Find the parallel and perpendicular slope of a line if linear equation is 7y=20(x-3) Slope (Parallel) is ____ Slope (Perpendicular) is _____​

Answers

Answer 1

Answer:

The parallel line has slope [tex]\frac{20}{7}[/tex]

The perpendicular line has slope [tex]-\frac{7}{20}[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope.

Parallel lines:

Parallel lines have the same slope.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

We have the following line:

[tex]7y = 20(x-3)[/tex]

Placing it in the general format

[tex]7y = 20x - 60[/tex]

[tex]y = \frac{20x}{7} - \frac{60}{7}[/tex]

So this line has slope [tex]\frac{20}{7}[/tex]

Parallel line:

Same slope, so the parallel line has slope [tex]\frac{20}{7}[/tex]

Perpendicular line:

Multiplication of the slopes is -1. So

[tex]\frac{20m}{7} = -1[/tex]

[tex]20m = -7[/tex]

[tex]m = -\frac{7}{20}[/tex]

The perpendicular line has slope [tex]-\frac{7}{20}[/tex]


Related Questions

Heeelllllpppp due Monday I give I suck at math??

Answers

Answer:

13.125

Step-by-step explanation:

Since the triangles are congruent, you would get the equation 4z-7=11z-112.

Then, you would subtract 4z from each side, leaving behing -7=8z-112. Then, you would add 112 to each side, getting 105=8z. Divide both sides by 8, and your answer is z=13.125

A researcher is testing a new painkiller that claims to relieve pain in less than 15 minutes, on average.a.State the hypotheses associated with the researcher's test. (2 points)

Answers

Answer:

I have a feeling it won't be exactly 15 minutes but it'll be around that time, if it's true.

Step-by-step explanation:

WILL give brainleist to the right answer

Answers

Yiu seem to have correct answer which is D

what is the square root of 430

Answers

Answer:

√430 or 20.74

Step-by-step explanation:

√430

Prime factorize 430

√2 · 5 · 43

There are no pairs to take out of the root, so the most simplified form of √430 is √430.

If you want the decimal form, it is 20.74

Please mark me Brainliest :)

Dante has been putting one penny in his bank every day. Now he has 161 pennies. For how many weeks has Dante been adding pennies to his bank?

Answers

Answer:

23 weeks because the penny is 161 and u dividing 161 by 7 because 1week hace 7 days and calculate 161÷7=23

the answer is 23 week

Please help me I will offer 20 points

Answers

Answer:

9.3 x 8.5 = 79.05

7.6 x 2.4 = 18.24

an easier way to multiply decimals is to take away decimals and add later

example: 9.3x8.5 > 93x85 = 7905 since there are two places behind the decimal add that many to the solution 7905 > 79.05

can someone please help

Answers

143.33 or 1719.96x I’m not sure but hope dat helped

I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!

Answers

Answer:

Your image wont load IM SO SORRY:(

Step-by-step explanation:

Please help meee...........

Answers

Answer:

to be honest this was hard and even I don't know it but I will give it a shot so I guess you divide or sub I don't know 804 divide by 150? then round your answer to the nearest 10th degree. if this is wrong I deeply apologize

For what value of a does
9 = (1/27) a+3

Answers

Answer: a = 162

Step-by-step explanation:

Answer:

a=162

Step-by-step explanation:

when the pitcher throws the ball it will travel 10 meters per second how long will it take for the ball to reach the hitter?



part 2

the hitter hits the ball back to the pitcher, the pitcher catches it it takes one second for the ball to reach the pitcher how fast was the ball traveling?

Answers

Answer: travel speed is = 10 m/sec

so for 20 meter = 20/10 = 2 sec

 

Step-by-step explanation:

chealsea wants to rearrange her room

Answers

Answer:

Good for her.

Answer:

ok wheres the question

Step-by-step explanation:

Simplify -6(a +8) can someone help me with that with the steps included

Answers

Answer:

−6(a+8)

=(−6)(a+8)

=(−6)(a)+(−6)(8)

=−6a−48

Step-by-step explanation:

multiply -6 x a to get -6a and multiply -6 x 8 to get -48 so -6a-48

One year, the population of a city was 160,000. Several years later it was 140,800. Find the percent decrease.

Answers

Answer:

Percent decrease in population = 12%

Step-by-step explanation:

Given that:

Population of city = 160,000

Population of city after several years = 140,800

Difference= 160000 - 140800 = 19200

Percent decrease = [tex]\frac{Difference}{Population} * 100[/tex]

Percent decrease = [tex]\frac{19200}{160000}*100[/tex]

Percent decrease = 0.12 * 100

Percent decrease = 12%

Hence,

Percent decrease in population = 12%



Part A

The length (l) of a rectangular box is 5 centimeters more than twice its width (w).

