Which of the following lines is perpendicular to the line y = -3 x + 2 and passes through the point (–2, 8)?​

Answers

Answer 1

Answer:

y = 1/3x + 26/3

Step-by-step explanation:

Original equation: y = -3x + 2

Perpendicular lines have the "opposite reciprocal" slopes of each other, meaning you flip the numbers and reverse the sign.

Slope of original equation: -3

Slope of perpendicular line: 1/3

How: Reciprocal, flip the numbers: -3/1 to -1/3, then reverse sign -1/3 to 1/3

Then you substitute (-2, 8) into the new equation: y = 1/3x + b

*there's b because you don't know the y-intercept yet

Substitute: 8 = 1/3(-2) + b

8 = -2/3 + b

Add 2/3 on both sides

b = 24/3 + 2/3

b = 26/3

*this is the y-intercept

Therefore, the perpendicular equation is: y = 1/3x + 26/3


Related Questions

Find the measure of the angle indicated in bold (18x)

Answers

Answer:

x=5

Step-by-step explanation:

That is a right angle, so 18x=90. To find x, you have to divide 90 by 18, which gives you 5.

you make a salad and share with friends your sister eats 1/3 of it before they arrive (it is a a and b question pls help)

Answers

Answer:

Sister Is a PIG

Step-by-step explanation:

and Your Friends Gets her Scraps

What is the account balance if the principle is $350 the annual rate is 4% and the time is 3 years.​

Answers

Answer:

393.70

Step-by-step explanation:

350x.04= 14 for 1st year

350+14= 364 for 1st year

364×.04= 14.56 for 2nd year

364+14.56= 368.56 for 2nd year

368.56×.04= 15.14 for 3yr

368.56+15.14= 393.70 yr 3 yrs

Answer:

The answer is 42.

Step-by-step explanation:

We start by using the Simple Interest Formula.

I=P x R x T

Key

P: Principal, R: Rate and T: Time

>P=$350

>R=4% or .04

>T= 3 (for 3 years)

Finally, multiply everything (350)(.04)(3)

| I= 42 |

Lines x and y are parallel. Write an equation that represents the relationship between b and e. Explain how you know this equation is always true. Your explanation should use AT LEAST TWO of the following terms: vertical angles, corresponding angles, congruent, supplementary.

please help

Answers

Answer:

m∠b + m∠e = 180°

Step-by-step explanation:

Lines x and y are the parallel lines and a transversal line is intersecting these lines.

∠b ≅ ∠h [Vertical angles]

∠h ≅ ∠f [Corresponding angles]

Therefore, ∠b ≅ ∠f [Congruent angles]

m∠f + m∠e = 180° [Supplementary angles]

m∠b + m∠e = 180° [Since, ∠b ≅ ∠f]

Therefore, equation representing the relation between ∠b and ∠e is,

m∠b + m∠e = 180°

The required equation that represents the relationship between b and e is m<b + m<e = 180

From the given diagram, we can see that the line x and y are cut by a transversal. This shows that the following statements are true;

m<b and m<g are supplementary i.e m<b + m<g = 180

Also m<b and m<f are equal (alternate interior angle)

m<b = m<d (vertically opposite angle)

Also, since m<d and m<e are supplementary angles (angle on a straight line), then m<b and m<e are also supplementary

Hence the required equation that represents the relationship between b and e is m<b + m<e = 180

Learn more here: https://brainly.com/question/22309882

15 POINT PLZ HURRY
If f(n) = n2 - 2n, which of the following options are correct?

Select all that apply.

f(2) = 0
f(-2) = 0
f(1) = 3
f(5) = 35
f(-4) = 24

Answers

Answer:

A. & E.

Step-by-step explanation:

A.) 4-4=0

B.) 4+4=8

C.) 1-2=-1

D.) 25-10=15

E.) 16+8=24

plzzzz help!!!! Im so confused!

Answers

Answer: 1.  hear you go i can help but you need answers?

the answer is D .

2. answer 48

which is the point-slope equation of a line with a slope of 1/2 that contains (-4,7)

Answers

The equation is 1-c-4.7

Simplify: 45÷3+2×8-12+42

Show working

Answers

15+2*8-12+42
15+16-12+42
31-12+42
19+42
61

45divided by 3=15

15+2multiplied by 8 -12+42

First multiple 2 and 8=16

15+16-12+42

15+16=31

31-12+42

31-12=19

19+42=61

Answer is61

What does -7/10=3.5/j

Answers

Answer:

j=-5

Step-by-step explanation:

Cross multiply.

