13. Write the equation of the line perpendicular to
5y = 3x + 25 but passing through (-4,-1)

Answers

Answer 1

Answer:

y = -[tex]\frac{5}{3}[/tex]x - -[tex]\frac{23}{3}[/tex]

Step-by-step explanation:

First, let's divide both sides by 5 to get the first equation into the form y = mx + b. We get y = [tex]\frac{3}{5}[/tex]x + 5. The m value, [tex]\frac{3}{5}[/tex], is the slope and the b value, 5, is the y-intercept of this line.

When a line is perpendicular to another line, the slopes must multiply to get -1. In other words, the slopes must be a negative reciprocal of each other. Since the slope of the original line is [tex]\frac{3}{5}[/tex], we know that the slope of the line perpendicular to that is -[tex]\frac{5}{3}[/tex].

Then, since we know x, y, and m of the second equation, we can substitute those three values into the equation, y = mx + b, to find the y-intercept (b).

-1 = (-[tex]\frac{5}{3}[/tex])(-4) + b

-1 = [tex]\frac{20}{3}[/tex] + b

b = -[tex]\frac{23}{3}[/tex]

After plugging in the values of m and b we calculated, we get the equation for the line perpendicular to the original line: y = -[tex]\frac{5}{3}[/tex]x -[tex]\frac{23}{3}[/tex].


Related Questions

In Khan academy int he 8th grade section "Geometric transformation" in the section "Properties & definitions of transformations" how are you supposed to do this?

Answers

Answer:

First listen to the video on your left of the screen, and then on the right of your screen, you'll see tests. You click on the button below on the test that says practice and if you 3 out of 4 correct, you can do the other videos and tests.

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

Yes

Yes

Yes

No

No

Step-by-step explanation:

-42/6 = -7

17/18 = 0.9444444 (4 repeating)

Integers = whole numbers whether negative or not, but it does not have a decimal.

If anyone knows how to do this please help, its for a test and I have to finish the course by 11:59 tonight

Answers

Answer: The answer to this inequality is C.

omg please help for brainlist !!!!!!!!!!!!!!

Answers

D is correct :)

The bunnies are multiplying by 5 each time. The exponent will have the growth be 5 times the product before.

Hope this helps :)

Answer:

the 4th answer is correct

Step-by-step explanation:

although technically, we don't have enough information, it's the only one that it could be.

Which is a better buy?

Answers

Answer:

four pack of notebooks for $4.56

Answer:

the 3-pack of note books for 3.33

Step-by-step explanation:

hope this helped have a great day!

To make a certain shade of paint, an artist needs to mix yellow with blue paint at a ratio of 3 to 5. He needs 32 ounces of paint.

Solution:

Answers

Step-by-step explanation:

I guess the question is how many ounces are needed per paint. right ?

the colors are mixed in a ratio 3:5.

what that tells us is that there are 8 units of the whole paint (3+5), and yellow gets 3 out of these 8, and blue 5 out of these 8.

the total is 32 ounces.

so, each of the 8 units represents

32/8 = 4 ounces.

and now we know :

yellow has 3 units

3×4 = 12 ounces

blue has 5 units

5×4 = 20 ounces

please answer quickly!!​

Answers

Answer:

Slope: 4

Intercept: 9

Step-by-step explanation:

Hope this helped! :)

1
6 cm
Diagram NOT
accurately drawn
9cm
Scm
11 cm
2
6 cm
18 cm
The diagram shows a shape.
All of its corners are right angles.
Work out the area of the shape.

Answers

The area of the shape is 110 square centimeters

From the diagram, the shape can be subdivided into rectangles of the following dimensions:

6cm by 11cm5cm by 6cm7cm by 2cm

So, the area of the shape is the sum of the areas of the three rectangles.

This gives

[tex]Area = 6cm \times 11cm + 5cm \times 6cm + 7cm \times 2cm[/tex]

Evaluate the products

[tex]Area = 66cm^2 + 30cm^2 + 14cm^2[/tex]

Add the terms

[tex]Area = 110cm^2[/tex]

Hence, the area of the shape is 110 square centimeters

Read more about areas at:

https://brainly.com/question/8408690

Help help help help

Answers

Answer:

  C = 18

Step-by-step explanation:

Put the numbers in place of their symbols and do the arithmetic. The diagram is showing you r = 3.

  C = 2πr

  C = 2(3)(3) . . . . . using 3 for π, as directed

  C = 18

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

Here we've been provided with the information given that radius (r) = 3.

And we have to find the circumference (c) of circle. And we have been provided with the formula i.e C = 2πr.

