(-6,8); perpendicular to y = -3/2x -1

Answers

Answer 1

Answer:

[tex]y = \frac{2}{3} x + 12[/tex]

Step-by-step explanation:

[tex]y = - \frac{3}{2} x - 1[/tex]

The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.

Thus, gradient of given line=[tex] - \frac{3}{2} [/tex].

The product of the gradients of perpendicular lines is -1.

(Gradient of line)(-3/2)= -1

Gradient of line

[tex]- 1 \div ( - \frac{3}{2} ) \\ = - 1( - \frac{2}{3} ) \\ = \frac{2}{3}[/tex]

Substitute m=[tex]\frac{2}{3} [/tex] into y=mx+c:

[tex]y = \frac{2}{3} x + c[/tex]

To find the value of c, substitute a pair of coordinates.

When x= -6, y= 8,

[tex]8 = \frac{2}{3} ( - 6) + c \\ \\ 8 = - 4 + c \\ c = 8 + 4 \\ c = 12[/tex]

Thus, the equation of the line is [tex]y = \frac{2}{3} x + 12[/tex].


Related Questions

*I NEED THIS ASAP*
5. number of terms
6. degree
7. leading coefficient
8. end behavior
9. turning point(s)
10. x-intercept(s)
11. relative minimum(s)
12. relative maximum(s)

Answers

Answer:

5 terms

to the fourth degree

leading coeff of 1

3 turning points

end behavior (when x -> inf, y -> inf. When x -> - inf, y -> -inf)

x intercepts are (0,-4) (0,-2) (0,1) (0,3)

Relative min: (-3.193, -25) (2.193, 25)

Relative max: (-0.5, 27.563)

Step-by-step explanation:

The terms can be counted, seperated by the + and - in the equation given.

The highest exponent is your degree.

The number before the highest term is your leading coeff, if there is no number it is 1.

The turning points are where the graph goes from falling to increasing or vice versa.

End behaviour you have to look at what why does when x goes to -inf and inf.

X int are the points at which the graph crosses the x-axis.

The relative min and max are findable if you plug in the graph on desmos or a graphing calculator.

f(x) = 3x + k
f(4) = 10
easy equation but I just need a confirmation that the answer is actually -2 lol

Answers

Answer:

-2

Step-by-step explanation:

f(x) = 3x + k

f(4) = 10

f(4) = 3×4+k

10 = 12 + k

10-12 = k

k = -2

Simplify. 5 2+20
5
30
45
72
(The 5 2 is an exponent.)

Answers

Answer:C.45

Step-by-step explanation:

                         [tex]\Huge\boxed{Your\;answer\;is\;45.}[/tex]

___________________________________________________________

                                                  [tex]\boxed{Explanation}[/tex]

So, we have the following equation...

[tex]5^2+20=(?)[/tex]

Remember, 5² also means 5x5.

Therefore, [tex]5x5=25\\25+20=45[/tex]

This means your final answer is 45.

___________________________________________________________

Glad to help!

Could i possibly get brainliest?

[tex]\huge\boxed{Thanks,\;Plip.}[/tex]

Which is not a cubic number?a.1 b.9 c.27 d.64

Answers

Answer:

9

Step-by-step explanation:

1= 1x1x1 cubic

27=3x3x3 cubic

64=4x4x4 cubic

9 is not cubic

Answer:

Step-by-step explanation:

1x1x1=1³

3x3x3=27=3³

4x4x4=64=4³

BRAINLIEST FOR THE CORRECT ANSWER!!

Look at the graph. How would you describe the activity in Nora's Savings Account over the 10th, 11th, and 12th month?
A) The number of dollars did not change.
B) The number of dollars decreased.
C) The number of dollars slightly increased.
D) The number of dollars dramatically increased

Answers

Answer:

D

Step-by-step explanation:

answer choices a/b can be eliminated because it's increasing, and answer choice c can be ruled out because its a dramatic increase!

hope this helps!<3

answer only. Thanks​

Answers

the answer is b bc the way the other 2 are

Step-by-step explanation:

its the pattern.

