What is the equation of a line that is perpendicular to this line and goes through the
given point?
y = 3x + 2 (3,-4)

Answers

Answer 1

Answer:

x + 3y + 9 = 0

Step-by-step explanation:

y=3x + 2

Coefficient of x = 3

Gradient (m) of line y= 3x + 2 is 3

Since the line passing through point

(3,-4) is perpendicular to line y=3x + 2

hence gradient (m) of the line is -1/3;

And hence it equation is given as;

y - y1 = m(x - x1)

y - (-4) = -1/3(x - 3)

multiplying through by 3;

3 × y + 3 × 4 = 3 × -1/3(x - 3)

3y + 12 = -1(x - 3)

3y + 12 = -x + 3

x + 3y + 12 - 3 = 0

x + 3y + 9 = 0


Related Questions

Is 2.72135 rational or irrational

Answers

Answer:

rational

Step-by-step explanation:

since 2.72135 is finite (has an ending), it can be written as a fraction, meaning it is rational.

Answer:

Rational

Step-by-step explanation:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

A plane intersecting a double-napped cone is perpendicular to the central axis. Which conic section is formed?

Answers

Answer:

circle

Step-by-step explanation:

lol where teh f parabola come from

if it's perpendicular it makes a 90 degree angle to the central axis

that would make it a circle...

parabolas r when the plane forms the same angle w the central axis as the generator..............................

A conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to the central axis is a: A. circle.

What is a circle?

A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, it refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

In Geometry, a circle is a conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to the central axis because it forms an angle of 90° with the central axis.

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Which of the following described (5+5) in the expression above?

Answers

Answer:

10

Step-by-step explanation:

its 5+5

Simon has more money than Kande. if Simon gave Kande K20, they would have the same amount. While if Kande gave Simon $22, Simon would then have twice as much as Kande. How much does each one actually have?​

Answers

Given parameters;

  Let us solve this problem step by step;

Let us represent Simon's money by S

Kande's money by K

Simon has more money than Kande

               S > K

 if Simon gave Kande K20, they would have the same amount;

 if Simon gives $20, his money will be  S - 20 lesser;

      When Kande receives $20, his money will increase to K + 20

                     S - 20  = K + 20   ------ (i)

While if Kande gave Simon $22, Simon would then have twice as much as Kande;

          if Kande gave Simon $22, his money will be K - 22

    Simon's money, S + 22;

                  S + 22  = 2(K - 22)    ------ (ii)

Now we have set up two equations, let us solve;

         S - 20  = K + 20  ---- i

         S + 22  = 2(K - 22)  ;       S + 22  = 2K - 44  ---- ii

So,      S - 20  = K + 20

          S + 22  = 2K - 44

subtract both equations;

               -20 - 22  = (k -2k)  + 64

                   -42  = -k + 64

                       k  = 106

Using equation i, let us find S;

            S - 20 = K + 20

             S - 20  = 106 + 20

              S = 106 + 20 + 20  = 146

Therefore, Kande has $106 and Simon has $146

Write the equation of the line with a slope of 3/4 and a y-intercept of -7 in slope - intercept and point -slope form.

Answers

slope intercept:

y=3/4x-7

point slope form:

I used the y intercept (0,-7) as a point to plug into point slope form.

y+7=3/4(x-0)

The linear equation of the line is y = 3/4x -  7 and y + 7 = 3/4(x - 0)

How to determine the line equation?

The slope is given as:

m = 3/4

The y-intercept is given as:

c = -7

A linear equation in slope intercept form is represented as:

y = mx + c

So, we have:

y = 3/4x -  7

The equation in point slope form is calculated as follows:

y = 3/4x -  7

Add 7 to both sides

y + 7 = 3/4x

Express 3/4x as 3/4(x)

y + 7 = 3/4(x)

Subtract 0 from x

y + 7 = 3/4(x - 0)

Hence, the linear equation of the line is y = 3/4x -  7 and y + 7 = 3/4(x - 0)

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Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clothing that costs $180? (3 points)

Answers

Answer:

10.80

Step-by-step explanation:

Sales price x sales tax rate = sales tax

180 x .06 (6%) = 10.80

The amount of sales tax for the clothing that costs $180 is $10.8.

Given that,

Cost of a clothing = $180

We have to find the sales tax amount.

