Mathematics High School

A walking path across a park is represented by the equation y=-3x - 3. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-3, 6). Identify the equation that represents the new path.
OA. y=-3x-6
O B. y=x+7
OC. y=3x+15
O D. y=-x+5
166
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FREN
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Answers

Answer 1

Answer:

y = (1/3)x + 7

Step-by-step explanation:

The general structure form of a line in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

The slope of a perpendicular line is the opposite-signed, reciprocal of the original line's slope. Therefore, if the slope of the original line is m = -3, the new slope is m = 1/3.

The y-intercept can be found by plugging the new slope and the values from the point (-3, 6) into the slope-intercept form equation.

m = 1/3

x = -3

y = 6

y = mx + b                                  <----- Slope-intercept form

6 = (-3)(1/3) + b                           <----- Insert values

6 = -1 + b                                    <----- Multiply -3 and 1/3

7 = b                                           <----- Add 1 to both sides

Now, that you have the slope and y-intercept, you can construct the equation of the perpendicular line.

y = (1/3)x + 7

Answer 2
Y=1/3x + 7 is the correct answer

Related Questions

Solve the system of equations using the elimination method.
3x + 4y = -2
2x + 3y = -1

Answers

Answer:

(-2, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -2

2x + 3y = -1

Step 2: Rewrite Systems

Find LCM of both equations.

[1st Equation] Multiply everything by 2:                                                        6x + 8y = -4[2nd Equation] Multiply everything by -3:                                                    -6x - 9y = 3

Step 3: Redefine Systems

6x + 8y = -4

-6x - 9y = 3

Step 4: Solve for y

Elimination

Combine 2 equations:                                                                                    -y = -1[Division Property of Equality] Divide -1 on both sides:                               y = 1

Step 5: Solve for x

Define original equation:                                                                               3x + 4y = -2Substitute in y:                                                                                                3x + 4(1) = -2Multiply:                                                                                                           3x + 4 = -2[Subtraction Property of Equality] Subtract 4 on both sides:                       3x = -6[Division Property of Equality] Divide 3 on both sides:                                x = -2

One serving of ice cream contains 1,400 calories. If 322 calories come from fat, what percent of the total calories come from fat?

Answers

Answer:

23%

Step-by-step explanation:

322 ÷ 1400 = 0.23 = 23%

23 %

Step-by-step explanation:

x percent of 1400 calories = 322 calories so, (x × 1400)÷100 = 322x = (322 × 100) ÷1400x = 32200 ÷ 1400x = 23

MARK ME AS BRAINLISTPLZ FOLLOW ME

plzz answer fasttttt​

Answers

Answer:

45 square centimeters.

Step-by-step explanation:

Length(L) = 9 cm

breadth (b) = 5 cm

Area of the rectangle

= L * b

= 9 * 5

= 45 cm²

Hope it will help :)

Answer: 45 square centimeters

Step-by-step explanation: 9cm x 5cm = 45cm

81 - 4x = 147 please help

Answers

Answer: X   =    -16.5 / -16 1/2 / -33/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation  is written in point-slope form. What is the equation written in slope-intercept form?    ​

Answers

Answer:y+6 = 1/3 (x, -9)

Step-by-step explanation:The equation y+6 = 1/3 (x, -9) is written in point-slope form. What is the equation written in slope-intercept form? The point-slope form of a line that has a slope of -2 and passes through point (5, -2) is shown below. ... The equation y - 2/3 = -2 (x - 1/4) is written in point-slope form.

30 points

Syed took out a cash advance of d dollars from a financing company. The company deducts a fee of 1/3 of the orig
advanced amount along with a wire transfer fee of $30.00. What is the final advanced amount that Syed receives if she takes out a
cash advance of $300?

(Numerical Answer Only)

Answers

Well what is 30x3 (because that is how you would find what is one third of unknown) then you find the answer witch is 90$

PLEASE HELP LOOOOOOOKKKKKKKK ATT SS

Answers

Answer:

1

Step-by-step explanation:

d=-4 , f = 3

so, [8-(-4)]/4 × 3

= (8+4)/12

= 12/12

=1

Hope it helps

Answer:

1 is the answer

Step-by-step explanation:

8-(-4) / 4(3) = 1

please help solve :D

Answers

Answer:

101

Step-by-step explanation:

4x+11 + 6x -1 = 180 (because they are supplementary)

10x =170

x = 17

angle L = 6(17) - 1 = 101

Angle L and Angle N are congruent. so N = 101

The answer to this is101

What is the sum of the measures of the interior angles of a 12-gon ?


