Write the equation of the line perpendicular to y = 6/5x + 4/5 that passes through the point (-3,2).

Answers

Answer 1

Answer:

The equation of the perpendicular line of the given line is

 [tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]

Step-by-step explanation:

Step(i):-

Given the equation of the line

         [tex]y = \frac{6}{5} x + \frac{4}{5}[/tex]

cross-multiplication, we get

       5y = 6x +4

The equation of the straight line is 6x - 5y +4=0

The equation of the perpendicular line to the given line is

                        b x - ay +k=0

The equation of the perpendicular line to the given line is   -5x-6y +k=0

This line passes through the point (-3,2)

    ⇒       - 5(-3) -6(2)+k=0

     ⇒       15 -12 +k=0

     ⇒              3 +k=0

       ⇒              k =-3

Step(ii):-

The equation of the perpendicular line is

                                  -5x-6y-3=0

                                  5x + 6y +3 =0

                                        6y = -5x-3

                                          [tex]y = \frac{-5}{6} x -\frac{3}{6}[/tex]

Final answer:-

The equation of the perpendicular line of the given line is

 [tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]


Related Questions

the inequality 7-2/3x

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

HELP ILL GIVE BRAINLEY

Answers

Answer: 1/30

Step-by-step explanation:

The term quotient simply refers to the answer to a division equation.  Because 1/a/b = 1/ab, 1/6/5 = 1/30.

Hope it helps <3 :D

Answer:1/30

Step-by-step explanation:

i did my math on paper

7 students in Ms. Moore’s algebra class earned Bs and that represents 35% of the class. How many students were in the class

Answers

Answer:

20

Step-by-step explanation:

not sure if it is correct:

7÷35=0.2

0.2×100=20

I will make brainliest please help!

Answers

Answer:

Use desmos in the future to figure this out

Step-by-step explanation:

Desmos is a miracle for graphing assignments.

Also, (2, 7)

Just substitute every one of them in!

3*-5+4*1 is not bigger than 20

0^-5+-3*4 is not bigger than 20

3*-4+4*-2 is not bigger than 20

3*2+4*7=34 is bigger than 20

Therefore choosing answer D!

A screen printer can pack up to 24 sweatshirts into a box for shipping.
In which inequality does n represent the minimum number of boxes needed to ship 360 sweatshirts to a customer?

Answers

Answer:

n = 15

Step-by-step explanation:

360 ÷ 24 = 15.

good luck, i hope this helps :)

Answer:

N = 15

Step-by-step explanation:

Only the smartest person in math knows the answer!

Answers

Answer:

16-4x^2

Step-by-step explanation:

Answer:

The answer is 16-4x^2

Step-by-step explanation:

Hope this helps!

Please! Help! (due by tonight)

Answers

Answer:

21a-14b

15b-20a

Step-by-step explanation:

Answer: a + 3b

Step-by-step explanation:

Okay, so...

7(3a - 2b) = 7(3a) - 7(2b) ... distributive property

21a - 14b

5(3b - 4a) = 5(3b) - 5(4a) ... distributive property

15b - 20a

(21a - 14b) + (15b - 20a) = 21a -12b + 15b - 20a =

a + 3b

PLEASE HELP THIS IS DUE IN 5 MINUTES!!!!

Answers

Answer:

Its D :) always do parenthesis first!

Step-by-step explanation:

Help me with this!!!

Answers

With what??????

I love your face

The angle of elevation from a park bench 724 feet from the base of the Gateway Arch in St. Louis, Missouri is 22°. How tall is the Gateway Arch, rounded to the nearest whole number?

Answers

Answer:

Gateway Arch is [tex]292.46[/tex] feet tall

Step-by-step explanation:

As we know,

the horizontal distance from the gate of the Arch to the bench [tex]= 724[/tex] feet

The angle of elevation is [tex]22[/tex] degree

Let H be the height of the gate be "H"

Tanθ= Perpendicular/Base

Substituting the given values in above equation, we get -

[tex]tan 22 = \frac{H}{724} \\H = 724 * tan 22\\H = 724 * 0.404\\H = 292.46[/tex]feet

The expression 36/6x2+1 is equal to
13
4
2
18

Answers

Answer:

13

Step-by-step explanation:

....….........….....

the answer is 13 please give brainliest

(20 POINTS!! HELP ASAP) Use the image above to identify and explain the relationship between the segments and circles A and B. In your explanation, be sure to include specific vocabulary and definitions for the relationships.

