(20,-8); 7x - 4y = -5

Answers

Answer 1

The question is incomplete.

However, from the given parameters, a likely question could be to:

1. Write an equation in slope intercept form through (20,-8) and is parallel to 7x - 4y = -5

or

2. Write an equation in slope intercept form through (20,-8) and is perpendicular to 7x - 4y = -5

Answer:

See Explanation

Step-by-step explanation:

First, we calculate the slope of [tex]7x - 4y = -5[/tex]

[tex]7x - 4y = -5[/tex]

Subtract 7x from both sides

[tex]7x-7x - 4y = -5-7x[/tex]

[tex]- 4y = -5-7x[/tex]

Make y the subject

[tex]\frac{- 4y}{-4} = \frac{-5-7x}{-4}[/tex]

[tex]y = \frac{-5-7x}{-4}[/tex]

[tex]y = \frac{5+7x}{4}[/tex]

[tex]y = \frac{5}{4}+\frac{7}{4}x[/tex]

[tex]y = \frac{7}{4}x+\frac{5}{4}[/tex]

The general format of an equation is:

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

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = \frac{7}{4}[/tex]

Solving (1): Parallel

Here, we assume that the line is parallel to the given equation.

And as such, it means that they have the same slope

So, we have:

[tex](x_1,y_1) = (20,-8)[/tex]

and

[tex]m = \frac{7}{4}[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - (-8) = \frac{7}{4}(x - 20)[/tex]

[tex]y +8 = \frac{7}{4}(x - 20)[/tex]

Open bracket

[tex]y +8 = \frac{7}{4}x - \frac{7}{4}*20[/tex]

[tex]y +8 = \frac{7}{4}x - 7*5[/tex]

[tex]y +8 = \frac{7}{4}x - 35[/tex]

Make y the subject

[tex]y = \frac{7}{4}x - 35-8[/tex]

[tex]y = \frac{7}{4}x -43[/tex]

Solving (2): Perpendicular

Here, we assume that the line is perpendicular to the given equation.

And as such, it means that the following relationship exists between their slope:

[tex]m_2 = -\frac{1}{m_1}[/tex]

Where

[tex]m_1 =m =\frac{7}{4}[/tex] -- as calculated above

Substitute 7/4 for m1 in [tex]m_2 = -\frac{1}{m_1}[/tex]

[tex]m_2 = -\frac{1}{7/4}[/tex]

[tex]m_2 = -\frac{4}{7}[/tex]

So, we have:

[tex](x_1,y_1) = (20,-8)[/tex]

and

[tex]m_2 = -\frac{4}{7}[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - (-8) = -\frac{4}{7}(x - 20)[/tex]

[tex]y +8 = -\frac{4}{7}(x - 20)[/tex]

Open bracket

[tex]y +8 = -\frac{4}{7}x + \frac{4}{7}*20[/tex]

[tex]y +8 = -\frac{4}{7}x + \frac{80}{7}[/tex]

Make y the subject

[tex]y = -\frac{4}{7}x + \frac{80}{7}-8[/tex]

[tex]y = -\frac{4}{7}x + \frac{80-56}{7}[/tex]

[tex]y = -\frac{4}{7}x + \frac{24}{7}[/tex]

Take LCM

[tex]y = \frac{-4x + 24}{7}[/tex]


Related Questions


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y = 5x
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Answer:

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plz mark me as brainlist and also follow me

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Answer:

22m+42 is the answer

Step-by-step explanation:

All you have to do is simplify and add the common factors.

What should be done to both sides of the equation in order to solve n/4 = -12.4?
A. Multiply by 4.
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Answers

Answer:

I think is The little (D) -12.4.

Order the set {-4 1/2 , 5.6, -2 3/8, and 1.35} from least to greatest. I already got my answer i just want to make sure since im studing for a test. Thank you!

Answers

Answer:

-4 1/2, -2 3/8, 1.35, 5.6

Step-by-step explanation:

Imagine the numbers are plotted on the number line.

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if tan=5/12 what is sin​

Answers

Answer:

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Step-by-step explanation:

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Meera paid $240 for 4 pairs of shoes and 4 pairs of
shorts. Each pair of shoes cost 4 times as much as a pair of
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Answers

Pair of shorts costs $12. Shirt costs $48.
Difference between the two is $36.

Answer:

Difference between the two is $36.

Step-by-step explanation:

Pair of shorts costs $12. Shirt costs $48.

48-12=36

the radius of a bubble increases by 4%. Calculate the percentage increase in its (a) surface area (b) volume (to three significant figures )​

Answers

Answer:

Step-by-step explanation:

Given that the radius of a bubble increases by 4%.