Placing (π = 3) in the above equation,

[tex]:\implies\tt{c = 2\pi r}[/tex]

[tex]:\implies\tt{c = 2 \times 3 \times 3}[/tex]

[tex]:\implies\tt{c = 6 \times 3}[/tex]

[tex]:\implies\tt{c = 18}[/tex]

The circumference of circle is 18cm.

pls answer quickly

the spring scan shows mass in kilograms what is the mass shown here?

A) 2.5kg

B) 7.5kg

C) 12.5kg

D) 17.5​

Answers

7.5 kg
Hope this helps!

Answer:

B) 7.5kg

Step-by-step explanation:

It is between 5kg and 10kg, so it would be 7.5kg.

1.68 divided by what equals 0.28

Answers

Answer:

Step-by-step explanation:

The answer is 6! just divide :)

Find the interest earned if you place $76.43 into an account that pays 21.5% simple interest, and leave it in for 3 months

Answers

Answer:

$49.297

Step-by-step explanation:

21.5% x 3

divide answer by $76.43

leaves you with how much interest you have earned in 3 months.

help me please!!!!
please be quick!!

Answers

Answer:

40m^2 e

Step-by-step explanation:

(-3x+4)+(x-9) help please.​

Answers

Answer:

- 1 · (2×±5)

Step-by-step explanation:

Answer:

−2−5

Step-by-step explanation:

(-3x+4)+(x-9)

−3x+4+x−9

Subtract

−3x+4+x−9

-3−5+

Combine terms

−3x−5+x

−2−5

Simplify: –5(3x – 11)

Answers

Answer:

40 i think

Step-by-step explanation:

Just multiply the -5 through and you get -15x+55

Please help trigonometry

Answers

Answer:

= 59.36

Step-by-step explanation:

S = 207

so, tan(16) = H/S

tan(16°) = 0.28674539

so H = tan(16) * S = 0.28674539 * 207 = 59.35629573

so the tree high = 59.36 foot

Bianca, Kelly, and Sara are running a race. They
complete the race in 2.35 hours. If the race was
51.7 miles, calculate their average speed.
Helppppppppp

Answers

Answer:

22 miles per hour

Step-by-step explanation:

1. Formula: speed = distance/time

2. s = 51.7 mi ÷ 2.35 hrs

3. s = 22 miles per hour

2y(-2y - 8)

Expand & simplify.
show ur steps

Answers

Answer:

-4y²- 16y

Step-by-step explanation:

   2y(-2y - 8)

   2y (-2y) + 2y (-8)  Distributive

      -4y² - 16y                Multiply (+)(-) = -   and (y)(y) = y²

Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3.6).

Answers

Answer:

Step-by-step explanation:

slope-intercept form is y=mx+b

m = slope = change in y/change in x

  change in y/change in x = 2/1

  m = 2

b = y intercept = y value when x = 0

  using the slope, go left 2 units and down 4

  when x = 0, y = 0

  b = 0

y = mx+b when m = 2 and b = 0

y = 2x+0

y = 2x

calculate the height of the tree the answer is not 46​

Answers

We will want to use the tangent ratio for this question. Opposite=x, adjacent=30.5. Tan(33)=x/30.5.
Tan(33)(30.5)=x
X=19.806, or rounded off x=19.81.

Grocery Store A is selling bananas for $0.75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3.75.
Which store is offering the best unit rate? Show your work.

Answers

Step-by-step explanation:

3.75/5=0.75

75 cents per banana for B

0.75/12=0.0625

0.0625 per banana for A

grocery a has the best and lowest unit price.

Evaluate the following function at the given x value.
f(x) = (3)X + 2-4 at x = 2
A
77
B
5
С
D
7

Answers

Answer:

4

Step-by-step explanation:

f(x)=3x+2-4

f(2)=3(2)+2-4

f(2)=6+2-4

f(2)=8-4

f(2)=4

HeLpPPpppPpPppPpppPpPPp​

Answers

D is the answer, it’s the farthest North on the map shown.

1)
Find the value of x.

Answers

x=6

Explanation:

The opposite side is 35, and the sides are still the same length, but on the side it has +5, so when you multiply 5 by 6 you'll get 30. 6×5=30

30+5=35.

Therefore,

x is going to have to be 6.

Plz need help

What is the value of (2/3)

Answers

Answer:

2/9

Step-by-step explanation:

2(2/3)^2-4(2/3)+2

2(4/9)-8/3+2

8/9-8/3+2

-16/9+2

2/9

please help asap for brainlist

Answers

Answer:

Substitute the given n-values into each function, f(n), to determine which generates the same values as the given a(n)'s.

