Mathematics High School

#3 Q is the midpoint of PR, PQ = 2x, and PR = 8x - 12. Find X, PQ, and PR.
(x - 12 = 2x
2x = 8x 12+ 8x - 12
(Number 3!!!!)

#3 Q Is The Midpoint Of PR, PQ = 2x, And PR = 8x - 12. Find X, PQ, And PR.(x - 12 = 2x2x = 8x 12+ 8x

Answers

Answer 1

Answer:

x = 3, PQ = 6 , PR = 12

Step-by-step explanation:

Given Q is the midpoint of PR , then

PQ = QR = 2x

PR = PQ + QR , that is

8x - 12 = 2x + 2x

8x - 12 = 4x ( subtract 4x from both sides )

4x - 12 = 0 ( add 12 to both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Then

PQ = 2x = 2 × 3 = 6

PR = 8x - 12 = 8(3) - 12 = 24 - 12 = 12

Related Questions

Jane is solving the equasion -2x + 4 = 18. She tells her partner that they should add two to both sides first since that is the inverse of -2. Did Jane start this equation correctly? Explain your reasoning

Answers

Answer:

No

Step-by-step explanation:

Given

- 2x + 4 = 18

note the inverse of - 2 is - [tex]\frac{1}{2}[/tex] not - 2

However , the first step is to isolate the term in x by subtracting 4 from both sides.

- 2x = 18 - 4 = 14 ( divide both sides by - 2 )

x = - 7

Which of the following values are solutions to the inequality 5x – 10 < -5?
I. - 1
II. 9
III.1
None
I only
II only
III only
I and II
I and III
II and III
I, II and III

Answers

Answer:

-1

Step-by-step explanation:

Plug in all of the numbers for x. 1 is -5<-5 and -1 is -15<-5

2x^2(6x^3-3x+1) need help

Answers

Answer:

12x^5-6x^3+2x^2

Step-by-step explanation:

From 1985 through 1995, the yearly gross farrm revenue (in millions) in the United States can be modeled by the function R(t)=-t^2+7t+159 and the yearly farm cost (in millions) in the United States can be modeled by the function c(t)=t^2+131 where t is the number of years since 1985. Write a new function, P(t), that models the yearly profit after 1985

Answers

The profit function is simply the difference between the revenue function and the cost function. The profit function that models the yearly profit after 1985 is [tex]P(t) = 7t + 28[/tex]

Given that:

[tex]R(t) = t^2 + 7t + 159[/tex]

[tex]c(t) = t^2 + 131[/tex]

The profit function P(t) is calculated as follows:

[tex]P(t) = R(t) - c(t)[/tex]

So, we have:

[tex]P(t) = t^2 + 7t + 159 - (t^2 + 131)[/tex]

Open brackets

[tex]P(t) = t^2 + 7t + 159 - t^2 - 131[/tex]

Collect like terms

[tex]P(t) = t^2- t^2 + 7t + 159 - 131[/tex]

[tex]P(t) = 7t + 28[/tex]

Hence, the profit function that models the yearly profit after 1985 is [tex]P(t) = 7t + 28[/tex]

Read more about profit functions at:

https://brainly.com/question/11334756

i need a little bit of help.

Answers

Answer:

Top right corner.

Step-by-step explanation:

[tex]9.28+2x=18.14\\2x=8.86\\x=4.43[/tex]

Since x = 4.43, we want the point to be around halfway from 4 to 5 therefore the top right corner should be closest.

the answer is 4.43 so it’s gonna be the top right answer

Lawrence spent $1.89 on a bottle of paint and $0.45 on a brush. What was the total amount he spent? Use the model to help you.

Answers

The correct answer would be 2.34
Correct answer is $2.34

What is the inverse of multiplication?
(A) subtraction
(B) division
(C) addition
(D) multiplication

Answers

Answer:

b

Step-by-step explanation:

Answer:

b) division.

Hope it helps you....

There are 60,659 people under the age of 14 years old
There are 215,927 people age between 15 and 64 years old
There are 36,610 people over the age of 65 years old
What is the Old Age Dependency Ratio as a decimal rounded to
the Thousandths place?

