from the point p(-2,4) if PQ is drawn perpendicular to line 7x-24y+10=0,find the eqaution of the lin PQ . also determine the length of PQ

Answers

Answer 1

Answer:

7y+24x = -12

Step-by-step explanation:

Equation of line PQ in point slope form is expressed as;

y -y0 = m(x-x0)

m is the slope of {Q

(x0, y0) is the point on the line

Given the line 7x-24y+10=0

Get the slope

-24y = -7x -10

y = -7/-24 x - 10/-24

y = 7/24 x + 5/12

Slope = 7/24

Slope of the line PQ perpendicular to it = -24/7

Substitute m = -24/7 and (-2, 4) into the formula;

y - 4 = -24/7(x+2)

7(y-4) = -24(x+2)

7y - 28 = -24x-48

7y + 24x = -40 + 28

7y+24x = -12

This gives the equation of the line PQ


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PLEASE HELP! I’m not sure if i’m right

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Answer:

looks right

Step-by-step explanation:

Answer:

you are correct

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Will mark brainliest.
What is pi?

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Answer: 3.14159265358979.....

Step-by-step explanation:

Answer:

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 7067.

Pls help I need this answer asap I got 10 min left :(

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Answer:

Step-by-step explanation:

Find the value of x.

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Answer: x = I’m not doing that

Step-by-step explanation:

The mean number of books read
last year by a group of students is
normally distributed with a mean of 10
and a standard deviation of 6. If Austin
is 0.5 standard deviations below the mean
and Kaleigh is 2 standard deviations
above the mean, how many more books
did Kaleigh read than Austin?

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Answer:

I thing Kaleigh read 1.5 more than Austin

Step-by-step explanation:

plzzzzzzzzzzzzz helpppp!!!!!!!!

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Answer: 1. 34 degrees+34 degrees=68 180-68=112 so x=112 degrees

2. 84+22=106 180-106=74 so x=74 degrees

3. 126+20=146 180-146=34 so x=34 degrees

4. both angles on both sides are 40 so 40+40=80 180-80=100 so x=100 degrees

Step-by-step explanation: plz mark me brainliest [tap the crown on the bottom of an answer, if there isn't one then reload the page (there has to be 2 people who answered)]

convert the following fractions to decimals
9/16

6 3/5

1/4​

Answers

0.5625
12.6
0.25
Give me a star and thx

A TV has a listed price of $520,95 before tax. If the sales tax rate is 6.25%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary,

Answers

Answer: 6000,00

Step-by-step explanation:

A navy cruiser detects a nuclear submarine that is 2500 feet from the cruiser. The angle between the water level and the submarine is 15.5 degrees. How deep is the submarine?

Answers

Answer:

Depth of the submarine = 668.09 feet

Step-by-step explanation:

From the figure attached,

In triangle ABC,

Distance between a navy cruiser and a nuclear submarine = 2500 feet

Angle between the water level and the submarine = 15.5°

By applying sine rule in the given triangle,

sin(∠BAC)° = [tex]\frac{BC}{AC}[/tex]

sin(15.5°) = [tex]\frac{BC}{2500}[/tex]

BC = 2500[sin(15.5)]

BC = 668.09 feet

Therefore, submarine is 668.09 feet deep in the sea.

HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!

Answers

If u want to show the (0,2) then this how u do it .

If the x-value is multiplied by 3, what happens to y? The y-value is multiplied by _______

Answers

Answer:

Follow me please

Mark brainliest

If the x is multiply by 3 then Ithe y is multiple by6

if bob had 5 apples and gave Samatha 2 apples how much does he have

Answers

Answer:

3

Step-by-step explanation:

5-2=3

Answer:

According to my calculations...3

Step-by-step explanation:

The data represents the height, in feet, of various buildings. Find the Interquartile Range.

60, 58, 54, 56, 63, 65, 62, 59, 56, 58

Plsss helpppppp :(
This is a testt!

Answers

Answer: 6

Step-by-step explanation:

Salary: $59,438
Starting age: 24
Ending age: 67

Answers

Answer:

2.6 million

have a good day!

Find the volume of a cone that has a radius of and a height of 1.

Answers

the volume of the cone would be 2.36 I hope this helps ❤️

If you can do this whole thing I will give you the brainliest JUST PLEASEE HELPPP MEEEE

Answers

Answer:

this hurts my brain x_x my non-existent brain....

i got you
1) Diameter = 16
Circumference = 50.25
Area = 200.96
2) Radius = 12
Circumference = 75.36
Area = 452.16
3) Diameter = 12
Circumference = 37.68
Area = 113.04
4) Radius = 3
Circumference = 18.84
Area = 28.26
5) Diameter = 28
Circumference = 87.92
Area = 615.44
6) Radius = 5
Circumference = 31.4
Area = 78.5
7) Radius = 16
Circumference = 100.48
A= 803.84
8) Diameter = 38
Circumference = 119.33
Area= 1133.54
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Circumference = 35.1
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Given cot A = 63/16 and that angle A is in Quadrant , find the exact value of sin A in simplest radical form using a rational denominator.

Answers

Answer:

sin(A) = 16*Cos(A)/63

Step-by-step explanation:

You didn't state what quadrant it was in.

The sine of angle A is 16 / 65

What is the sine of an angle?

