brainliest, please help, The line PQ has equation y = 3x - 8 and point P has co-ordinates (6, 10). Find the equation of the line that passes through P and is perpendicular to PQ. Give your answer in the form y = mx + c.

Answers

Answer 1

The equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.

Given that, the line PQ has equation y = 3x - 8 and point P has coordinates (6, 10).

We need to find the equation of the line that passes through P.

What is the condition of slope for perpendicular lines?

The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has a slope of m, then the slope of the line is -1/m.

Here, the slope of the equation is 3.

The equation of the line that passes through P and is perpendicular to PQ is -1/3.

Now, 10=-1/3(6)+c

⇒c=12

Thus, y=-1/3x+12

Therefore, the equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.

To learn more about the equation of the line visit:

https://brainly.com/question/21511618.

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Related Questions

The prism shown has a volume of 35 cm.
Work out h, the height of the triangular cross section.
h
7 cm
4 cm

Answers

Answer:

the height is 2.5 cm

Step-by-step explanation:

The computation of the height of the triangular section is shown below:

As we know that

Volume = One-half × base × height

35 = One-half × 4 × height × 7

So, the height is 2.5 cm

Answer:

Height = 2.5cm

Step-by-step explanation:

Volume = Base(b) x Height(h) x Length(l) / 2

Substitute the information that you have into the equation

Volume = 4 x Height(h) x 7 / 2

Height = 4x7 / 2

= 14cm

35 / 14

= 2.5cm

One month Isabel rented 5 movies and 2 video games for a total of $18. The next month she rented 3 movies and 8 video games for a total of $55. Find the
rental cost for each movie and each video game.
X
?
Rental cost for each movie: $[]
Rental cost for each video game: s]

Answers

Answer:

video=$6.5

moive=$1

Step-by-step explanation:

5m+2v=18, 3m+8v=55

5m+2v=18

2v=18-5m

v=9-2.5m

plug (v=9-2.5m) in (3m+8v=55)

3m+8v=55

3m+8(9-2.5m)=55

3m+72-20=55

-17m=-17

m=1

plug (m=1) in (v=9-2.5m)

v=9-2.5m

v=9-2.5*1

v=6.5

Give brillianst please!!!!!!

Solve for x. Round to the nearest tenth.

Answers

Answer:

Hope that answers your question

here are 4 red cards and 8 black cards in a bag. How likely is it that you will randomly draw a blue card?

a
Impossible
b
Unlikely
c
As likely as not
d
Likely
e
Certain

Answers

Answer:

I would say B?

Step-by-step explanation:

Hope this helps (:

A impossible because nowhere does it say there are any blue cards in the bag

Tyler tried to solve an equation step by step
3(x +4)=-18

Answers

Answer:

x = -10

3(x + 4) = -18

3x + 12 = -18

3x = -18-12

3x = -30

x= -30/3

x = -10

Step-by-step explanation:

[tex]3(x + 4) = - 18 \\ (x + 4) = \frac{ - 18}{3 } \\ (x + 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]

If c/7.75 = 1/24. What does c equal?

Answers

Answer:

7.75 x ? = 1/24

___ ____

7.75 7.75

Answer:

50 × 4 = 200

Step-by-step explanation:

so basically if you can text at a speed of 50 words a minute then all you have to do is multiple that by 4

to the nearest tenth, what is the height of the square pyramid shown below?

Answers

Answer:

Step-by-step explanation:

if you can't see it or don't understand something just tell me:) Good luck and I hope it helped.

find the diameter of the circular garden whose circumference is 124.03 cm

Answers

Answer:

[tex] \color{magenta} \huge{ \boxed{answer}}[/tex]

Solve for diameter

d = 39.48

hopefully help:)

Step-by-step explanation:

✨use #CarryOnLearning to help our medical frontliners✨

#CarryOnLearning

A car that traveled 50 miles in 2 hours had the same average speed as a
car that traveled 200 miles in 8 hours. Is this true or false?

Answers

Answer:

True

Step-by-step explanation:

[tex]\frac{200 miles}{8 hours} = \frac{100miles}{4hours} = \frac{50miles}{2hours}[/tex]

Please help me pls plsss

Answers

Answer:

c is correct

Step-by-step explanation:

If you look at it, 2x is the slope. Always remember the formula y = mx + b

The mx is your slope. And the whole number is your b or y - intercept

Hope this Helps!! :)

What is the sum of the interior angles of this pentagon?
O 900°
O 360°
O 540
O 180°

Answers

Answer:

Step-by-step explanation:

360 + 3*180 = -360 + 540 = 180

For four sides -360 + 180*4 = 360

n-2)*180

For a fifteen sided share the sum of angles = (15-2)*180 = 13*180

Answer:

180

Step-by-step explanation:

Write an equation of the line that passes through the given points.
(-6,8) and (1,0)

Answers

Answer:

y=-8/7x+8/7

Step-by-step explanation:

HELP ME ASAPPP PLZZZZ

The blueprint for an office building uses a scale of 2 cm.:3.5 m. The height of the actual office building is 259 m. What is the height of the office building on the blueprint?

Answers

Answer:

150 cm

Step-by-step explanation:

So the scale is 2 cm on the blueprint = 3.5 meters in real life.

Basically you can just divide the height of the building by 3.5 meters:

259/3.5=75

There are 75, 3.5 meters in 259 meters

Since 3.5 meters on the print is 2 cm

You need to multiply the number of 3.5 meters by 2:

75*2=150

150 cm

Isabella is travelling in Brazil during the summer, She knows that a 15-minute phone call home to her family costs $45.85 and a 20-minute phone call costs $58.30 sabella only has $55.81 to spend on her phone call. How long can she talk to her family?

Answers

19 minutes ..
Divides 45.85 by 15 you will get 3 same for the other cost- the divide 3 by 55.81 and you get 19

How is it 86 I neeeed Explainatiob pleaseeee!!!!!

Answers

Answer:

it is 86

Step-by-step explanation:

House 1 has 6 sticks. House 2 has 11, house 3 has 16, and the pattern goes on. Each following house uses 5 more sticks. At design 17, we can use this pattern to solve for it. We would do 5*17, remembering to add 1 as house 1 has its own additional stick. 5*17 + 1 = 86

Hope this helps, let me know if you have any questions :))

help i don't know what to do plz helppp

Answers

Answer:

-9 degrees celcius

Step-by-step explanation:

(-3) - 6 = -9

HELP PLEASE FOR BRAINLIEST

Answers

surface area: 19.3
volume: 5.412

Surface area: 19.3 yds
Volume: 5.412 yds

What is the measure of angle U?
A. 35°
B. 45°
C. 100°
D. 180°

Answers

Answer:

Step-by-step explanation:

e has the same exact angle

Answer:

Step-by-step explanation:

same as her/him heheheh I I really

Find the mean, median, and mode(s) of the data:

34, 57, 58, 56, 21

Please hurry !!!!!!!

Answers

I’ll said the median is 55

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