Answers

Answer:

(2,800/1,500) * 100 = 187%

Step-by-step explanation:

1/7 x X =1
X x 1/11=1
1 divided by 1/5=

Answers

Answer:

x = 7x = 115

Step-by-step explanation:

[tex] \frac{1}{7} \times x = 1[/tex]

[tex]7 \times \frac{1}{7} x = 7 \times 1[/tex]

[tex]7 \times \frac{1}{7} x = 7[/tex]

[tex]\boxed{\green{x = 7}}[/tex]

◇◇•◇◇

[tex]x \times \frac{1}{11} = 1[/tex]

[tex] \frac{1}{11} x = 1[/tex]

[tex]11 \times \frac{1}{11} x = 11 \times 1[/tex]

[tex]11 \times \frac{1}{11} x = 11[/tex]

[tex]\boxed{\green{x = 11}}[/tex]

♤♤•♤♤

[tex]1 \div \frac{1}{5} = 1 \times \frac{5}{1} [/tex]

[tex]1 \times 5[/tex]

[tex] \boxed{\green{= 5}}[/tex]

You have 100 balls and 100 empty boxes. You need to put each of the ball randomly into one of the boxes, what is the expectation number of the number of empty

Answers

You will not have any boxes empty cause there are 100 boxes with 1 ball each equals 100

simplify this exponential expression

[tex]( \frac{1}{3} )^{2} [/tex]​

Answers

Answer:

Answer: 3^-2

Step-by-step explanation:

[tex]( \frac{1}{3} ) {}^{2} \\ \\ = \frac{ {1}^{2} }{ {3}^{2} } \\ \\ = {3}^{ - 2} [/tex]

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Evaluate the power

[tex]\frac{1^2}{3^2}[/tex]

Divide

[tex]\frac{1}{9}[/tex]

Evaluate (27)−1/3(27)−1/3×[271/3−272/3]​

Answers

Answer:

[tex](27) - \frac{1}{3} (27) - \frac{1}{3} \times ( \frac{271}{3} - \frac{272}{3} ) \\ \\ 27 - 9 - \frac{1}{3} ( \frac{ - 1}{3} ) \\ \\ 27 - 9 - ( - \frac{1}{9} ) \\ \\ 27 - 9 + \frac{1}{9} \\ \\ \frac{243 - 81 + 1}{9} \\ \\ = \frac{163}{9} = 18.1 = 18 \frac{1}{9} [/tex]

I hope I helped you^_^

40 x 3 x 100 ? What is the product

Answers

Answer:

12,000

Step-by-step explanation:

40*3 = 120

120*100 = 12,000

2x° 4xº


Find the value of x.​

Answers

2x + 4x = 90
6x = 90
x = 90 / 6
x = 15

Please help!! Due tm! NO LINK

Answers

Ans4

Step-by-step explanation:

Step-by-step explanation:

25 . f (-6) = 7

26 . f (0) = -2

27 . x = 2

28 . x = -4

Help me please I will give 20 points if you answer correctly!

Answers

Answer:

Step-by-step explanation:

Base = 8 * 8 = 64 square units

4 (8*6)/2 = 96 square units

64 + 96 = 160 square units

what does x=
please explain!

Answers

Answer:

x=37°

Step-by-step explanation:

2x°=74° (vertically opposite angles)

2x°/2=74°/2

x=37°

74° = 2x°

2x° = 74°

x° = 74° : 2

x° = 37°

Jennifer is saving money to buy a bike. The bike costs $261. She has $107 saved, and each week she adds $14 to her savings.

How long will it take her to save enough money to buy the bike?

It will take her ____ weeks to save for the bike.

