The line joining (3, p) to (7, –4p) is parallel to the line joining (–1, –3) to (3, 7). Find p.

Answers

Answer 1

Answer:

p = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (3, 7)

m = [tex]\frac{7-(-3)}{3-(-1)}[/tex] = [tex]\frac{7+3}{3+1}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex]

Parallel lines have equal slopes

Calculate the slope of the other 2 points and equate to [tex]\frac{5}{2}[/tex]

with (x₁, y₁ ) = (3, p) and (x₂, y₂ ) = (7, - 4p)

m = [tex]\frac{-4p-p}{7-3}[/tex] = [tex]\frac{-5p}{4}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )

- 10p = 20 ( divide both sides by - 10 )

p = - 2


Related Questions

two billion,twenty million,five hundred thousand,nine hundred

In number form

Answers

Answer:

the answer = 2,020,500,900

The function y=2.5x+3 can be used to determine the cost in dollars for a taxi ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles
A. $3
B. $1
C. $2.50
D. $5.50

Answers

Answer:

C. $2.50

Step-by-step explanation:

x=1 y=5.5

x=2 y=2.5

Answer:

y=2.5x+3

Compare to slope intercept form y=mx+b

Slope=m=2.5y intercept=b=3

Sl

Here the rate of change is $2.50

I need help ASAP plzzzz

Answers

The square
Root of 36 is just six
Square root of 36 is 6. The answer would be choice D. 6x6=36

plsss helpppp will mark brainliest!!

Answers

Answer:

D. 2¹⁵/4¹⁰

Step-by-step explanation:

(2³/4²)⁵ = 1/64

A. 2⁸/4⁷ = 1/128

B. 2⁵/4⁴ = 1/16

C. 2⁶/4⁶= 1/128

D. 2¹⁵/4¹⁰= 1/64

SO (2³/4²)⁵ = 2¹⁵/4¹⁰

Pleaseeeeeeeeeeeeeeeeeeee

Answers

Answer:

∠DAB = 68

Step-by-step explanation:

∠DAB we need to find this

∠DAB = ∠C (vertically opposite angles are equal)

∠DAB = 68

unit rate 18 people in 3 vans​

Answers

Answer:

6:1

Step-by-step explanation:

6 people per van

Answer:

6:1

Step-by-step explanation:

[17 - 7] × 6 + 2 + 56 - 8

Answers

Answer:

110

Step-by-step explanation:

[17 - 7] × 6 + 2 + 56 - 8

10 × 6 + 2 + 56 - 8

60 + 2 + 56 - 8

62 + 56 - 8

118 - 8

110

Answer:

110

Step-by-step explanation:

[17 - 7] × 6 + 2 + 56 - 8

(10) x 6 + 2 + 56 - 8

60 + 2 + 48

62 + 48

110

PLEASE HELP.I WILL MARK YOU BRAINLIEST

A baseball team won 16 games and lost 11. At this rate, how many games will it win in a 162-game schedule?

Answers

Answer:  96

==========================================================

Explanation:

The team won 16 games and lost 11 so far. At this point in the season, they played 16+11 = 27 games total. Their win rate is 16/27.

Set this equal to x/162 which is the win rate for winning x games out of 162 played over the entire season.

Solve for x.

x/162 = 16/27

27x = 162*16 ... cross multiplication

27x = 2592

x = 2592/27

x = 96

The team would win 96 games if it kept the same winning rate going.

Notice that 16/27 = 0.5926 = 59.26% and how 96/162 = 0.5926 = 59.26% as well (both are approximate). This helps confirm we have the correct answer.

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

Here's another slightly longer way to solve. If you prefer the first method above, then ignore this section.

w = number of games won over the entire 162 game season

162-w = number of games lost over the entire season

w/(162-w) = win to loss ratio

16/11 = win to loss ratio after winning 16 games and losing 11

Setting those last two expressions equal to each other and solving for w gets us...

w/(162-w) = 16/11

11w = 16(162-w)

11w = 2592-16w

11w+16w = 2592

27w = 2592 ... this hopefully looks a bit familiar from before

w = 2592/27

w = 96 games won

Profit is always calculated as revenue minus expenses. If a company's expenses were $10 million, write an equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars). Then, determine the profit when revenue is $25 million.

a. P= 10-R; $15 million
b. P=R-10; $15 million
c. P=R-10; $35 million
d. P=10-R$35 million
Please select the best answer from the choices provided​

Answers

Answer:  B

Step-by-step explanation:

P=R-$10MM

P = ($25MM)-$10MM

P = $15MM

Which graph represents the solution set to the system of inequalities?

{ y<−1/2x+2
y≥−3/2x+2

Answers

Answer:

The answer must be B because the rest are not possible.

Step-by-step explanation:

Evaluate using inverse operations...

