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:

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Related Questions

I need help with this question it's for a important grade and if anyone can help that will be great.​

Answers

Basically you use the tan/sin/cos rules.

You have your opposite=13 and hypotenuse=33, so use sin to solve it.

sin^-1(opp/hyp)
=sin^-1(13/33)
=23 degree

Step-by-step explanation:

33+13+90=136+?=180

136-180=44

X=44

The floor of hexagonal barn has a perimeter 1260
feet. The sides of the barn are of equal length. Find
the total area of the floor.

Answers

Answer: 5040

Step-by-step explanation: There are 4 sides which is equal to 1260, 1260 x 4 = 5040

A triangle where one angle measures 20° and another angle measures 45°.Help please

Answers

Answer: 115 degrees

Step-by-step explanation:

Pretty vague question but with the info given im guessing that your looking for the last angle in the triangle which is 115 since all angles in a triangle must add up to 180

(2/3) to the 3rd power] plus [(3/4) to the zero power]

Answers

Answer:

1-8/27

Step-by-step explanation:

[tex](\frac{2}{3})^3=\frac{8}{27}[/tex]

[tex](\frac{3}{4})^0=1[/tex] (anything to the zeroth power is 1)

[tex]1+\frac{8}{27}=1\frac{8}{27}[/tex]

We cannot simplify, so 1-8/27 is our answer.

Hope this helps. Have a nice day.

Name the property illustrated.

(4 + 6) + 9 = 4 + (6 + 9)

Answers

Commutative property.
Mark brainliest

* Countdown
Series 5 / Page 6
Justin has a paper parallelogram with a
lotted line drawn on it. He will use scissors
o cut along the line, forming a triangle and
pentagon
7 cm
8 cm
3 cm
3 cm
Which equation can be used to find p. the
area of the pentagon?
A p= (7 6 / (3.3)
Bp=(7-6)-(3.3)
cp-417.6.3.3)
Dp = (7 + 6) - (3 + 3)

Answers

Answer:

A

Step-by-step explanation:

Area of pentagon = Area of parallelogram - area of triangle

                              = (base * height ) - [tex]\frac{1}{2}*b*h[/tex]

                              = (7 * 6) - [tex]\frac{1}{2}[/tex] * 3 * 3

HURRY PLEASE I NEED HELP

Answers

Step-by-step explanation:

as I guess it's a link question between some others so can you show us whole quetsion of it

(+3 120-130'+ 24c +8

Answers

Answer:

whats your question? its hard to answer a question without info man

Step-by-step explanation:

Help needed for assignment

Answers

The answer is C........

Work out the number of years of investment for each return.
a. £3000 invested at 3% simple interest returns £3720

Answers

Answer:

41 years approx

Step-by-step explanation:

Given data

P=  £3000

R=3%

Simple Interest= £3720

Time=???

We know that from the simple interest expression

SI= PRT/100

substitute

3720= 3000*3*T/100

Make T subject of the formula

T= 3720*100/3000*3

T= 372000/9000

T= 41.33

Hence the number of years is 41 years approx

$17divided by 20% rounded to the nearest dollar

Answers

Answer:

$13.60??????

Step-by-step explanation:

$17 divided by 20% = $85 rounded by the nearest dollar is 90 ??????

I GOT THE POWER IF GOD AND ANIME ON MY SIDE

i dont know for sure if the answer is right sorry

math is not on my side

Can someone tell me which equation this is
1. f(x)= 1/4x +4
2. y=1/2x +4
3. f(x)=-2/3 +4

Answers

Answer:

#3

Step-by-step explanation:

The line follows an inverted slope format, indicated by -2/3. Or down 2, and 3 to the right after going up by 4, creating the line. The other equations would flip the line horizontally because of a positive slope.

Pls help me number 8 plsssss

Answers

Answer:

y=mx+b

m=2/3, b=-2

your answer is B. y=2/3x-2

Step-by-step explanation:

Hope this helps :)

3(x - 7) = 2(x - 12)
explain how u got it too

Answers

Answer:

x = -3

Step-by-step explanation:

3x - 21 = 2x - 24

3x = 2x - 3

x = -3

Answer:

x = 45

Step-by-step explanation:

First, we need to use the distributive property on both sides of the equation. We multiply the number outside of the parentheses by every term inside the parentheses.

3(x - 7) = 2(x - 12)

3x - 21 = 2x - 24    

From here, we solve for x.

3x - 21 = 2x - 24

x - 21 = 24                 (Subtract 2x from both sides)        

x = 45                       (Add 21 to both sides)

hi, please help thank you !
A randomly selected group of 80 high school students was surveyed to see if Math or English was their favorite subject.
Part A: What percent of students surveyed are in the 10th grade? Round your answer to the nearest percent.
A)29%
B)14%
C)71%
D)15%

Answers

Answer:

A because 11 +12 is 23 and A is the closest

Is -6.743743… a rational or irrational number?

Your answer:

Rational because .743 repeats


Rational because the 6 is negative


Irrational because the number never ends


Irrational because the 6 is negative

Answers

It's rational because it contains a repeating digit pattern, 743 (first option).

In particular, if

x = -6.743743…,

then

1000x = -6,743.743743… .

