Fine the equation of the line through (o, -3) perpendicular to y =4x+4​

Answers

Answer 1

Answer:

The equation of the line is [tex]y = -\frac{x}{4} - 3[/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 and b is the y-intercept(the value of y when x = 0).

Perpendicular lines:

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

Line perpendicular to y = 4x + 4.

This line has slope 4, so our line will have slope:

[tex]4m = -1[/tex]

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

So

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

Through (0, -3)

This means that [tex]b = -3[/tex]

So

[tex]y = -\frac{x}{4} - 3[/tex]


Related Questions

Compounding comparing accounts

Answers

Answer:

hi

Step-by-step explanation:

what's up

Zoom in to see more clear :)

Answers

Answer:

1) x=30 degrees

2)y=20 degrees

1) 3x+2x+1x= 6x (a triangle is normally 180 degrees) 180 divide 6=30 (this is because 6 Xs make up the triangle)

2) 2y+5y+5+y+15= 8y+20, (since a triangle has 180 degrees) 8y+20=180 (-20 from both sides) 8y=160, 160 divide 8=20

(I hope this makes sense)

Raina deposits $5000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 2 years?

Answers

Raina will be paid $200 interest in the first 2 years. This is because she is paid a simple interest rate of 2% and 2% of 5000 is 100. As it's for two years, you need to multiply the first year's interest by 2 to get the total interest over two years.

Find a reason why each number doesn't belong to the rest of the group. On this question, there are MANY right answers.


the numbers are 9 16
25 43

Answers

Step-by-step explanation:

its 5

5. A ski slope is 310 yards long with a vertical drop of 220 yards. Find the
angle of elevation of the ski run. Round to the nearest degree.

Answers

It helps to draw a picture so you can see which trig ratios to use but...

310 is the hypotenuse of the ski slope and the side length across from the angle you’re looking for is 220, the vertical drop.

You can use sin to find theta.

sinx= 220/310

sinx=0.70967...
x = sin inverse of 0.70967....
x = 45°

If 15 larger paper clips were laid end to end to make a length of 17 7/8 inches, is each paper clip larger or smaller than one inch? Explain how you know.​

Answers

Answer:

Larger than [tex]1\ \text{inch}[/tex]

Step-by-step explanation:

The total lenght of [tex]15[/tex] paper clips is [tex]17\dfrac{7}{8}=\dfrac{143}{8}\ \text{inches}[/tex]

In order to find the length of [tex]1[/tex] paper clip we divide the total length of the paper clips by [tex]15[/tex]. So,

[tex]\dfrac{\dfrac{143}{8}}{15}\\ =\dfrac{143}{8}\times\dfrac{1}{15}\\ =\dfrac{143}{120}\\ =1\dfrac{23}{120}=1.1917\ \text{inches}[/tex]

So, one paper clip is [tex]1.1917\ \text{inches}[/tex] long which is larger than [tex]1\ \text{inch}[/tex].

Answer:

didvid the number and that got you a big number

Two planes intersect at a...
A. Plane
B. Power
C. Point
D. Line

Answers

Answer:

D. Line

Step-by-step explanation:

Connor went to the bank with the twenty dollar bill he got for
his birthday. If he wanted the bank to exchange the twenty
dollar bill for other bills (no coins), what are all the different
ways they could give him his twenty dollars back?
PLEASE HELP THIS NEED TO BE DONE IN 45 MINUTES

Answers

connor could give $50 and receive five $10 bills equaling $50 .

he could give $50 and receive two $20’s and two $5 bills = $50

give $50 and receive fifty $1 bills = 50

give $50 and receive 10 $5 bills = 50

the actual distance between two cities is 135 km. The map scale is 1cm: 100 km. Find the map distance.

someone pls helpp !!!

Answers

Answer:

1.35cm

Step-by-step explanation:

Given the scale of the map

1cm = 100km

For 135km;

x cm  = 135 km

Divide both equations

1/x = 100/135

100x = 135

x = 135/100

x = 1.35cm

Hence the map distance will be 1.35cm

what is 8.04=7+? can some one help me for this question please

Answers

Answer:

1.04

Step-by-step explanation:

8.04 - 7 = 1.04

I hope this helps!