Step-by-step explanation:

Gwen, Tristan, and Keith like to work out at the gym. They each have an app on their phone that estimates the calories they burn. By the time Tristan and Keith started exercising, Gwen had already burned 100 calories. Gwen burns 10 calories every minute, Tristan burns 125 every 10 minutes, and Keith burns 300 calories every 30 minutes. Let x represent the number of minutes since Tristan and Keith started exercising and y represent the number of app-estimated calories burned.

Answers

Answer:

Part A:

Gwen has already burned 100 calories when Tristan and Keith started, and he continues to burn 10 calories per minute. The equation for Gwen is

y = 100 + 10x

Part B:

Tristan is burning 125 calories every 10 minutes. His burning calories rate is 12.5 calories per minute. The equation for Tristan is

y = 12.5x

Part C:

Keith is burning 300 calories in 30 minutes. His rate per minute is 10 calories per minute. The equation for Keith is

y = 10x

Part D:

Just follow the instructions and do the thing for the app. You can then answer the questions it is very easy.

Part E:

Do the same for E after you do Part D.

Step-by-step explanation:

Hope it helps!

Answer: ?

Step-by-step explanation:

The general equation for the geometric sequence -1, -2, -4, ... is a n = -1 · 2 n - 1 .


TrueFalse

Answers

[tex]\text{First term,}~ a = -1\\\\\text{Common ratio,}~ r = 2\\\\\text{Nth term} = ar^{n-1}=-1\cdot 2^{n-1}\\[/tex]

Answer:

true

Step-by-step explanation:

I had same question and said true so then it marked my as correct but then my computer screen turned black because its gay

Andy spent $46.96 at the grocery store. The cashier gave him $2.97 in charge from a $50 bill. How much change should the cashier have given Andy

Answers

Answer:

Option C- $3.05

Step-by-step explanation:

50 - 46.95 = 3.05.


Please help solve this question!

Answers

Answer:

[tex]\sqrt{49 - x^{2}}[/tex]

Step-by-step explanation:

Pythagorean theorem  [tex]c^{2} = a^{2} + b^{2}[/tex] Then:

[tex]7^{2} = x^{2} + y^{2}\\y^{2} = 7^{2} - x^{2}\\y^{2} = 49 - x^{2}\\y = \sqrt{49 - x^{2}}[/tex]

the lenght of the third side = [tex]\sqrt{49 - x^{2}}[/tex]

Ф = [tex]sin^{-1} (\frac{x}{7} )[/tex]

Ф = [tex]cos^{-1} (\frac{y}{7} )[/tex]

Ф = [tex]tan^{-1} (\frac{x}{y} )[/tex]

Other Questions
can somebody help me out which one is correct A , B , C , D ? You need to buy bananas at the store, but you realize you only have $2. How many bananas could you buy if they each cost 30 cents? Make q the subject of p=6q +7 I need this answer answed ASAP please..work out the area of the shaded shape What reaction did Pocahontas's people have to her helping the Jamestown colonists? A restaurant is making hamburgers. The cooks use 2/3 pounds of beef for each hamburger. If the cooks have 44 and 2/3 pounds of beef,how many hamburgers can they make? which of rockwells paintings is on display at the united nations? Calculate the value of 4321 (base 5) + 343 (base 5) 1. The current exchange rate between the Japanese Yen and the US Dollars is 80:1. If a new3D TV set in Tokyo costs 80,000 yen, how many US Dollars would you need to purchase theTV? "2n-5 = 10."Please Show Step By Step Cu(OH) +HPO = Cu(PO)+HOhow do i balance this equation 3. A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded annually. (a) Write an equation to represent the amount of money in the account as a function of time in years. (b) Find the amount of time it takes for the account balance to reach $800. Show your work. Answer: 22) A corporate charter specifies that the company may issue up to 20 million shares of stock. The company sells 12 million shares to investors and later buys back 3 million shares. The current number of shares of treasury stock after these transactions have been accounted for is: Help plz:11. Solve the following equations:a. 5(x - 4) = 10b. 2x(4x + 3x) = 21c. 3(4 - 2x) = 28d. 10x(2 + 13) = 300 List two diseases that are the result of a viralattack on the human nervous system. A rectangular sticker has an area of 50 square centimeters. Its perimeter is 30 centimeters. What are the dimensions of the sticker? ___centimeters by ____ centimeters Six points are plotted on the number line.Which points on the number line are opposites? Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match. Which of these represents the money left in his wallet? in rupees a)1600-x. (b)2000-x (c) x-1600 (d)x-2000 pls answer asap!!! What is this in simplest form? Solve for h.h - 45 = -35 A. h = -10 B. h = 10 C. h = -80 D. h = 80