Let r be the radius of the spherical bubble, so the new radius of the sphere

[tex]R= r+0.04r = 1.04r\cdots(i)[/tex]

(a) Surface area of the bobble,

[tex]s=4\pi r^2[/tex]

So, the rate of increase of surface area = [tex]4\pi R^2 -4\pi r^2= 4\pi(R^2-r^2)[/tex]

The percentage change in the surface area [tex]= \frac {4\pi(R^2-r^2)}{4\pi r^2}\times 100[/tex]

By using equation (i)

The percentage change in the surface area = [tex]\frac {(1.04r)^2-r^2}{ r^2}\times 100[/tex]

[tex]=(1.04^2-1)\times 100[/tex]

=8.160%

Therefore, the percentage change in the surface area is 8.160%

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So, the change in the volume = [tex]4/3 \pi R^3-4/3 \pi r^3[/tex]

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Therefore, the percentage change in the volume is 12.486%.

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Answers

Answer:

2.50C +5.00A=95

Step-by-step explanation:

In this equation, C represents the number of children attending and the A represents the amount of adults attending.

Point B is in quadrant _____ And point D is in quadrant _____ (PLZ HELP ASAP!!!!!)

Answers

Point B is in quadrant || and point D is in quadrant |V

Answer:

point B is in quadrant I and point D is in quadrant II

Step-by-step explanation:

Chad and Eric left a 20% tip after having lunch at a restaurant. Chad's lunch cost $10.

Which equation can you use to find x, the cost of Eric's lunch?

Group of answer choices

A) 0.2(x + 10) = 5

B) 0.2x = 10 + 5

C) 0.2x + 5 = 10

D) 0.2x + 10 = 5

Answers

Answer:

The equation used to find x, the cost of Eric's lunch is [tex]\mathbf{0.2(x+10)=5}[/tex]

Option A is correct option.

Step-by-step explanation:

Chad and Eric left a 20% tip after having lunch at a restaurant.

Cost of Chad Lunch = $10

Let Cost of Eric's lunch = x

So, Total cost of Chad and Eric's Lunch = x+10

Now, they left a 20% tip

it means 20% of total cost of lunch

20% can be written as 0.2

So, 0.2 of total cost of lunch is tip of the meal

We can write: 0.2 of (x+10)

or 0.2(x+10)

Looking at options, considering $5 was the amount of tip, the final equation will be:

[tex]0.2(x+10)=5[/tex]

So, the equation used to find x, the cost of Eric's lunch is [tex]\mathbf{0.2(x+10)=5}[/tex]

Option A is correct option.

If the diameter of the following circle is tripled, which of the following expressions could be used to find the area of the
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18 in
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31113.04 in
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Answers

Answer:

my answer is a bit different but kinda similar ig.

254.34in^2

Step-by-step explanation:

Radius = Diameter/2          18/2 = 9

Area of circle= pi(3.14) x r^2

A= (3.14) x 9^2

A= (3.14) x 81

A= 254.34in^2

Answer:

I can confirm that the answer is 3(254.34 in.2). I did it on Odyssey

Step-by-step explanation:

Ms.chin asked her students to use the properties of multiplication to rewrite the expression

Answers

And that’s what the children should do
I don’t understand what you are trying to say?

Please solve this
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indicial equations

Answers

Answer:

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A radio station charges an initial fee for broadcasting advertisements plus a rate based on the length of the advertisement in seconds. The table below shows the total charges for advertisements of different lengths.

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b. c=4n+120
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p.s graph is attached

Answers

Answer:

It's a.

Step-by-step explanation:

15s*3+180=225

30s*3+180=270

60s*3+180=360

30s*3+180=270

Brenda makes $95,000 per year.
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c. What percent of taxes does Brenda have taken off her cheque? Round to the
nearest decimal place.

Answers

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An ice hockey team is considering changing their team name and mascot and would like to measure city support for the change. Which of the following methods would not provide a voluntary response sample?

Answers

Answer:

b

Step-by-step explanation:

because there only allowing the first 50 to register that would be a contest

The method which would not provide voluntary response is that at one of the team games, a person surveys the first 50 people who arrived at the game. Hence, option B is correct.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given information in the question,

An ice hockey team is changing their team name as well as the mascot and would like to measure city support for the change to the method which would not provide a voluntary response sample is that at one of the team games, a person surveys the first 50 people who arrived at the game.

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Ashad is rewriting the expression 28 a + 36 a b as a product. Which statements about the expression are accurate and relevant to his rewriting the expression? Select three options.
The GCF of the numbers in each term in the expression is 2.
The GCF of the numbers in each term in the expression is 4.
The GCF of the variables in each term in the expression is a.
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The factored form of the expression is 4 a (7 + 9 b).

Answers

Answer:

Step-by-step explanation:

(28a+36ab)

you are purchasing a subscription to spotify premium.the subscription costs 15$ per month what's the dependent variable and independent variable

Answers

Answer:

$15 dependant variable, month is the independent variable

9 please help! please only real answers; will report

Answers

Given:

The function is

[tex]f(x)=\log_5(x)[/tex]

To find:

The graph of the given function.