Sales tax is calculated as a percentage of the sales price.

Here,

Sales tax percentage = 6%

In order to find the actual sales tax amount, we have to multiply the cost with the percentage of sales tax.

Sales tax amount = 6% of 180

                             = (6/100) 180

                             = 0.6 × 18

                             = 10.8

Hence the sales tax amount is $10.8.

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PLEASEEEE HELP ME RIGHT NOW

Answers

The correct answer would be b/a

Rewrite 1/5 barrel 1/2hour as a unit rate

Answers

Answer:5/8

Step-by-step explanation:i took the exam

What number is 10 times greater than 12,052

Answers

Answer:

120,520

Step-by-step explanation:

Answer:

120520

Step-by-step explanation:

because 12052*10

On Friday, the temperature changes -3celsius each hour. If the temperature changed for 7 hours, what is the total temperature change?

Answers

Answer:

-21 degrees

Step-by-step explanation:

Find all numbers whose absolute value is 9.
If there is more than one, separate them with commas.
If there are no such numbers, click on "None".

Answers

Answer:

|-9|,|9|

Step-by-step explanation:

Because all absolute values are positive, the only numbers that apply to your questionare 9 and |-9|

How do you do this question?

Answers

Answer:

7

Step-by-step explanation:

1 / ((n + 1) + 2)³ ≤ 0.001

1 / (n + 3)³ ≤ 0.001

(n + 3)³ ≥ 1000

n + 3 ≥ 10

n ≥ 7

How do you do this question?

Answers

Answer:

∫₁⁵ 2t (t² + t³) dt

Step-by-step explanation:

The area is ∫ₓ₁ˣ² y dx.  To parameterize, replace x₁ and x₂ with t₁ and t₂.  Replace y = f(x) with y = f(t), and replace dx with (dx/dt) dt.

x = 5 + t², so dx = 2t dt.

∫₁⁵ (t² + t³) (2t dt)

∫₁⁵ 2t (t² + t³) dt

Find the equation of the line specified. The line passes through the points ( 2, 1) and ( 5, 4) a. y = x + 1 c. y = x - 1 b. y = -x - 1 d. y = x + 3

Answers

Answer:

b

Step-by-step explanation:

Answer: c) y = x-1

Step-by-step explanation: took test on edge

Let p: x = 4
Let q: y=-2
Which represents "lf x = 4, then y = -2"?
Opvg
орла
Op-9
O p +9

Answers

[tex]p\longrightarrow q[/tex].

Hope this helps.

If p (x=4) then q (y=-2), the conditional statement is "p → q".

The correct option is C.

What is a conditional statement?

A conditional statement is a sentence with the syntax "If p, then q." Here, the letters "p" stands for "hypothesis" and "q" for "conclusion."

The statement "If x = 4, then y = -2" can be written as a conditional statement, where the hypothesis is "x = 4" and the conclusion is "y = -2".

The symbol for a conditional statement is "→".

Therefore, the answer is "p → q", which reads as "If p (x = 4) then q (y = -2)".

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Please help!!!!!!!!!!!!!

Answers

Answer:

37, 3, 37

Step-by-step explanation:

in the diagram to the left, if m∠aed=152° , find each angle measure

Answers

Answer:

Step-by-step explanation:

1). ∠1 and ∠2 are supplementary.

  m∠1 + m∠2 = 180°

2). ∠1 and ∠2 are complementary angles.

   m∠1 + m∠2 = 90°

3). If ∠1 and ∠2 are vertical angles,

   m∠1 = m∠2 = 64°

4). ∠Q and ∠R are complementary angles.

   m∠Q + m∠R = 90°

   If m∠R = 73°,

   m∠Q + 73° = 90°

   m∠Q = 90° - 73°= 17°

5). m∠AED = 135°

a). Since, ∠AED and ∠AEC are supplementary angles,

   m∠AED + m∠AEC = 180°

   m∠AED = 152°

   152° + m∠AEC = 180°

   m∠AEC = 180° - 152° = 28°

b). m∠CEB + m∠AEC = 180°

    28° + m∠CEB = 180°

    m∠CEB = 180° - 28° = 152°

c). m∠FEC = m∠FEA + m∠AEC

                 = 90° + 28°

                 = 118°          

Answer:

Step-by-step explanation:

A

PLEASE PLEASE HELP FAST!!! I WILL GIVE YOU BRAINLIEST!
Solve.