9x + 8 = 27

Answers

Answer:

9x+8=27

9x=27_8

9x=19

9 9

x=2.111111111111

Answer:

2.111

Step-by-step explanation:

27-8=19

9x÷19

x=2.1111

5x -4= 4x please help me

Answers

[tex]5x-4=4x\\\\5x-4x=4\\\\\huge\boxed{x=4}[/tex]

Answer:

4=x

Step-by-step explanation:

5x-4=4x

-4=-x

4=x

Solve 2 + 1/6y = 3x + 4 for y.

Answers

The answer is y=18x+12

_______is the process of paying off a debt with regular fixed payments.

Answers

AMORTIZATION is the process of paying off a debt with regular fixed payments

Convert 120 Ibs to kilograms

Answers

Answer:

54.431 kilograms

Step-by-step explanation:

don't have step by step but 1kg is 2.205lbs

tan(x+22)= -[tex]\sqrt{3}\\[/tex]

Answers

Answer:

what tye of question is it you don't know asking queastio


Tom drives at a steady speed covering 1 mile every minute. He comes to a
section of road where the speed limit is 50 mph.
Is he over the speed limit? Give a reason for your answer.

Answers

Answer:

Yes he is over the speed limit.

Step-by-step explanation:

1 mile per minute * 60 minutes (1 hour) = 60 miles per hour

60 > 50

find the measure of the angle that is 12° more than two times its supplement

Answers

Answer:

56 and 124

Step-by-step explanation:

Sum of two supplementary angle = 180

Let the first angle be x

Second angle = 2x + 12

2x + 12 + x = 180

3x + 12 = 180

3x = 180 - 12

3x = 168

x = 168/3

x = 56

2x + 12

2(56) + 12

112 + 12

124


Generalize Use words to describe the following sequence. Then find
the next three numbers in the sequence.
49, 64, 81, 100, ...
...
HELP. PLZ. SOMEONE.

Answers

It's using 7x7, 8x8, etc so the answers are 121 since 11x11 and 144 since 12x12

How to solve -7+7s-3s-5-6-5s

Answers

Question:-

How to solve -7+7s-3s-5-6-5s

Answer:-

→ -7+7s-3s-5-6-5s

→ -7 -5 -6 + 7s-3s-5s

→ -18 - 1s

The answer is -18-1s

What’s 3-5*2x+79/ 3 12/14 =

Answers

Answer: −10x+23 13/27

Step-by-step explanation: -(5)(2x)                                                                             -10x                                                                                                                                    3+79/ 3 12/14                                                                                                               3+ 79 / 3  6 /7                                                                                                                        3+ 79 / 27 /7                                                                                                           3+ 553 /27                                                                                                               634 /27                                                                                                                           23  13 /27                                                                                                                   −10x+23 13/27                      

                                                                                                                     

how to convert quinary into binary numbers​

Answers

Answer:

Step-by-step explanation:

how to convert quinary into binary numbers​?

If this means x in base 5 is equal to y in base 2

You just have to divide in base 5 by 2

Let's take an example.

[tex](14)_5= (? )_2\\\\\begin{array}{c|c}14&1\\4&0\\2&0\\1&1\\0\\\end {array}\\\\\\\\[/tex]

[tex]Read\ from\ down\ to\ up ==> 1001\\\\[/tex]

[tex]Explanation:\\(14)_5=1*5+4=9\ in\ base\ 10\\\\[/tex]

[tex]in\ base\ 5\\4*2=13 \\14=4*2+1\\4=2*2+0\\2=1*2+0\\1=0*2+1\\[/tex]

[tex]So\ (14)_5=(1001)_2\\[/tex]

pls some help im so stuck im stuck as a cat in a tree dude plz help i
ill give u 100 pointes

Answers

Answer:

It's the positive i, no matter what i is equal to.

If a student didnt turn an assignment in on the 27th of august, and the teacher deducted 10 percent each day. How much credit would they get if they turned it in on the 1st of september?

Answers

Answer:

i have no idea

Step-by-step explanation:

Answer:

credit of 60= lost 40  points

Step-by-step explanation:

31-27= 4

I need the answer to this question

Answers

Answer:

y = 3/4x + 19/2

Step-by-step explanation:

m = 3/4. point (-6,5)

Point slope form:

y-5=3/4(x- -6)

y -5 = 3/4x + 18/4. 18/4 = 9/2

Y = 3/4x + 9/2 + 5. 5 times 2 plus 9 over 2 = 19/2

y = 3/4x + 19/2

I need help with #21 ASAP.. I need to get it done…. Show step by step please help me with it.. I need to get it done tonight it is passed due

Answers

Step-by-step explanation:

21.