A: 1620

B: 1800

C: 1980

D: 2160

Answers

i believe the answer is B: 1800

Answer:

B. 1800 degrees.

Step-by-step explanation:

Just took the quiz on Edg (2020-2021)!!

help me, please.....

Answers

Answer:

50 minutes left.

Step-by-step explanation:

The easiest way to do this is to convert all the fractions into minutes

So, she would've spent 1 hour and 30 minutes on her homework and 40 minutes on her telephone. If you add those amounts up, you get 2 hours and 10 minutes. Since she goes to bed 3 hours after dinner, and 2 hours and 10 minutes have gone by, you do 3 hours - 2 hours 10 minutes and you get 50 minutes.

Hope that makes sense. Let me know if you have any questions.

I’ll mark as brainliest!!!

Find x and y plz help

Answers

Based on the angles, we know this is a 45-45-90 triangle.

In this type of triangle, x and y will be equal. The formula for the sides is x * rad 2 = 8 .

8/ rad 2 = 5.66

Both X and Y are 5.66 units.

Answer:

x = 6.81 and y = 4.20

Step-by-step explanation:

by using SOHCAHTOA

hypotenus = 8

adjacent = x

opposite = y

sin45° = y/8

y = 8sin45°

y = 6.66

cos45° = x/8

x = 8cos45°

x = 5.66

Bona ma numec claudiu si vreu sa stiu si eu cat face 100+340

Answers

Answer

100+340=440

Step-by-step explanation:

the answer is 440 hope this helps

which is smaller 0 or -0​

Answers

Answer:

the answer is -0 , -0 is smaller than 0.

Plz help me with this question

Answers

Answer:

C

Step-by-step explanation:

Remark

There are probably a couple of ways that you could do this. I'm going to pick the most obvious way.

Givens.

KN = 2.5

NO = 10

LM = 3

MP = x

Equation

NO/KN = PM / LM

Solution

10 / 2.5 = x / 3              Cross multiply

2.5x = 10 * 3                 Combine

2.5x = 30                      Divide by 2.5

x = 30/2.5

x = 12

That looks like it should be the answer, and it almost is, but you are asked for LP.

LP = LM + MP

LP = 3 + 12

LP = 15

The answer is 15

The county fair charges $.50 per ride and $10 to get
in. If you have $32, write an equation to find the
number of rides (r) you can go on.

Answers

Answer:

r=44 rides

Step-by-step explanation:

(32-10) ÷ 0.50 = r

r=44

Answer:

44 rides

Step-by-step explanation:

r=32-10/.50

r=44

Which conveyed the negative message?




pleasssss​

Answers

Is there supposed to be a picture? I don’t see one.

Whats chicken nugget plus chicken nugget​

Answers

Answer:

MORE CHICKEN NUGGETS

you put $350 in an account the account earns $17.50 simple interest in 2.5 years was the annual interest rate​

Answers

7$ per year
Sorry I don’t have an explanation

What is the measure of angle 1

Answers

Answer:

the measure of angle 1 is 125

Step-by-step explanation:

hope this you the answer to your question

Answer:

pls give image

Step-by-step explanation:

Can someone help me out with these?
"write a linear equation for line m,n,l,p"​

Answers

Answer:

Step-by-step explanation:

m:  y = -2x + 4

n:    y = x - 1

l:      y = 4

p:     x = -4

m: y=-2x+4

slope: 2

2/1=2

Its negative because the line is going down from left to right

y-intercept:

it crosses the y axis at (0,4)

n: y=x-1

slope: 1

1/1=1

Its positive because the line is going up from left to right

y-intercept:

it crosses the y axis at (0,-1)

l: y=4

slope: 0

A vertical line's slope is always 0

y-intercept:

it crosses the y axis at (0,4)

p: x=-4

To find the equation for a horizontal line, you need to find what x always is no matter what.

