R is the midpoint of PQ. PR = 6x + 7 and RQ = 3x + 8, find the length of PQ.

Answers

Answer 1

Answer:

PQ = 18

Step-by-step explanation:

If R is the midpoint of PQ, then PR = RQ

⇒ 6x + 7 = 3x + 8

⇒ 3x = 1

⇒ x = 1/3

So PR = 6x + 7 = 6(1/3) + 7 = 9

and RQ = 3x + 8 = 3(1/3) + 8 = 9

⇒ PQ = PR + RQ = 9 + 9 = 18


Related Questions

plz help! what is the end of behavior of f(x)?

Answers

Answer:

B

Step-by-step explanation:

The end behavior of a function is how the graph behaves as it approaches negative and positive infinity.

Let's take a look at each end.

As x approaches negative infinity:

As x approaches the left towards negative infinity, we can see that the graph is shooting straight upwards.

Therefore, as [tex]x\rightarrow-\infty[/tex], our function f(x) is increasing and increasing up towards positive infinity.

Therefore, the end behavior at the left will be:

[tex]\text{As } x\rightarrow-\infty, f(x)\rightarrow\infty[/tex]

As x approaches (positive) infinity:

As x approaches the right towards positive infinity, we can see the that graph is also shooting straight upwards.

Therefore, the end behavior will be exactly the same. As x approaches positive infinity, f(x) also approaches positive infinity.

Therefore, the end behavior at the right will be:

[tex]\text{As } x\rightarrow \infty, f(x)\rightarrow \infty[/tex]

Therefore, our answer is B.

Shannon burns 46 calories each hour while sleeping. When she plays basketball, she burns 11 times as many calories as she does when sleeping. She burns twice as many calories each hour when she runs than when she plays basketball. How many calories does Shannon burn when she runs for 1 hour? Enter the correct number in the box.

Answers

Answer: 1012 calories

Step-by-step explanation:

Shannon burns 46 calories each hour while sleeping.

When she plays basketball, she burns 11 times as many calories as she does when sleeping. The amount of calories burnt when she plays basketball will be:

= 11 × 46

= 506 calories

She burns twice as many calories each hour when she runs than when she plays basketball. The amount of calories burnt when she runs will be:

= 2 × 506 calories

= 1012 calories

The amount of calories that Shannon burn when she runs for 1 hour will be 1012 calories

Helpppp please homework for Geometry

Answers

Answer:

2,304

Step-by-step explanation:

Formula:
LxWxH

18x16x8

2,304

YALL HELP PLEASE PLEASE!!


If C=3m^2 +4m+5 and D =3m +7, find expression that equal 2C +2D in standard form

Answers

Answer:

2(3m^2 +4m+5)=2(3m+7)

Step-by-step explanation:

can I get a answer within 10 min becoz it's very urgent​

Answers

Answer:

4a^2-b^2a-4b^2-2a^b-4ab/b(a+4)(a+b)

Step-by-step explanation:

Jenna received the following scores on five history tests. 69 70 85 97 97 Suppose Jenna receives a score of 69 on her next test. How does the median change? Please tell me I need the answer

Answers

Answer: The median changes from 83.6 to 81.2

Step-by-step explanation:

69+70+85+97+97= 418/5 = 83.6

69+70+85+97+97+69 = 487/6 = 81.2

Solve the equation
2x2+8x -1 = 0
by completing the square.
Give your answers correct to 2 decimal places.

Answers

Answer:

x ≈ - 4.12 , x ≈ 0.12

Step-by-step explanation:

2x² + 8x - 1 = 0 ( add 1 to both sides )

2x² + 8x = 1 ( factor out 2 from the first two terms )

2(x² + 4x) = 1

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 4x

2(x² + 2(2)x + 4 - 4) = 1

2(x + 2)² - 8 = 1 ( add 8 to both sides )

2(x + 2)² = 9 ( divide both sides by 2 )

(x + 2)² = [tex]\frac{9}{2}[/tex] ( take square root of both sides )

x + 2 = ± [tex]\sqrt{\frac{9}{2} }[/tex] = ± [tex]\frac{3}{\sqrt{2} }[/tex] ( subtract 2 from both sides )

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

Then

x = - 2 - [tex]\frac{3}{\sqrt{2} }[/tex] ≈ - 4.12 ( to 2 dec. places )

x = - 2 + [tex]\frac{3}{\sqrt{2} }[/tex] ≈ 0.12 ( to 2 dec. places )

A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet.

If the park is shown as a square on the map, each side of which is one foot long, how long is each side of the square park?
If a straight path in the park is 900 feet long, how long would the path be when represented on the map?

Answers

Answer:

4 1/2 percent inch at the other side

help me answer this i need it

Answers

Answer:

0.25 cm

Step-by-step explanation:

24÷0.60 = 40

doneeee..

Susan joined a video rental club. She paid an initiation fee of $12.75, and it cost
$0.75 per video that she rented. One month, Susan paid a total $105.75 to rent
(v) videos. Write an equation that represents this situation.

Answers

Answer:

(v)= 0.75+12.75

Step-by-step explanation:

if the cost to rent a video game is 0.75 then you put the .75 after the (v) because each video costs 0.75 to rent, then it says she paid another cost to an initiation fee, so you then add that cost onto the rent fee.

what is the range of y= -x2+15

Answers

Answer:

( − ∞ , 15 ] , { y | y ≤ 15 }

is the range

120 as a product of prime

Answers

Answer:

Your answer is:

The Prime: 2 x 2 x 2 x 3 x 5

Exponential: 2^3 x 3^1 x 5^1

CSV: 2, 2, 2, 3, 5

Step-by-step explanation:

Hope this helped : )

FInd the area of the polygon
pls help

Answers

Answer:

202.5mm^2

Step-by-step explanation:

15x9= 135mm^2 (area of rectangle)

15-9=6

9÷2= 4.5

4.5x15= 67.5mm^2 (area of triangle)

135+67.5= 202.5mm^2 (total area)

answer is 202.5mm^2

WILL GIVE BRAINLIEST!!!!
Explain what “negative linear” means.