Answer:

8.04=7+1.04is your answer.

Plz I will give brainliest

Answers

Answer:

I'm so confused

Step-by-step explanation:

did you forget to add a picture

Can you please help me !!

Answers

Step-by-step explanation:

i think 2 because the 10 could be divided by 5

which would give you

r ^2 + 2

1. 2

What is the value of q?

Answers

Answer:

i think c good luck

Step-by-step explanation:

Help pleaseeeeeeeee!!!!

Answers

Answer:

c . 2×1+0×(1/10)+59×(1/1.000)

Need help!

Which answer is correct?

Answers

Answer:

the answer is a

Step-by-step explanation:

The answer is A hdhdjdujdjdidjdidjdd

Please give me answer A and C :
Because I don't know this answer:
Please help me for this question!​

Answers

Answer:

c: by drawing the line of best fit , enables us to see a trend that links the age to their  salaries.

a: i dont even understand it because theres no age given

Step-by-step explanation:

Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. How much does each amount cost? 3/4 of a foot?

Answers

Step-by-step explanation:

one foot cost 3 so a fourth of one foot is one fourth of three which is .75 and .75 x 3 is 2.25

The Williams family went out for dinner last night. The bill came to $59.95. What amount should they leave if tax is 7% and they
leave a 20% tip?

Answers

Answer:

76.1365

add 27% to 59.95

ASAP ITS DUE TODAY!
Bena is planting 150 trees on her property. She has planted 48 trees. How many more trees does Bena have to plant? Write, solve, and check an equation for this situation. Define the variable

Answers

Answer:

She would have to plant 102 more trees.

Step-by-step explanation:

150-48=102

Check: 102+48=150

Help please !!!!!!!!!!!!!

Answers

It’s a perpendicular is two lines that intersect creating a cross

slope 5.000

Intercept of x = -0.60000

Intercept of y= 3.0000

if cos t = 2/3 find sin t

Answers

sin T = 2/3 in QII means y = -√5 By Pythagoras
cos T = -√5 / 3

plz help me and i will mark u brainliest

Answers

Answer:

[tex]-\frac{7}{24}[/tex]

Step-by-step explanation:

When subtracting a negative, it turns into a positive, so:

[tex]\frac{1}{8} -\frac{5}{12}[/tex]

Now find a common denominator:

[tex]\frac{3}{24} -\frac{10}{24}[/tex]

[tex]-\frac{7}{24}[/tex]

Which notation describes {1, 2, 3}

Answers

first three natural numbers

First, three natural numbers notation describes {1, 2, 3}.

What is set notation?

In mathematics, set notation is essentially a list of numbers, things, or results. Curly brackets, often known as braces, are used for set notation. The items included between brackets are referred to as elements of a set and are not required to be in any particular order.

Given, a set  {1, 2, 3}

Since a set notation used to represent the elements of a set is the curly brackets { }. An example of a set is A = {a, b, c, d}. Here the set is represented with a capital letter, and its elements are denoted by small letters.

These given number best fit in the category of natural numbers.

Therefore, First, the notation for three natural numbers shows  {1, 2, 3}.

Learn more about set notation here:

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What is the equation in slope-intercept form for the line that passes
through the points (-1, 3) and (-2, -3)?
A. y = 6 - 9
C. y=-6x - 9
B. y = 6x + 9
D. y = -x + 9

Answers

Answer:

y = 6x + 9

Step-by-step explanation:

Δy =-3-3 = -6

Δx =-2-(-1) = -1

Slope = Δy/Δx = 6

Point-slope equation for line of slope 6 that passes through (-1,3):

y-3 = 6(x+1)

Rearrange to solve for y:

y = 6x + 9

All Major League Baseball stadiums use standard measurements for their infield area. The pitcher's mound is a circle with a diameter of 18 feet. What is the approximate area that the pitcher's mound encompasses? Do not round your answer.

Answers

Answer:

254 4/7 or 254.34 ft² (it depends on which method you use.)

Step-by-step explanation:

To find the area of a circle, the formula is πr².

I'll use both 22/7 and 3.14 as pi, so I'll end up with two different answers. Just choose the more reliable one.