1, 2, 4, 8, 16, 31, ... , ....

by using the formula, we can find :

T7 = [7⁴ - 6(7)³ +23(7)² - 18(7) +24] / 24 =

(2401 - 2058 + 1127 - 126 +24) / 24 =

1368/ 24 = 57

T8 = [8⁴-6(8)³+23(8)²-18(8)+24]/24 =

(4096-3072+1472-144+24)/24 =

2376/ 24 = 99

Solve the equation:
5 + 4x - 7 = 4x - 3-X

Answers

Answer:

1 = -x

Step-by-step explanation:

group like terms together so

this 5 + 4x - 7 = 4x -3 - x

becomes this 5 - 7 + 3 = 4x -4x -x

then simplify     1 = - x  

Decide!!!!!!!!!!!!!!

Answers

Answer:

547

Step-by-step explanation:

The minute hand hits the 0 minute once each hour. This results each hour to become 61 minutes.

Number of hours from Monday 00:01 to Friday 07:30 is 4*24 + 7.5 = 103.5

Extra time considering defective clock (full hours):

103 minutes = 1 hr and 43 min

Alarm to be set at:

07:30 - 1:43 = 6:00 - 0:13 = 05:47

The answer is:

5*100 + 47 = 547

Probability maths Please help

Answers

Answer:

it means maybe or either

(20 points)I need help please

Answers

[tex]\text{Suppose the width of the rectangle is }x\text{ cm}[/tex]

[tex]\text{then the perimeter can be expressed as}[/tex]

[tex]2(24+x)=72[/tex]

[tex]24+x=36[/tex]

[tex]x=12[/tex]

[tex]\text{Therefore the area of the rectangle is }24\cdot x=24\cdot 12=288\text{ cm}{}^2[/tex]

Answer: Solution,

length (l) = 24 cm

perimeter (p)= 74 cm

Area (A) = ?

we know,

P = 2(l + b )

74 = 2( 24 + b)

74 = 48 + 2b

2b = 74 - 48

2b = 26

b= [tex]\frac{26}{2}[/tex]

b = 13

now,

A = l*b

   = 24 * 13

   = 312 cm square

Therefore, the area of the rectangle is 312 cm square.

Other Questions
How to solve -7+7s-3s-5-6-5s 10 points3. Documentation should be clear, concise, accurate, and in accordancewith accepted policies of your organization and should include all thefollowing except:Emerg Stephanie discovered that her green eyes were inherited from her great-grandmother by her father. hereditary hereditary hereditary No change necessary. I need help with #21 ASAP.. I need to get it done. Show step by step please help me with it.. I need to get it done tonight it is passed due Which action is not acceptable when formatting the title of the works cited page? centerB plurarlize underlineD capitalizePlease select the best answer from the choices provided la naranja es color o fruta Help me guysssss I need help what is3. {Review} 8 x 9 = *4. {Review} 12 x 4 = *5. {Review} 7 x 8 = *6. {Review} 6 x 3 = *7. {Review} 9 x 5 = *8. {Review} 6 x 8 = *9. {Review} 27 3 = *10. {Review} 36 6 = *11. {Review} 132 12 = *12. {Review} 110 11 = *13. {Review} 28 4 = *14. {Review} 35 7 = * Profit is always calculated as revenue minus expenses. If a company's expenses were $10 million, write an equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars). Then, determine the profit when revenue is $25 million. a. P= 10-R; $15 million b. P=R-10; $15 million c. P=R-10; $35 milliond. P=10-R$35 millionPlease select the best answer from the choices provided List all the elements of the following set. Use set notation and the listing method to describe the set. { 2,4,8,...,256} Consider the function f whose graph is shown below. Find f(-2) Determine which of the given points are on the graph of the equation.Equation: x + y2 = 2Points: (1, -1), (-1,0), (1,1)Which of these points are on the graph of the equation? Select all that apply.A. (1, -1)B. (1,1)C. (-1,0)D. None of the points are on the graph. [17 - 7] 6 + 2 + 56 - 8 (20 points)I need help please Suppose now the file is broken up into 1000 packets with each packetcontaining 4,000 bits. Suppose that each packet is acknowledged by thereceiver and the transmission time of an acknowledgement packet isnegligible. Finally, assume that the sender cannot send a packet until thepreceding one is acknowledged. How long does it take to send the file? what do the environmental issues experienced by the Japan tell us about its overall level of development? Place the events into the correct chronological order. 1.Boston Tea Party2.meeting of the First Continental Congress3.passage of the Intolerable Acts4.Boston Massacre Exercise 3: Identify the compound nouns in these sentences. The models walked on the runway.The meatballs made by my sister-in-law were delicious.The candidates for vice-president are Kamala Harris and Mike Pence.My nephew does tricks on his skateboard.There is a big farmers market on Sunday at the courthouse. Four times the sum of twice a number and -3 is less than times that same number Evaluate using inverse operations...9x + 8 = 27