Write an equation to represent the length of the rectangular box.

Part B

Find the length of the box if its perimeter is 100 centimeters.

Answers

Answer:

length of rectangular box = 2[w] + 5

length of rectangular box = 35 cm

Step-by-step explanation:

Given:

length (l)

width (w)

Perimeter = 100 centimetre

Computation:

Part A;

length of rectangular box = 2[width] + 5

length of rectangular box = 2[w] + 5

Part B;

Perimeter = 2[l+w]

100 = 2[2w + 5 + w]

100 = 6w + 10

w = 15 cm

length of rectangular box = 2[w] + 5

length of rectangular box = 2[15] + 5

length of rectangular box = 35 cm

B. Mason put sticky notes on some pages of his math book. The page numbers form this sequence: 3, 5, 8, 13, 21, 34, ... Describe the rule for the sequence.

Answers

Answer:

It goes up one number counting each time

Step-by-step explanation:

3 4 5  2 one cap

5 8 13   two cap

please help asap !!

Answers

the answer is 5/12....

i think thats correct

The answer is 5/12 or A

Solve the system by graphing. Tell whether the system has one solution, infinitely many solutions, or no solution.
y-x=4
2y=2x + 8

Answers

infinitely many solutuinsAnswer:

Step-by-step explanation:

Jenna is at a fair with four friends. They all want to ride the roller coaster, but only three people can fit in a car. How many different groups of three can the five of them make

Answers

Answer:

They can make 10 different groups of three.

Step-by-step explanation:

The order in which the people are in the car is not important, so we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many different groups of three can the five of them make?

Combinations of 3 from a set of 5. So

[tex]C_{5,3} = \frac{5!}{3!(5-3)!} = 10[/tex]

They can make 10 different groups of three.

The question in the picture

Answers

Answer: he should also add that the sides are the same and the shapes look same

Step-by-step explanation:

it looks very same though, how is it different?

Select all the expression that have a value greater than 1,653​

Answers

Step-by-step explanation:

* 1,653 x 4 = 6612

* 1,653 x 13 = 21489

* 1,653 x 1 1/2 = 2479.5

I hope it helps.

An elevator can carry up to 2500 pounds. Suppose the weight is 150 pounds. At most how many average-sized adults can safely ride the elevator at the same time? Write an inequality and solve. Let p represent the number of people who can safely ride the elevator.

Answers

Answer:

How much do the adukts weigh?

Step-by-step explanation:

In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standard deviation of 4 minutes. The slowest quarter of customers will require longer than how many minutes (to the nearest tenth) for a simple haircut?

Answers

Answer:

Longer than 27.7 minutes.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 25, \sigma = 4[/tex]

The slowest quarter of customers will require longer than how many minutes (to the nearest tenth) for a simple haircut?

Longer than the 100 - 25 = 75th percentile of times, which is X when Z has a pvalue of 0.75. So X when Z = 0.675. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 25}{4}[/tex]

[tex]X - 25 = 4*0.675[/tex]

[tex]X = 27.7[/tex]

So

Longer than 27.7 minutes.

Which of the following is the product of the rational expressions shown below ? (x + 3)/(x + 2) * (x - 3)/(x - 2)

Answers

Answer:

Option D : [tex]\frac{x^2-9}{x^2-4}[/tex] is the correct answer.

Step-by-step explanation:

Given rational expression is:

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

In the first step of solving the rational expression, we will multiply the nominators and denominators.

[tex]\frac{(x+3)(x-3)}{(x+2)(x-2)}[/tex]

[tex]\frac{x^2-3x+3x-9}{x^2-2x+2x-4}[/tex]

Now we will solve the alike terms.

[tex]\frac{x^2-9}{x^2-4}[/tex]

The product of rational expression is [tex]\frac{x^2-9}{x^2-4}[/tex]

Hence,

Option D : [tex]\frac{x^2-9}{x^2-4}[/tex] is the correct answer.

Answer:

option D

Step-by-step explanation:

Ap3x

PLEASE HELP ME PLEASE​

Answers

a. {2,4,6,8} as the domain is the x values

The following triangles are similar. Find x

Answers

Answer:

15

Step-by-step explanation:

if 3x3 is 9 and 4x3 is 12 then 5x3 is 15

I GIVEE BRAINLILSTTTT6TTTT

Answers

Answer:

,mbn ,bmnbb

Step-by-step explanation:

nnbn bn bn

(a) Which of the following surveys probably would best represent the entire
population of seniors?
50 student council members are randomly selected; 44 plan to go to a 4-year
college.
O 50 seniors are randomly selected; 34 plan to go to a 4-year college.
50 honor roll students are randomly selected from the senior class; 42 plan to
go to a 4-year college.