22/7 version:

22/7 * 9^2

22/7 * 81/1

1782/7

254 4/7 ft²

3.14 version:

3.14 * 9^2

3.14 * 81

314 - (3.14 * 19)

314 - 62.8 + 3.14

251.2 + 3.14

254.34 ft²

As I said, I ended up with two different answers. You also had said not to round my answer, so the 22/7 version has a mixed number.

Write the simplified answer.

Answers

Answer:

Simplified form of: [tex](4x^2+x-6)(-6x-1)[/tex] is [tex]\mathbf{-24x^3-10x^2+35x+6}[/tex]

Step-by-step explanation:

We need to write the simplified answer of: [tex](4x^2+x-6)(-6x-1)[/tex]

We are multiplying both terms.

First -6x is multiplied with [tex](4x^2+x-6)[/tex] and then -1 is multiplied with [tex](4x^2+x-6)[/tex]

Looking at the table, we now just have to add the like terms to find the result.

[tex]-6x(4x^2+x-6)-1(4x^2+x-6)\\=-24x^3-6x^2+36x-4x^2-x+6\\Now\:combining\:like\:terms:\\=-24x^3-6x^2-4x^2+36x-x+6\\=-24x^3-10x^2+35x+6[/tex]

So, simplified form of: [tex](4x^2+x-6)(-6x-1)[/tex] is [tex]\mathbf{-24x^3-10x^2+35x+6}[/tex]

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:

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]

Janis is the set designer for a play. She has 40 feet of dividers to use to create a section in the workshop for storing props. She plans to create the space in the corner of the workshop and use the dividers to create the extra two walls. The area of the sectioned off space, A, is modeled by this equation, where x is the width of the prop section.



Which equation reveals the dimensions that will create the maximum area of the prop section?

A.

B.

C.

D.

Answers

The answer for this question is D

The equation which reveals the dimensions that will create the maximum area of the prop section is;

[tex]A = - (x-20)^2 + 400[/tex]

Option D is true.

Here,

We have to find, The equation which reveals the dimensions that will create the maximum area of the prop section.

What is Dimension?

The measure of the size or distance of an object or region or space in one direction is called Dimension.

Now,

The area of the sectioned off space, A, is modeled by this equation;

[tex]A = -x^{2} + 40x[/tex]

Where,  x is the width of the prop section.

Hence,

[tex]A = -x^{2} + 40x\\\\A = - (x^{2} -40x)\\\\A = - ((x - 20)^2 - 20^2)\\\\A = - ((x-20)^2 - 400)\\\\A = - (x-20)^2 + 400[/tex]

Clearly, We can say that;

A ≤ 400

So,

The equation which reveals the dimensions that will create the maximum area of the prop section is;

[tex]A = - (x-20)^2 + 400[/tex]

Option D is true.

Learn more about the dimension visit:

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At a local fitness center, gym members pay $3 per workout with an annual membership fee of $140. Non-members pay $10 per workout. If you plan on working out an average of twice a month for the next year, is a membership worth the investment? Show your thinking

Answers

Answer:

Yes, the membership is worth it.

Step-by-step explanation:

Per workout : $10× 24 days = $240

Per workout with th membership: $3 × 24 days = $72+ $140 = $212

Math whizzes assemble! this is a tough one, this is a question on my study guide its a screenshot, any help would be appreciated.

Answers

Answer:

x = 6   y = -9   (I took a complicated route so if my explanation doesn't make sense It's fine)

Step-by-step explanation:

DAY = FUN

F = (7x+2y) = 24

If DAY = FUN then D = F making (7x + 2y) = 24

This means A = U so you have to find U with 24+126=150

A triangle is 180 degrees so you would do 180-150=30

U = 30

This also makes (8x+2y) = 30

8x + 2y = 30

-8x           -8x

2y = 30 - 8x

Divide everything by 2

y = 15 - 4x

Doing this you can take 7x + 2y = 24 and plug in 7x + 2(15 - 4x) = 24

Multiply it 7x + 30 - 8x = 24

Add like terms -x + 30 = 24

Subtract 30      -x = -6

Divide by -1       x = 6

Now take one of the equations and plug it in 7(6) + 2y = 24

Multiply 42 + 2y = 24

Subtract 2y = -18

Divide by 2    y = -9

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