CAN ANYONE HELP ME??
if anyone can help me out with my math class this quarter, it'd be greatly appreciated. my mental health hasn't been the best, and it's really reflecting in my grades. staying focused, motivated and positive has been the hardest. i can comment my instagram username if anyone can help, so we can talk through dms. :) thank you so much.

Answers

I can try to help :)

Answer:

i'd give you my insta

Step-by-step explanation:

Find the degree of the monomial.
-39^4rs^6
The degree is

Answers

20 is the awnser to that question

Answer:

The answer to your question would be 20

Hope this helps!



The graph of g(x) = x2 + 2 is a translation of the
4
graph of f(x)
by
units.
2
DONE
-4
-2
-2
-4
y=x²

Answers

Answer:

up and 2; down and 3

Step-by-step explanation:

hope this helps!! have an amazing day <3

The equation the function after the transformation is  g(x) = -4x² - 16

What is transformation?

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.

here, we have,

to determine the transformation of the function:

The equation of the function is given as

f(x) = x²+2

The sequence of transformations is given as follows:

Translate up by 2 units

Reflection across the x-axis

Vertically stretched by a factor of 4

When the above transformations are combined, we have:

Translate up by 2 units: g(x) = f(x) + 2

Reflection across the x-axis: g(x) = -(f(x) + 2)

Vertically stretched by a factor of 4: g(x) = -4(f(x) + 2)

So, we have

g(x) = -4(x²+2 + 2)

Expand

g(x) = -4x² - 16

Hence, the function g(x) is g(x) = -4x² - 16

Read more about transformation at

brainly.com/question/27224272

#SPJ7

PLEASE PLEASE ANSWER I WILL MARK AS BRAINLIST

Answers

Answer:

hey! ill do it but first do 3/4 x 8/15 for me PLSSSSSSSSSSS

Step-by-step explanation:

Hi what is 1-1+25? I really need help

4. Shelton earns an hourly wage at a grocery store. The following expression represents Shelton’s take home pay after taxes, social security, and his health care plan are deducted. Let x represent the number of hours Shelton worked.

10.25x − 0.21(10.25x)

a) Which term represents Shelton’s total pay before deduction?

b) Shelton wants to save $1,675 for a new laptop. If Shelton saves 25% of his take-home pay, how many hours will he need to work to meet his savings goal?

Answers

Answer:

a)  Shelton’s total pay before deduction: 10.25x

b)  To meet savings goal he'll have to work 827.415869 hours.

Step-by-step explanation:

Take-home pay:

  10.25x − 0.21(10.25x)

  10.25x − 2.1525x

  8.0975x

Save 25% for new laptop:

  .25(8.0975x) = 1675

     2.024375x = 1675

     x = 827.415869 hours

Hello, can somebody help?

x+4y=9

if x = y+4

Answers

Answer:

4x + 8y =12                        [inconsistent]

x + 2y = -3

x = 6                                   [inconsistent]

x = -2

2y = 5x + 6                          [inconsistent]

-10x + 4y = 8

x - 3y=2

4x - 12y = 8                          [dependent]

x+ 4y = 12                              [independent]

2x - 8y = 4

4x + 8y = -6                        [dependent]

6x + 12y = -9

4y - 2x = 6                            [inconsistent]

8y = 4x -12

y - x = 0                                [independent]

y = -x

2y - x = 4

1/2x - y = 2                            [inconsistent]

Step-by-step explanation:

a = , b = , c = , d = , e = .
- To people who need this for Edge "Modeling a Bicycle Wheel" it's 6, 8, 6, 7, 7.

Answers

Answer:

Thanks! I was doing this lesson now and was getting ready to ask a question, but I saw this, and it helped me a lot. Thank you!

Step-by-step explanation:

Even though I technically didn't answer anything, can I have brainliest? I really want to level up

Have a blessed day and remember to keep smiling! :)

If 9-2k/3=k-2 what is the value of k

Answers

Answer:

[tex]k=3[/tex]

Step-by-step explanation:

Given the following question:

[tex]\frac{9-2k}{3} =k-2[/tex]

To find the answer we need to isolate k, in order to do that we need to use inverse of operations to cancel out integers on each side of the expression.