Select the correct answer. Factor completely.12x^2+28x 4x(3x + 7) 4x(3x + 28) 4x2(3x + 7) 4(3x + 7)

Answers

Answer:

4x(3x+7)

Step-by-step explanation:

12x^2+28x

factor out the 4x

4x(3x+7)

The answer would be 4x(3x+7)

Hope this helps

Have a great day/night

Feel free to ask any questions

Plz help meeeeeeee !!!!!

Answers

Answer:

answer is A

Step-by-step explanation:

simplify: -28+2r+3r+5

simplify more: 5r-23

2(-14+r) - (-3r-5)
-28+2r +3r+5
-23+5r
so, the answer is A

Hope this helps!! :)

write an expression in simplified form to represent the area of the trapezoid ​

Answers

3xf5 = 52 is the answer to this question have a blessed day

What mathematical term describes both 5.3 and 8.2 in the expression 5.3 x − 8.2 y + 11.1 ?

Answers

Answer:

coefficient

Step-by-step explanation:

Jon has to pay $9.00 admission for the skating rink and $2 per hour to
rent roller blades. How many hours can he skate for $19?*
3
5
06

Answers

Answer:

The answer is 5 hours

Step-by-step explanation:

The answer would most likely be 5 hours, hope it helps!

Hi can anyone do this for me please do it on a piece of paper

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

We don't know the drivers' names or when or where they started. We have made the assumption that the second equation pertains to Kylie.

Each line is plotted with the appropriate slope and y-intercept. The slope is the coefficient of x, and represents the "rise" for each unit of "run" to the right.

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helpppppppppppppp

Answers

Ok,It’s the first one

Answer:

its the first one.

Step-by-step explanation:

The bases of a trapezoid lie on the lines y=2X +7 and y= 2X -5. Write the equation that contains the midsegment of the trapezoid

Answers

Given:

The bases of a trapezoid lie on the lines

[tex]y=2x+7[/tex]

[tex]y=2x-5[/tex]

To find:

The equation that contains the midsegment of the trapezoid.

Solution:

The slope intercept form of a line is

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

Where, m is slope and b is y-intercept.

On comparing [tex]y=2x+7[/tex] with slope intercept form, we get

[tex]m_1=2,b_1=7[/tex]

On comparing [tex]y=2x-5[/tex] with slope intercept form, we get

[tex]m_2=2,b_2=-5[/tex]

The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.

[tex]m=m_1=m_2=2[/tex]

The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.

[tex]b=\dfrac{b_1+b_2}{2}[/tex]

[tex]b=\dfrac{7-5}{2}[/tex]

[tex]b=\dfrac{2}{2}[/tex]

[tex]b=1[/tex]

So, the y-intercept of the required line is 1.

Putting m=2 and b=1 in slope intercept form, we get

[tex]y=2x+1[/tex]

Therefore, the equation of line that contains the midsegment of the trapezoid is [tex]y=2x+1[/tex].

Which of the following could represent consecutive even integers?

x + 1, x + 2
x + 1, x + 3
2x, 2x + 1

Answers

I’m so sorry I don’t know sorry for the inconvenience

Answer:

only x+1 , x+3 COULD represent consecutive even integers

Step-by-step explanation:

only x+1 , x+3 COULD represent consecutive even integers

I’ll give the Brainliest to who answers these questions with a reasonable explanation.

While surfing the Internet, you find a site that claims to offer “the most popular and the cheapest DVDs anywhere.” Unfortunately, the website isn’t clear about the how much they charge for each DVD, but it does give you the following information:
(The information is the table up there)

a. What is the slope of the line containing the points?

b. What does the slope represent in this problem?

c. What is the y‐intercept of the line that contains the points?

d. What does the y‐intercept represent in this context?

e. What is the equation that represents the line?

Thank you.

Answers

Answer:

Answer:

a. 9

b. The slope represents the cost for every new DVD

c. 6

d. The song represents the base price, or the price that it would cost for 0 DVDs

e. y = 9x + 6

Explanation:

I made a graph on a piece of graph paper and these were the answer I got.

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