-7j=35

j= -5

J=-5 is the correct answer

The basketball team lost their last 12 games. They lost by a total of 384 points. Determine their average number of points they lost each game.

Answers

Answer:

32

Step-by-step explanation:

384 divided by 12 is 32

Help me plz 6th grade

Answers

Answer:

Go back to -1

Step-by-step explanation:

4 - -5 = -1

The answer is -1 cause of the. -5

Garcia's Grill offers 7 side dishes, 5 types of steak, and 8 toppings. How many different smothered steak dinners can be made if a smothered steak dinner consists of the customer's choice of steak served with 3 different toppings and 4 different side dishes?

Answers

Answer:

The number of smothered steak dinners that can be made is 9,800

Step-by-step explanation:

A smothered steak dinners consist of customer’s choice of steak with 3 different toppings and 4 different side dishes.

What this means is that;

Customer will select 1 steak out of 5 types

3 toppings out of 8

4 out of 7 side dishes

Thus, the number of steak dinners would be;

5C1 * 8C3 * 7C4

= 5 * 56 * 35 = 9,800

A box contains 21 green marbles. Green
marbles make up 15% of all the marbles
in the box. How many total marbles are in
the box?
8
HELP ASAP! PLZZ

Answers

Answer:

pts

Step-by-step explanation:

5 fre pts :))))

i need help ASAP and just answer

Answers

Answer:

LOM= 66 and MON= 24

Step-by-step explanation:

I think

Answer:

<LOM=66,<MON=24

Step-by-step explanation:

(2x+46)+(3x-6)=90

2x+3x+46-6=90

5x+40=90

5x=90

x=10

2x+46=2*10+46=66

21:28 = :24

plz help....​

Answers

Answer:

x=18

Step-by-step explanation:

21:28=x:24

1. rewrite: 21/28 = x/24

2. simplify: 3/4=x/24

3. multiply 24 to both sides: x=18

I need help with this.

Answers

Answer:

x2 + 8 = 28

The value of x2 is 4.48

Step-by-step explanation:

Hope this is what you were asking for :)

what is the vertical shrink by a factor or 1/6

Answers

Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis. • if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.

Solve the compound inequality 2x − 3 < 7 and 5 − x ≤ 8. A. x ≥ 3 and x < 2 B. x ≥ 3 and x < 5 C. x ≥ −3 and x < 2 D. x ≥ −3 and x < 5

Answers

Given:

The compound inequality [tex]2x-3 < 7[/tex] and [tex]5-x \leq 8[/tex].

To find:

The solution for the given compound inequality

Solution:

We have, compound inequality [tex]2x-3 < 7[/tex] and [tex]5-x \leq 8[/tex].

For [tex]2x-3 < 7[/tex],

Add 3 on both sides.

[tex]2x < 7+3[/tex]

[tex]2x < 10[/tex]

Divide 2 on both sides.

[tex]x< 5[/tex]            ...(i)

For [tex]5-x \leq 8[/tex],

Subtract 5 from both sides.

[tex]-x \leq 8-5[/tex]

[tex]-x \leq 3[/tex]

Divide both sides by -1. So, the sign of inequality is changed.

[tex]x \geq -3[/tex]            ...(ii)

Using (i) and (ii), we get the solution of given compound inequality as

[tex]x \geq -3[/tex]  and [tex]x< 5[/tex]

Therefore, the correct option is D.

helped needed only have 21 minutes

Answers

Answer:

36 degrees

Step-by-step explanation:

The total of the angles is only 90, so to get the answer all you would have to do is 90 - 54 to get 36

Y = X3 – X –1 if x = -1, Y = ?

Answers

Answer:

-3

hope this helps!

Step-by-step explanation:

(-1)3 - (-1) - 1 =

-3 - (-1) - 1 =

-2 - 1 = -3

Y = ( -1 ).3 - ( -1 ) - 1

Y = -3 + 1 - 1

Y = -3

The picture is above. Please answer I’ll mark as the brainliest.