Subtracting, we can eliminate the trailing end and solve for x exactly:

1000x - x = -6,743.743743… - (-6.743743…)

999x = -6,737

x = -6,737/999

Find the pair of numbers that will multiply to give you the bottom number and add to the top number

Answers

Answer:

4 and 3

4 and 5

4 and 6

3 and -8

-4 and -21

4 and 36

4 and -7

Step-by-step explanation:

1)

4 + 3 = 7

4 × 3 = 12

2)

4 + 5 = 9

4 × 5 = 20

3)

4 + 6 =10

4 × 6 = 24

4)

3 - 8 = -5

3 × (-8) = -24

5)

-4 - 21 = -25

-4 × (-21) = 84

6)

4 + 36 = 40

4 × 36 = 144

7)

4 - 7 = -3

4 × (-7) = -28

GIVING BRAINLIEST! What is the slope of the negative graph?


Answers

Answer:
-3/2 is the slope of the negative graph
Hoped this helped have an amazing day!

A company produces fruity drinks that contain a percentage of real fruit juice. Drink
A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The
company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than
liters of Drink B. Write a system of equations that could be used to determine the
number of liters of Drink A made and the number of liters of Drink B made. Define
the variables that you use to write the system.

Answers

Answer:

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

Step-by-step explanation:

Let

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

1. The company used 100.5 liters of real fruit juice, then

2. Drink A:

x = amount of real fruit juice used

percentage of real fruit juice

Then

5x = amount of drink A produced

Drink B:

y = amount of real fruit juice used

percentage of real fruit juice

Then

amount of drink B produced

The company makes 30 more liters of Drink A than liters of Drink B, so

The system of two equations is

1). There are 25 students in grade 7. 15 are boys and others are girls. A
student is selected for a field trip at random.
A) Find the probability of selecting a boy
B) Find the probability of selecting a girl|

Answers

Answer: 1) 15:25 or 15/25 2) 10:25 or 10/25

Step-by-step explanation: if there are 25 students total and there are 15 boys that means the rest are girls so 25-15 is 10 girls. So the ratio for selecting a boy would be 15:25 or 15/25 and the ratio for selecting a girl would be 10:25 or 10/25

Hiiiiiiiiiiiiiiiiiiii take your best guess

Find the value of x in the angle pair.

Answers

Answer:

x=30

Step-by-step explanation:

180-55=125

5x-25=125

125+25=150

5x=150

5/150=30

x=30

What is the slope between the points (-1,3) and (2, 5)?

Answers

Answer:

2 is the slope

you have to use this: y2-y1

                                     x2-x1

y2= 5  y1= 3

x2= 2  x1= -1

5-3=2

2-1=1

Two Forest Ranger stations are located 9.8 miles apart. They both receive the same distress call. They determine that from Ranger Station 1 the distress call is at an angle of 46° and from Ranger Station 2 it is at angle of 52°. Which ranger station is closer to the distress call and by how much?

Answers

Answer:

Ranger station 2 is closer by 3.47 miles

Step-by-step explanation:

tan(46)=O/9.8

O (ranger station 2 to distress call)=10.15 miles

sin(46)=9.8/H

H (ranger station 1 to distress call)=13.62 miles

13.62-10.15=3.47 miles

So, ranger station 2 is closer by 3.47 miles

If cosθ = 8/17 then find tanθ . *
1 point
8/15
15/17
17/15
15/8

Answers

Answer:

15/8

Hope it helps

Please mark me as the brainliest

Thank you

Write an equation of a line that goes thru the points (-2, 6) & (3, -4)

Answers

Answer:

The equation of the line is;

y = -2x + 2

Step-by-step explanation:

Here, we want to write the equation of the line that passes through the given points

The general form of the equation is

y = mx + b

where m is the slope of the line and b is the y-intercept of the line

Mathematically, to get the slope, we use the slope formula

m = (y2-y1)/(x2-x1)

(x1,y1) = (-2,6)

(x2,y2) = (3,-4)

m = (-4-6)/(3+2) = -10/5 = -2

So the equation is in the form;

y = -2x + b

To get b, we substitute any of the two points

6 = -2(-2) + b

6 = 4 + b

b = 6-4 = 2

The equation of the line is thus;

y = -2x + 2

A taco charges $2.50 plus a fee of $0.05 for each mile traveled. If the ride costs $7.50, how many miles was the ride?

Answers

Answer:

100 miles

Step-by-step explanation:

7.50-2.50=5.00

100x0.05=5.00

Answer:

2.9 miles or 3 miles

Step-by-step explanation:

1. Add 2.50 & 0.05 (dont forget to line up the decimals!)

2. Divide 7.50 & 2.55

3. You then get your final answer. ( round to the nearest tenths-)

A- im sorry if this is wrong T-T

The original scale factor for a scale drawing of a house plan is 1/80, and the length of the original scale drawing is 12 inches. What is the length of the actual house if the scale factor is 1/80? PLEASE HELP!​

Answers

Answer:3

Step-by-step explanation : because i division

PLEASE HELP ASAP!!!!

Answers

Answer:

B - symmetrical

Step-by-step explanation:

Skewed grams and Uniform graphs are waaaay different

Skewed is basically all of it is tyo the left or right

Uniform is everything about the same level

WILL AMRK BRAINLIEST IF GOTEN CORRECT

Answers

Answer: if im not mistaken its D

Step-by-step explanation:

In circle O, chords AC and BD intersect at E. If MCD= 120 and MAB=100, what is BEC?

Answers

Answer:

D. 70°

Step-by-step explanation:

∠BEC is supplementary with ∠BEA

Find the measure of ∠BEA

m∠BEA = 1/2(mCD + mAB)m∠BEA = 1/2(120° + 100°) = 110°

Supplementary angles sum to 180°

m∠BEC + m∠BEA = 180°m∠BEC = 180° - 110° = 70°

Correct choice is D

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