Answers

Answer:

If the slope is negative, then there is a negative linear relationship, as one increases the other variable or unknown "number" or wtvr you want to call it decreases. Sorry if this doesnt help im not too good at math.

Step-by-step explanation:

Please someone I need a clear answer for this question

Answers

Answer:

I think it is a function

Step-by-step explanation:

Answer:

It is NOT a function.

Each input is paired with EXACTLY ONE output.

Qu
What is the slope of y = 52 – 1?

Answers

Answer:

Is it 0 ? im not sure

Step-by-step explanation:

consider the following diagram

Answers

there is no diagram, you need to insert a picture with your question so people can help you

ILL GIVE 40 POINTS!!

Which of the following numbers can be expressed as a decimal that terminates?

seven over four, five over nine, three over eight, two over three

seven over four and three over eight
five over nine and two over three
seven over four and five over nine
three over eight and two over three

Answers

Answer:

1.First = Seven over four and three over eight

because The denominators of 9 and 3 were not divisible by any of the tenths, hundredths, thousandths, etc.

Step-by-step explanation:

A terminating decimal, true to its name, is a decimal that has an end. For example, 1 / 4 can be expressed as a terminating decimal: It is 0.25. In contrast, 1 / 3 cannot be expressed as a terminating decimal, because it is a recurring decimal, one that goes on forever. In other words, as a decimal 1/3 is 0.33333…..

Answer:

Seven over Four is one of the best answers

the actual height of a drinking cup is 9cm. The height of the cup in a photo taken is 1.5cm. Determine the scale factor of the reduction

Answers

Step-by-step explanation:

1.5 cm in the picture is 9 cm in reality.

1.5 × f = 9

f = 9/1.5 = 6

so, the scale factor of the picture is 1/6 of reality.

One of the legs of a right triangle measures 13 cm and its hypotenuse measures 18 cm. Find the measure of the other leg

Answers

Answer: sqrt(155)

Step-by-step explanation:

solve for x and y 7x + 5y = 12 and 7y - 2x = 11​

Answers

your answer is 3/2=1.5

Can someone help me on this question? I’ll give brainliest if you answer soon!!!

Answers

Answer:

81°

Step-by-step explanation:

Both are vertical to one another. Vertical angles usually have the same degree.

Answer:

81 degrees

Step-by-step explanation:

because the two lines are straight, and we know that the angles opposite to each other are identical, and since FHC is equal to EHD, its size must also be equal.

Question
Evaluate 4(3+5)-3(6-2) .

Answers

Answer:

18 btw all you have to do is distribute

Step-by-step explanation:

12 + 20 - 18 + 4

12 + 2 + 4

12 + 6

18


HELP ASAP

A system of equations is
given below.

y=-2x+ 1/4 and y=-2x- 1/4

Which of the following statements best describes the two lines?

1)They have the same slope but different y-intercepts, so they have no solution.

2)They have the same slope but different y-intercepts, so they have one solution.

3)They have different slopes but the same y-intercept, so they have no solution.

4)They have different slopes but the same y-intercept, so they have one solution.

Answers

Answer:

Option 1

Step-by-step explanation:

They have the same slope but different y-intercepts, so they have no solution.

Answer: They have the same slope but different y-intercepts, so they have no solution.

Step-by-step explanation:

17 is a prime number. What can you conclude from this?
AIt can be divided evenly by 2 incorrect answer
BIt can't be used as the denominator of a fraction incorrect answer
CIt can't be multiplied by any other number incorrect answer
DIts only factors are 1 and itself incorrect answer

Answers

Answer: Choice D

Its only factors are 1 and itself

Explanation:

There's not much more to mention since choice D perfectly describes what it means to be prime.

The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, ...

There are infinitely many prime numbers.

The answer is D. 17 is a prime number. Its only factors are 1 and itself

The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game
reduced?

Answers

Answer:

25% decrease

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Kelly buys 3.5 gallons of gas.the gas cost $3.74 per gallon. Kelly wants to find the total cost of the gas. What is the total cost of the gas Kelly buys? HELP ME PLS GUYS AND FAST!!!

Answers

Answer:

$13.09

Step-by-step explanation:

     If Kelly buys 3.5 gallons of gas, we can multiple each gallon by the price of the gas since the cost is given to us price per gallon.

3.5 gallons * $3.74 = $13.09

There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?

Answers

Answer:

The probability that we got is 35%

What is the GCF of 6n-8

Answers

Answer:

GCF = 2

Step-by-step explanation:

6n - 8

consider factors of 6 and 8

factors of 6 are 1, 2, 3, 6

factors of 8 are 1, 2, 4, 8

the GCF is 2

\

Answer: 2 is correct

Step-by-step explanation:

If two parallel lines are cut by a transversal, which angle pairs are NOT congruent?

Group of answer choices

alternate interior angles

alternate exterior angles

corresponding angles

consecutive (same side) angles

Answers

Answer:

corresponding angles

Hope this helps

Answer:

[tex] \bold \red{correct \: answer}[/tex]

consecutive (same side )angles

Step-by-step explanation:

alternative exterior and interior angles and corresponding angles are equal and congruent.

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