Answers

Answer:

It will take her 11 weeks to save for the bike

Step-by-step explanation:

261 -107 = 154

154 /14=11

Which classification correctly describes the following number?
( /6 x /2)
a.
Irrational
Number
b.
Rational
Number

Answers

Answer:

a

Step-by-step explanation:

a rational number is a whole number

The actual distance between A and B is 960 metres.

a) Work out the scale on the map. Give your answer in the form 1:n

b) Work out the actual distance between A and C in kilometres. Your final line must say, AC = ... km
​

Answers

Answer:

Step-by-step explanation:

a. 960 / 4 = 240 for 1 grid

1/2 cm = 24000

1 : 48000

b. A to C

AC² = 3² + 6²

AC² = 9 + 36

AC²= 432 + 1728

AC² = 2160

AC = √2160 km

14 less than f
what is it?
​

Answers

f-14 because 14 less than a number means to subtract 14 from that number.

what is the sum of (3x^2y+4xy^2-2y^3+3) and (x^2y+2y^3-4)

Answers

Answer:

This is the sum --->  4x^2y + 4xy^2 - 1

Step-by-step explanation:

(3x^2y+4xy^2-2y^3+3) + (x^2y+2y^3-4)

(remove the parenthesis)

= 3x^2y + 4xy^2 - 2y^3 + 3 + x^2y + 2y^3 - 4    

(now, group the like terms)

= -2y^3 + 2y^3 + 4xy^2 + 3x^2y + x^2y + 3 - 4  

(add the elements you think are alike or similar)

= -2y^3 + 2y^3 + 4xy^2 + 4x^2y + 3 - 4              

=  4xy^2 + 4x^2y + 3 - 4  

= 4xy^2 + 4x^2y - 1

Answer:

the sum is  4x^2y + 4xy^2 - 1

I need a little help .??!??????????????????????

Answers

(e) it is the last one........


What is the height of a triangle with an area of 32 cm2
and a base of 8 cm?

Answers

Answer:

8 32  A for area and H for height

Step-by-step explanation:

Help what is the slope of the line?

Answers

9514 1404 393

Answer:

  8/5 = 1.6

Step-by-step explanation:

It looks like the line crosses grid points (-4, -4) and (1, 4). This means the slope is ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -(-4))/(1 -(-4)) = 8/5 = 1.6

The slope of the line seems to be about 8/5, or 1.6.

Solve for v in terms of s, t, and u.
S = U-t + V
V = what??

Answers

Answer:

[tex]v=s-u+t[/tex]

Step-by-step explanation:

Hi there!

[tex]s=u-t+v[/tex]

Our goal is to isolate v on one side of the equal sign.

Subtract u from both sides:

[tex]s-u=u-t+v-u\\s-u=-t+v[/tex]

Add t to both sides to isolate v:

[tex]s-u+t=-t+v+t\\s-u+t=v\\v=s-u+t[/tex]

I hope this helps!

Write and solve the equation to find the
value of x.
"The quotient of negative sixty and a
number x is four."
a) -60 * x = 4; x = 15
b) -60 / x = 4; x = -15
c) -60 * x = 4; x = -15
d) -60 / x = 4; x = 15

Answers

Answer:

C) -60/x = 4; x = -15

Step-by-step explanation:

-60 / x = 4-60 ÷ 4 = -15x = -15Checking:-60/x = 4-60/(-15) = 4

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Is -10/3 greater or less that the square root of -9

Answers

Step-by-step explanation:

The square root of -9 is greater than that

what might of been the population of vermont in 2008???

Answers

The answer is 624,151

Sorry if I'm wrong

Help!! (Edgar's midterm have two screenshot's)

Answers

Answer:

Step-by-step explanation:

2)

80 +67 +97+ 98 +85 +72 = 499

499/6=83.1666666667

Average: 83.1666666667

3)

a) 97 93 92 90 90 90 86 =90

median of Edgars grades for his midterm is 90

99 93 93 89 88 88 86

median of Edgars grades for his trimester is 89

7)

(z+9+18)= z+27 (remember don't mix the numbers if they are attached to the x)

(z+18+9)= z+27 (because adding is both ways the same)

a) a + b =b + a

Geometry

1.

a) 6x^2

b)The surface area of a cube = 6a^2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, x is just the length of one side of a cube

c) The unit would be sq(squared) feet

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