Answers

Answer:

c

Step-by-step explanation:

i took the quiz

Grace scored n points in her first basketball game of the season. She scored 8 more points in her second game than in her first, 3 fewer points in her third game than in her second, and 11 more points in her fourth game than in her third, scoring a total of 25 points in her fourth game. How many points did Grace score in her first game?

Answers

Answer:

Grace scored 9 points in her first game.

Step-by-step explanation:

In her first game, she scored n points.

She scored 8 more points in her second game than in her first

So n + 8.

3 fewer points in her third game than in her second

So n + 8 -3 = n + 5

11 more points in her fourth game than in her third

n + 5 + 11 = n + 16

A total of 25 points in her fourth game.

This means that:

n + 16 = 25

n = 9

So

Grace scored 9 points in her first game.



In a certain triangle two sides have lengths 5 and 13. The angle between them is 49

degrees. What is the area of the triangle?

Answers

Answer:

Area = 24.54

Step-by-step explanation:

two sides have lengths 5 and 13.

Let the two sides be;

a = 5

b = 13

The angle between them is 49

C = 49°

Let the third side be c

Thus, using cosine rule, we can find the side c.

c² = a² + b² - 2ac•Cos C

Plugging in the relevant values, we have;

c² = 5² + 13² - 2(5 × 13)Cos 49

c² = 25 + 169 - 130(0.6561)

c² = 108.707

c = √108.707

c = 10.43

Since we now have 3 sides, from herons formula, we can find the area;

Area = √[p(p − a)(p − b)(p − c)]

Where p is half of the perimeter = (a + b + c)/2 = (5 + 13 + 10.43)/2 = 14.215

Thus;

Area = √(14.215(14.215 - 5)(14.215 - 13)(14.215 - 10.43))

Area = √602.4

Area ≈ 24.54

Other Questions
2) Solve each problem with right angle at C:.a) Find all sides and angles when B = 67 and c=16.b) Find all sides and angles when b= 2 and c=6 Select the correct answers.Identify the clean sources of energy. 7x + 2 + 2x - 1 = 91 please help me on this may someone pls help me. i kinda really could use some help How many electrons can the n = 4 shell hold? A standard deck of 52 cards contains 4 suits: hearts, clubs, diamonds, and spades. Each suit contains cards numbered 2 through 10, a jack, a queen, a king, and an ace. Jacob Bearint decides to pick one card at random from a standard deck of 52 cards. What is the probability that the card Jacob chooses is either a four or a six? P ( 4 6 ) = PLEAAASSEEE HELP THIS IS DUE RIGHT NOW, Im giving EXTRA POINTS if youre right PLUS A BRAINLIEST!!! Please help.!!! Which expression can you use to find the total price of 5 concert tickets(from Iready) what position does the point author take in the debate over reality tv? cite two pieces of evidence from the point essay to support your answer. Reality tv and society What are the coordinates of the vertices of triangle D E F Katy finished 1/3 of herbag of Halloweencandy in 3 daysHow much of a bag doesshe eat in one day? answer and how you got the answer please.. pls solve ty if u do!! :) What is the volume of this cube help pl I need it fast what is the answer to pie?SOMEONE HURRY AND ANSWER!!! :3 tysm!im so confused like FOR REAL.... *brain fart* As part of a science experiment, a student observes the growth of a population of bacteria in four different media. The table below lists the observations the student made. Medium 1 Observation Population increases by 10 every hour Population decreases by 10 every hour Population increases by 10% every hour Population decreases by 10% every hour TIL IV In which media can the change in the population of bacteria be modeled by a linear function? Although Freedom of Religion is clearly stated in the Bill of Rights, American public schools continued to guide instruction using which religion exclusively?A. JudaismB. CatholicismC. IslamD. Protestan Christianity WHAT ARE THE DANGERS OF ALCOHOL ABUSE? WHAT DO YOU THINK IS THE WORST THING YOU WILL AVOID BY NOT DRINKING AND WHY?Based on this article,what do you think is the worst thing you will avoid by not drinking alcohol ? A single gold atom has a mass of 197.0 amu. How many gold atoms are in a cube of gold that is 10.0 mm on each side (about the size of a sugar cube) if the density of gold is 19.3 g/cm3