In a right-angled triangle, the sine of an angle is equal to the ratio of the side opposite to the angle (also called perpendicular) and hypotenuse.

Give that, cot A = 63/16 and that angle A is in Quadrant, (refer to the figure attached)

Since, we know that, cotangent of an angle is ratio of adjacent side to opposite side.

Using Pythagoras theorem, we get,

63²+16² = 4255

√4225 = 65

Therefore, the hypotenuse = 65

sine of an angle = opposite side / hypotenuse

sinA = 16 / 65

Hence, the sine of angle A is 16 / 65

Learn more about sine of an angle, click;

https://brainly.com/question/3827723

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What are the sine and cosine of 4π/3?

Answers

Answer:

See below.

Step-by-step explanation:

Sin (4π/3) = -sqrt(3)/2

Cos(4π/3) = -1/2

three consecutive multiples of 2 is 36 then the multiples are​

Answers

Answer:

9, 12, 15

A multiple of 3 can be written 3n where n is a positive integer.

So 3 consecutive multiples of 3 can be written

3n,3n+3,3n+6

The sum of these is 36

3n+3n+3+3n+6=36

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Divide through by 9

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n=3

If n=3 then 3n=9 and the three consecutive multiples of three are 9, 12 and 15 which do indeed total 36

Step-by-step explanation:

Hope it is helpful....

Which point is on the graph of a direct variation equation in which k = 0.4?

A) (10, 0.04)
B) (4, 10)
C) (10, 4)
D) (0.04, 10)

Answers

i think that it would be A

A rectangle prisms base is 8 feet long. It is 2 1/2 times taller than it is long and 1/2 wide as it is tall. What is the volume of the rectangular prism?

Answers

Answer:

1600 cubic feet

Step-by-step explanation:

8 x 2 1/2 = 8 x 2.5 = 20

20 divided by 1/2 = 10

8 x 10 x 20 = 1600

Question 1 (4 points)
Which statement is true?
F 21 and 22 are alternate interior angles.
G21 and 23 are corresponding angles.
H 23 and 26 are alternate exterior
angles.
J Z3 and 27 are same-side interior
angles.

Answers

it is G because they are corresponding :))))

x = 5
x + y = 12

help please

Answers

Answer:

y = 7

Step-by-step explanation:

(5) + y = 12

12 - 5 = 7

Jeremy earned $33,000 after working for 44 weeks. How much money did Jeremy earn each week? Show Your Work

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Answer: jimmy needs a new job

Step-by-step explanation:

$45.50, 15% markup what is the total

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Answer:

$52.324

Step-by-step explanation:

Answer:
$52.324

That's all I know

2) Solve the system of equations using substitution.
2x -- 9y = 14
x = -6y +7

Answers

Answer:

x= 7, y=0 (7,0)

Step-by-step explanation:

x = 7 and y = 0 those are the answers

Q1. Prasha has five blocks of wood. The total weight of all five blocks of wood is 3 kilograms. 4 of the blocks of wood each have a weight of 650 grams. Work out the weight, in grams, of the other block of wood.

Answers

Answer: Weight of the remaining block of wood =400g

Step-by-step explanation:

Total Weight of five(5) blocks = 3kg = 3000g

Weight of 4 out of the 5 blocks = 650x 4= 2600g

Weight of the remaining block of wood =Total Weight of five(5) blocks-Weight of 4 out of the 5 blocks

= 3000g-2600g

=400g

Find value of x pleaseee

Answers

Answer:

Step-by-step explanation:

you can use the side angle side formula  ( a form of Law of Cosines)

a^2 = b^2 + c^2 − 2bc cos(A)

where x = a  , then

[tex]x^{2}[/tex] =  [tex]5^{2}[/tex] +[tex]3^{2}[/tex] - 2*5*3*cos(107)

[tex]x^{2}[/tex] = 25 + 9 - 30 * (-0.292371)

[tex]x^{2}[/tex] = 25 + 9 -8.7711511

x = 5.0228 cm

Help me photo is attached below pleaseeee I beg youuu

Answers

Answer:

15? i'm not too sure, the wording is throwing me off

Step-by-step explanation:

Answer:

15 dogs

Step-by-step explanation:

dogs : cats : rabbits

5 : 2 : 1

? : ? : 3

1 rabbit = 2 cats

2 cats = 5 dogs

1 rabbit = 2 cats

2 rabbits = 4 cats

3 rabbits = 6 cats

2 cats = 5 dogs

4 cats = 10 dogs

6 cats = 15 dogs

After driving for 2 hours, Juan is 110 miles from his home. After driving 5 hours, he is 275 miles from his home. What is his average rate of change?

Answers

Answer:

392

Step-by-step explanation:

The average rate of change will be "55 m/h".

According to the question,

→ After 2 hours (t₁),

Juan is 110 miles (d₁) from his home.

→ After 5 hours (t₂),

Juan is 275 miles (d₂) from his home.

→ The average rate of change will be:

= [tex]\frac{d_1+d_2}{t_1+t_2}[/tex]

By substituting the values, we get

= [tex]\frac{110+275}{2+5}[/tex]

= [tex]\frac{385}{7}[/tex]

= [tex]55 \ m/h[/tex]

Thus the above is the right solution.

Learn more about average rate of change here:

https://brainly.com/question/3677948

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