate. (w^2/x -3) ÷10 × z when w= -4, x = 0.8, and z = -4/5 Enter your answer as a simplified mixed number in the box.​

Answers

Answer:

-1.36

Step-by-step explanation:

(-4^2/0.8-3)/10×-4/5=-1.36

An ice cream factory makes 300 quartz of ice cream in 10hr how many quartz can be made in 12 hours

Answers

Answer:

360

Step-by-step explanation:

Answer:

360 quarts

Step-by-step explanation:

300/10=30

30*12=360

What is the equation for the line in slope-intercept form?



Enter your answer in the box.

Answers

i believe it's -4 :)

Solve the inequalities from parts A and D for the variables b and n, respectively.



Part A:2b<56
Part D:n<56

Answers

Answer:

Part A: b < 28

Part D: n < 56

Step-by-step explanation:

part A: divide each term in  and simplify.

Inequality Form: b < 28

part d: this is already solved but can be shown in multiple forms.

Inequality Form: n < 56

Interval Notation: ( -∞ , 56)

(8 points) will mark brainliest!! pls help:)

Answers

Answer:

-0.366666666667

Step-by-step explanation:

that's what you get when you divide -22/5 (-4 2/5) by 4/3 (1 1/3)

Answer:

-24/5 is the correct answer.

Steps:

1) -4 x 2/5 = -8/5

2) 1 x 1/3 = 1/3

3) -8/5 : 1/3 = -24/5

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