Solution:

We have,

[tex]f(x)=\log_5(x)[/tex]

At x=1,

[tex]f(1)=\log_5(1)[/tex]

[tex]f(1)=0[/tex]        [tex][\because \log_a(1)=0, a>0][/tex]At x=5,

[tex]f(5)=\log_5(5)[/tex]

[tex]f(5)=1[/tex]      [tex][\because \log_aa=1][/tex]

So, the graph of given function passes through the points (1,0) and (5,1). Only graph in option A passes through these two points.

Therefore, the correct option is A.

Review the proof. Which step contains an error
Step 2
Step 4
Step 6
Step 8

Answers

Answer: step 4

Step-by-step explanation:

Error in the proof starts with the first mistake done. The erroneous step in the proof is given by: Option B: Step 6.

How does sign changing works?

Sign changing in equation does by multiplying -1 on both the sides.

So, if we had [tex]a + b = c[/tex]

Then, its signs are changed as:

[tex]-1(a + b) = -1 \times c\\-a -b = -c[/tex]


For the given case, the mistake occurred during transition from step 5 to step 6. Step 6 is wrong as when sign was changed, sin of cos(θ) remain same, which makes step 5 and step 6 not equal to each other.

The correct proof would be like:

[tex]\rm \cos(2x) = 1- 2\sin^2(x)\\Let\: 2x = \theta\\\\Then: x = \dfrac{\theta}{2}\\\\\cos(\theta) = 1 - 2\sin^2(\dfrac{\theta}{2})\\-1 + \cos(\theta) = -2\sin^2(\dfrac{\theta}{2})\\\\1 - \cos(\theta) = 2\sin^2(\dfrac{\theta}{2})\\\\\dfrac{1-\cos(\theta)}{2} = \sin^2(\dfrac{\theta}{2})\\\\\sin(\theta) = \pm \sqrt{\dfrac{1-\cos(\theta)}{2} }[/tex]

Thus, the erroneous step in the proof is given by: Option B: Step 6.

Learn more about trigonometric functions here:

https://brainly.com/question/22599614

For the function shown below, find f(2): f(x)=2x^4-8x^2+5x-7

Answers

Answer:

F(2)=3

Step-by-step explanation:

I need help fast thanks

Answers

-18x-12=4
Iam not sure if that’s what you want but basically I multiplied the numbers inside the bracket by -6

The numbers from 1 to 150, inclusive, are placed in a bag and a number is randomly selected from the bag. What is the probability it is not a perfect power (integers that can be expressed as $x^{y}$ where $x$ is an integer and $y$ is an integer greater than 1. For example, $2^{4}

Answers

Answer:

139/150

Step-by-step explanation:

Let's make a list of the perfect squares.

1 4 9 16 25 36 49 64 81 100 121 144

The probability that one of these is drawn is 12/150 = 4/50 = 2/25

Take out 1. So that means there are 11 perfect squares.

11/150 are your chances of getting a perfect square.

1 - 11/150 = 139/150 that you will not get a perfect square.

I would have included 1 in the perfect squares, but the question says not to so you can't.

If the question did not mean that 1 should be excluded, then the answer is 23/25

Find x. x2 = 576.


pls pls pls help

Answers

Answer:

x=24 or x= −24

Step-by-step explanation:

Step 1: Take square root.

x = ± √576

x=24 or x= −24

what is a multiple? I forgot.

Answers

Times it is times lol

Answer:

A multiple is the product result of one number multiplied by another number.

Step-by-step explanation:

Multiples are what we get after multiplying the number by an integer (not a fraction).

Example:

3 × 4 = 12, so 3 and 4 are factors of 12.

Hope this helps!

have a great day/night :D

Find the sum.
(5p+11) + (8p- 4)
A. 5p+7
B. 13p-7
C. 13p+7
D. 13p+15
AP3X

Answers

Answer:

[tex](5p + 11) + (8p - 4) \\ = ( 13p + 7)[/tex]

C. (13p+7) is the right answer.

Bus A leaves the station every 30 mins bus b leaves the station every 20 mins at 10 am both buses leave the station together work out the next time both buses leave at the same time

Answers

Answer: 11am

Step-by-step explanation:

To solve this, we have to calculate the lowest common multiple of 20 and 30. This will be:

20 = 20, 40, 60, 80, 100

30 = 30, 60, 90, 120, 150.

Here, the lowest common multiple is 60.

Therefore, we add 60 minutes to 10am. This will be:

= 10am + 1 hour

= 11 am

The next time that both buses leave at the same time would be 11am

PLEASE I NEED HELP WITH THISSS ASAP!!!! I WILL GIVE BRAINLIEST!

Answers

Is the number one !!!!!!!

What is the value of x?

Answers

What is the equation?

As an estimation we are told 5 miles is 8 km.
Convert 27.4 miles to km.

Answers

Answer:

≈ 44 km

Step-by-step explanation:

5 miles = 8 km

Then:

1 mile = 8/5 km

Then 27.4 miles is:

27.4*8/5 = 43.84 ≈ 44 km
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