[tex]\frac{9-2k}{3} =k-2[/tex]
[tex]3\times0=0[/tex]
[tex]2\times3=6[/tex]
[tex]9-2k=k\times3-6[/tex]
[tex]9-9=0[/tex]
[tex]-6-9=15[/tex]
[tex]k\times3=3k[/tex]
[tex]-2k=3k-15[/tex]
[tex]-2k-2k=0[/tex]
[tex]3k+-3k=-5k[/tex]
[tex]-5k=-15[/tex]
[tex]-5k\div-5=k[/tex]
[tex]-15\div-5=3[/tex]
[tex]k=3[/tex]

Your answer is "k =3."

Hope this helps.

what is 3 1/4 - (-5/8)

Answers

Answer:

3.875

Step-By-Step-Explanation

3 2/8 + 5/8

POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
(9 & 10)

Answers

Answer: I got these correct 100%.

Step-by-step explanation:

First page:

1. True

2. True

3. True

4. True

5. False

6. True

7. False

Second page:

1.False

2.False

3.False

4.False

5.False

6.True

7.True

8.True

A chair can be purchased in one of four colors: red, white, green, or blue. The number of chairs purchased in each color is listed below. Red: 150 white: 450 green: 225 blue: 375 Based on the information shown in the list, what is the probability that the next chair purchased will be red?

Answers

Answer:

[tex]P(Red) = 0.125[/tex]

Step-by-step explanation:

Given

[tex]Red: 150[/tex]

[tex]White: 450[/tex]

[tex]Green: 225[/tex]

[tex]Blue: 375[/tex]

Required

Determine the probability of getting a red chair, next.

First, we nee the total number of chairs

[tex]Total = 150 + 450 + 225 + 375[/tex]

[tex]Total = 1200[/tex]

Probability of getting red is then calculated as thus;

[tex]P(Red) = Red/Total[/tex]

[tex]P(Red) = 150/1200[/tex]

[tex]P(Red) = 0.125[/tex]

J Problem: Find the slope of a line parallel to each given line. 5) y = 3x - 5​

Answers

Answer: y = 3x + 5

............................

plz mark brainlest

Mary decreased her time for the mile walk from 30 minutes to 24 minutes. What was the percent of decrease?
A. 32%
B. 20% increase
C. 20% decrease
D 88%

Answers

It will be C)


(24-30/ 30) *100
= - 20
So we will be stating (-) as 20% decrease .

Hope it helps
Yea its c ithink though

simplify 3(2x-2)-2(x-2)

A.3x-3
B.3x-4
C.4x-2
D.4x-4

Answers

The answer is c 4x-2
C 4x-2 that’s the answer

Need help with question 7- TYSM!

Answers

Hi :)

x = 4

Because the area is 20cm^2, and area = length x width, we just need to divide 20 by the number we have already, which is 5
20/5 = 4

To check this answer, we do 5 x 4 = 20

Hope this helps :)

Answer:

A=½bh

20=5x(½)

multiply by reciprocal both sides

40=5x

divide

8=x

What is y+2=-7(x-4) in slope intercept form

Answers

Answer:

y= -7x+26

Step-by-step explanation:

not sure how to explain... just followed order of operations

Which number is not a perfect square?
(A) 1

(B) 25

(C) 30

(D) 36

Answers

Could you add a picture or something? I don’t understand what you are asking.

Answer:

Hello! :) I hope I’m correct!!

Step-by-step explanation:

I think (C) 30 is not a perfect square.

(A) 1 = perfect square

(B) 25 = perfect square

(C) 30 = NOT a perfect square

(D) 36= perfect square

{Note: The square root of 30 is not an integer, so therefore 30 is not a square number}

Since the question is asking to find a number that is NOT a perfect square...

The answer would be (C) 30

Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ^-^

~By, BrainlyAnime~ <3

ill give brainlyst to the first person to help me:)

Answers

Q1 / 1 minute and 30 seconds
Q2 / 7 minutes and 30 seconds

Evaluate 3x + 12 for x=5
Hurry!!! ASAP!

Answers

Answer:

27

Step-by-step explanation:

3*5=15+12=27]

Evaluation of 3x + 12 for x = 5 is 27.