2x + 4 3
B) x 1/3
D) x < 1/3

Answers

Answer: 2x + 43 is already solved  and so is x 1/3 and x < 1/3

Step-by-step explanation:

Answer:

i think its c

Step-by-step explanation:

if a cookie jar has 24 cookies how many cookies are left in the jar after eating some.How many cookies are in the jar after you have eaten 9 cookies?How many cookies are in the jar after you have eaten 9 and then eaten 3 more

Answers

Answer:

15&12

Step-by-step explanation:

24-9=15

15-3=12

Answer

if there is 24 cookies in the jar and 9 cookies are eaten 15 cookies will left and if 3 cookies are also eaten so 12 cookies will left.

Step-by-step explanation:

10) Two airplanes leave Columbus at the same time and fly in opposite directions. One plane travels 70 miles
per hour faster than the other plane. After 4 hours they are 3800 miles apart. What is the rate of each plane?
Complete the table, and then write an equation to solve.
Hint: Distance equals rate times time. (d = rt)
Rate Time Distance

Answers

Answer:

Is this from VLA in ohio? Which school do you go to?

4 Mr Franklin paid 145.76 for 0 gallons or
gas What is the price of 1 gallon of gas?
A $5.00
$5 16
B 06 07
D$5.05

Answers

Answer:

That doesn't make sense

Step-by-step explanation:

sylvia has three grandsons. carl is the youngest and is three years younger than ethan. scott is one year older than ethan. two years ago scotts age was twice the difference of ethan and carls age. how old are all three boys now?

Answers

Answer:

Carl is 4 year old

Scott is 8 year old

Etan is 7 year old

Step-by-step explanation:

Mark Brainliest Plz

3/4 5/6 16/25 9/15 smallest to largest

Answers

Answer:

All you need to do is find a common denomianatorand then solve from least to greatest hope this helps!

Step-by-step explanation:

To arrange thse fractions from smallest to greatest let us first change them into a fraction with a common denominator . Which means ;

= 3/4 = 225/300

= 5/6 = 250/300

= 16/25 = 192/300

= 9/15 = 180/300

Therefore , these fractions arranged from the smallest to the largest are :-

9/15 , 16/25 , 3/4 , 5/6 .

Pls help.
5.2 Determine the Base from a Portion

a. The grocery store makes a 20% profit on baked goods. The profit for
baked goods last month was $600. What was the total sales for baked
good last month?

Answers

3000

3000 multiplied by .2 equals 600

how to convert meters to centimeters
2m =cm​

Answers

Answer:

Multiply by 100

2m=200 cm

Step-by-step explanation:

Bonnie bought a 13-pound turkey for $11.05. How much money di she pay for each pound of turkey?

Answers

Answer:way too much because chicken like turkey

Step-by-step explanation:turky is juste sleepyi chimken

What is -2/5 times 5/9?

Answers

Answer:

[tex]-\frac{2}{9}[/tex]

What is the product?
4
3x
5
The product written as an improper fraction is
2
The product written as a mixed number is 2

Answers

Answer:

The product written as an improper fraction is:

12

5 or 12/5

Step-by-step explanation:

4 x 3 = 12

5 5

Answer:

12/5

Step-by-step explanation:

Maria finds a shirt on the clearance rack. It's original price was $75, but now it only costs $15. Find the percent of
change.

Answers

Answer:

80 percent off

Step-by-step explanation:

First find the difference in cost (75-15=60)

then divide the difference by the original price 60/75=.8

An example of multistage samples

Answers

Answer:

Multistage sampling divides large populations into stages to make the sampling process more practical.

Step-by-step explanation:

Let’s say you wanted to find out which subjects U.S. school children preferred. A population list a list of all U.S. school children would be nearimpossible to come by, so you cannot take a sample of the population.

An example of multistage samples is the Gallup poll.

What is the multistage sample?

In this, we have to drawn the sample that should arise from the population that used the smaller and smaller group at every stage. It is applied for collecting the data from the large, and the group of people in national surveys.

The Gallup poll used multistage sampling. Like it randomly select a particular no of area codes after this randomly sample a no of phone numbers from within each area code.

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