Answers

Answer:

y = 121

First it would be (-10 - 1) squared

Then (-11) squared

Which would result in 121

Answer:

y = 121

Step-by-step explanation:

Plug in the value of x: [tex]y = (-10 - 1)^{2}[/tex]  Solve what's in parentheses: -10 - 1 = -11Plug -11 in: [tex]y = -11^{2}[/tex]  [tex]-11^{2} = 121[/tex]  So, y = 121

I hope this helps!

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y – 3 = {(x - 1). What is the
slope-intercept form of the equation for this line?
Oy=1x+2
Oy={x-4
O y = x + 3/2
Oy=2x-
2.

Answers

Option A is the correct answer, y = x + 2

y - 3 = x-1

If you bring the 3 to the R.H.S, it becomes y = x + 2

If you substitute the values,

3 = 1 + 2

3 = 3

Thus, e equation is correct

The slope-intercept form of the equation for this line is y = 1/2 x  + 5/2

First, we need to get the slope of the equation passing through the coordinate (-9, -2) and (1, 3)

m = 3+2/1+9

m = 5/10

m = 1/2

The equation in point slope form is given as y - 3 = 1/2(x - 1)

2(y - 3) = x - 1

Write in slope intercept form

2(y - 3) = x - 1

2y - 6 = x - 1

2y = x + 5

y = 1/2 x  + 5/2

Hence the slope-intercept form of the equation for this line is y = 1/2 x  + 5/2

Learn more on equation of a line here:  https://brainly.com/question/18831322

PLEASE ANSWER THIS ASAP !!!!!

Answers

Answer:

f(2) = -5

Step-by-step explanation:

For this problem, we are evaluating the graph of f(x), meaning at the value of x, we want the y-value.

Note, when x = 2 on the graph, the only y coordinate available is y = -5.

Hence, when we evaluate f(x) for x = 2, we get y = -5.  f(2) = -5.

Cheers.

a)
be
85°
120°
(2x - 10°
X​

Answers

Let's see what to do buddy...

_________________________________

Step (1)

We know that the sum of the interior angles of any n-sided figure is obtained from the following equation :

[tex](n - 2) \times 180[/tex]

Our figure has 5 sides ;

So , sume the interior angles of it equals :

[tex](5 - 2) \times 180 = 3 \times 180 = 540 \\ [/tex]

_________________________________

Step (2)

First look at the photo which I post.

According it we have :

[tex](180 - x) + 120 + 85 + (2x - 10) + 90 = 540 \\ [/tex]

[tex]2x - x + 475 - 10 = 540[/tex]

[tex]x + 465 = 540[/tex]

Subtract the sides of the equation minus 465 :

[tex]x = 540 - 465[/tex]

[tex]x = 75[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

What is the absolute value of 3.7??? PLEASE HELP!!!

Answers

Answer:

rational number

Step-by-step explanation:

Answer:

3.7

the lines are absolute value

Step-by-step explanation:

it just means the length from zero and its already positive so 3.7

im failing Geometry if anyone is good at Geometry and want to help me i attached 5 problems i greatly appreciate anyone that helps

Answers

Answer:

x = 12

Step-by-step explanation:

Here we go!

What we know:

So 7x and 8x are part of a same side interior angle. meaning, they add up to 180°!

[tex]8x + 7x = 180[/tex]

Combine like terms

[tex]15x = 180[/tex]

Divide 15 from both sides

[tex]x = 12[/tex]

Let's check our work:

plug in x

7(12) + 8(12) = 180

multiply

84 + 96 = 180

add

180 = 180

A ferryboat makes four trips to an island each day. The ferry can hold 88 people. If the ferry is full-on each trip, How many passengers are carried by the ferry each day?

Answers

Answer:

I believe it 352.

Step-by-step explanation:

if you know it's at full capacity of 88 on all four trips multiply 4×88.

1 5/6 + 1 1/3 help will give points

Answers

Answer:

37/6

Step-by-step explanation:

15/6+11/3=37/6

6 1/6,6.16

What is -3(-2)(1)+???

Answers

It’s 6 I think hope this helps you

The ladybug population has been increasing at a rate of 3% every 6 years.
If the population in 1993 was 190 ladybugs, how many ladybugs would
there be in 2019?

Answers

Answer:

there would be 4940 ladybugs in 2019

Step-by-step explanation:

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