What is an expression?

Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.

Given expression,

3x + 12

And to solve for x= 5,

we substitute the value of x in given expression,

3(5)+ 12 = 15 + 12

             = 27

Therefore, evaluation of expression 3x + 12 for x = 5 is 27.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ6

This figure represents a small brick that is to be covered on all sides with a striped fabric. How much fabric is needed to cover the brick? Enter your answer as a decimal in the box.

Answers

The amount of fabric needed = surface area of the rectangular prism (brick) = 146.5 cm²

What is the Surface Area of a Rectangular Prism?

The surface area of a rectangular prism is given as, A=2(wl+hl+hw).

The brick is a rectangular prism. Therefore, the amount of fabric needed to cover the brick would equal the surface area of the brick.

Given the following:

l = 6 cmw = 3.5 cmh = 5.5 cm

Plug in the values into the formula:

The surface area of the rectangular prism (brick) = 2(3.5 × 6 + 5.5 × 6 + 5.5 × 3.5) = 146.5 cm²

Learn more about surface area of rectangular prism on:

https://brainly.com/question/1310421

Answer:

The Answer Is : 146.5

Step-by-step explanation:

I Just Took The Test And I Have Proof

Pls help me on this problem I’m confused

Answers

Answer:

1 yard = 3 feet

40 × 3 = 120 feet

1 foot per 2 seconds

120 × 2 = 240

240 ÷ 60 = 4 minutes

it takes her 4 minutes to reach the surface

Answer:

6 minutes and 65 seconds

Step-by-step explanation:

The unit rate is: 1/2.

1/2 x 40 = 40/80

80/60 = 1.33

1.33 x 3   (Because every foot is a meter)

3.99 / .60

6.65.

Hope this helps! Have a good day.

(Also, nice Sans PFP, mine is Sans too ;>)

need some help with the question in the image ​

Answers

Answer:

oranges $3.50 per Kg, bananas $3 per Kg

Step-by-step explanation:

let b represent cost of bananas and o represent cost of oranges , then

2b + 3o = 16.5 → (1)

o = b + 0.5 → (2)

substitute o = b + 0.5 into (1)

2b + 3(b + 0.5) = 16.5 ← distribute parenthesis on left side and simplify

2b + 3b + 1.5 = 16.5

5b + 1.5 = 16.5 ( subtract 1.5 from both sides )

5b = 15 ( divide both sides by 5 )

b = 3

substitute b = 3 into (2)

o = 3 + 0.5 = 3.5

cost of oranges = $3.50 and cost of bananas = $3


PLEASE HELP!!!!! Will award brainliest need help asap

Answers

[tex]\\ \rm\rightarrowtail 2-sin^2x=2cos^2\left(\dfrac{x}{2}\right)[/tex]

[tex]\\ \rm\rightarrowtail 1+1-sin^2x=2cos^2\left(\dfrac{x}{2}\right)[/tex]

1-sin^2x=cos^2x

[tex]\\ \rm\rightarrowtail 1+cos^2x=2cos^2\left(\dfrac{x}{2}\right)[/tex]

[tex]\\ \rm\rightarrowtail cos^2x=2cos^2\left(\dfrac{x}{2}\right)-1[/tex]

[tex]\\ \rm\rightarrowtail cos^2x=cosx[/tex]

[tex]\\ \rm\rightarrowtail cosx=1[/tex]

[tex]\\ \rm\rightarrowtail x=n\pi[/tex]

As x lies in between 0 and 2π

The answers are 0,2π

Answer:

[tex]x=0,\dfrac{\pi}{2}, \dfrac{3\pi}{2},2\pi[/tex]

Step-by-step explanation:

Given equation:

[tex]2-\sin^2x=2 \cos^2(\frac{x}{2})[/tex]

Subtract [tex]2 \cos^2(\frac{x}{2})[/tex] from both sides:

[tex]\implies 2-\sin^2x-2 \cos^2(\frac{x}{2})=0[/tex]

Pythagorean identity

[tex]\sin^2x+\cos^2x =1[/tex]  

[tex]\implies \sin^2x =1-\cos^2x[/tex]

Substituting into the equation:

[tex]\implies 2-(1-\cos^2x)-2 \cos^2(\frac{x}{2})=0[/tex]

[tex]\implies 1+\cos^2x-2 \cos^2(\frac{x}{2})=0[/tex]

Cosine double angle identity:

[tex]\cos(2x)=2 \cos^2x-1[/tex]

[tex]\implies 2 \cos^2x=\cos(2x)+1[/tex]

Substituting [tex]\frac{x}{2}[/tex] for [tex]x[/tex]:

[tex]\implies 2 \cos^2(\frac{x}{2})=\cos(2\cdot\frac{x}{2})+1[/tex]

[tex]\implies 2 \cos^2(\frac{x}{2})=\cos x+1[/tex]

Substituting into the equation:

[tex]\implies 1+\cos^2x- (\cos x +1)=0[/tex]

[tex]\implies \cos^2x- \cos x =0[/tex]

Factoring:

[tex]\implies \cos x(\cos x- 1)=0[/tex]

Therefore,

[tex]\cos x=0[/tex]  

[tex]\implies x=\dfrac{\pi}{2}, \dfrac{3\pi}{2}[/tex]

and  [tex]\cos x-1=0[/tex]

[tex]\implies \cos x=1[/tex]

[tex]\implies x=0, 2\pi[/tex]

Q7: What is the slope of the line represented by the equation 2x + 6y = 5

Answers

Answer:

-1/3

Step-by-step explanation:

2x + 6y = 5

6y = -2x + 5

y = -1/3x + 5/6

Representing the equation in slope intercept form, the slope of the line represented by the equation is - 1/3

Given the equation :

2x + 6y = 5

Slope intercept format :

y = bx + c

; b = slope

2x + 6y = 5

6y = - 2x + 5

Divide both sides by 6 to isolate y

y = - 1/3x + 5/6

Hence, the value of slope, b in the equation is - 1/3

Learn more : https://brainly.com/question/18106342

Other Questions
Why did many south koreans move to the united states in the 1960s? the chance of family reunions war in their homeland poverty in their homeland religious persecution Which expression has the same meaning as n 3/8? Suppose y varies directly as x, and y = 10 when x = 25. Find y when x = 18. Introduction: Match the type of business organization with one of its features.CooperativeIs the most common form of businessorganization in the United StatesFranchiseRequires a fee to be paid to a parentcompany for a business planCorporationIs an organization in which memberowners market their products togetherPartnershipIncludes two or more owners who areliable for any business debtSole proprietorshipCan be the most complicated and themost expensive type of organization HELP PLEASE Explain two advances in education during the Middle Ages. What was the structure of the new government under the Articles of Confederation? Which of these could most likely result in a physical injury to yourself orothers?A. Too much dessertB. An argument with a siblingC. Large portion sizes at a mealD. An accidental fallSUBMIT here are the pictures , youre supposed to list them in a logical sequence for cell division. Describe the social and economic life of India. Solve-3.5+4.2=?solve BKK Corporation sells headphones with a unit selling price of $200 and a contribution margin ratio of 40%. Unit variable costs are expected to increase $10 next year with no change to the unit selling price. Calculate the new contribution margin ratio. BER:Which of the following predictions about global climate change is directly related to an increase in the burning of fossilfuels?a. increased extreme weatherb. decreased food supplyc. global warmingd. falling sea levelsoo CAN SOMEONE HELP ME WITH THIS PLEASE? If less dense crust collides with less densecrust, then this must be an example ofA. continental crust to continental crust collision..B. continental crust to oceanic crust collision.C, oceanic crust to oceanic crust collision.D, a subduction zone. 6-7! help Ud commands and ud commands pls answer this all pls quickly now Decrease 16855.21 by 13.5%Give your answer rounded to 2 DP. Dilate the figure below with a scale factor of 1.5 centered at the origin and then rotate the figure 90 clockwise about the origin. A family has two cars. The first car has fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 2150 miles, for a total gas consumption of 60 gallons, How many gallons were consumed by each of the two cars that week? What is the function of the noun phrase "My mother and I" in this sentence?My mother and I will be going to see the movie on opening night. appositive indirect object predicate nominative subject