CD

Answers

Answer:

Step-by-step explanation:

ER is tangent to circle A and B , CD is tangent to circle B PQ is a arc in circle A

rCRS is an arc in circle B. And lastly Ps is also tangent to both circles.

After the neighborhood block party 2/4 of the brownies were left in the pan. Then Claire ate 1/6 of the leftovers. How much of the entire pan did she eat?

Answers

Claire at 2/4 of the brownie and 1/6 of the leftover.
Claire ate 2/4 of brownies all the left overs

A little help here?????????????????????????????? (please help I really need it)

Answers

Answer:  2  1/4 inches.

Step-by-step explanation:

3 * 3/4 = 9/4 = 2 1/4

hope it helps pls mark me brainliest

Answer:

2  1/4 inches

Step-by-step explanation:

PLEASE HELP ME!!!ITS DUE TODAY!!

Answers

PONLE QUE ES A LA MIERDA IEUFJEUNFUF

Answer:

17.28 is around

23.76 is the area

Step-by-step explanation:


Please answer please please will give Brainliest

Answers

Answer:8/6 and 4/3

Step-by-step explanation:

Quite simple. Just count the amount of squares, which is 8. Now do the same for the triangles, which is 6.

So 8/6

You can also reduce that by dividing it my 2 so it is now 4/3

So click both 8/6 and 4/3

2. The cost of Matt and Natalie's dinner was $23.25. They want to leave a
18% tip. What is the amount of the tip they are going to leave?

Answers

Answer:

$4.19 tip

Step-by-step explanation:

23.25 x 0.18 = $4.185

Write the function that the balance after t years $35000 deposit that earns 9.2% annual interest compounded quarterly

Answers

Answer:A = P(1+r/n)nt

A = 3500(1+.092/4)4t

Step-by-step explanation:

Wesley has a baseball sticker with a radius of 2.3 centimeters. Determine the circumference of his baseball sticker to the nearest tenth of a centimeter.

Answers

Answer:

14.4 centimeters

Step-by-step explanation:

The formula for circumference is: [tex]2\pi r[/tex]. In this case, the r (radius) is 2.3. Multiply it by 2 to get the diameter or 4.6. Then multiply 4.6 x [tex]\pi[/tex] (pi) to get 14.444. This rounded to the nearest tenth of a centimeter is 14.4.

Note:

I used 3.14 for [tex]\pi[/tex] (pi).

Hope it helps!

At a school
The ratio of the number of boys to number of girls = 9:7
There are 100 more boys than girls.
Work out the total number of students at the school.

Answers

Answer:

1600

Step-by-step explanation:

b : g : total

9 : 7 : 16

difference-> 9-7=2

2u->100

1u-> 50

16u-> 1600

9. What is the range of the relation [(4, 2), (1, 1), (0, 0). (1.-1). (4, -2) ?​

Answers

Answer:

{-2,-1,0,1,2}

Step-by-step explanation:

When we are talking of the range, we are referring to the possible y-values the relation can take

Hence, a set of y-values will represent the range of the relation

we have this as:

{2, 1 , 0, -1 , -2}

Arranging in order, we have ;

{-2,-1,0,1,2}

9 x 7 = (? x 7) - (1 x 7)
= 70- ?
= ?

Answers

Answer:

70 / 7

? = 10

Step-by-step explanation:

63 = 7 * ? - 7

70 = 7 x ?

70 / 7 = ?

? = 10

Answer:

-364

Step-by-step explanation:

ok so just followed the equation and got that

Match each radius or diameter of a circle with its approximate circumference.
Tiles
Aa
radius: 3 units
diameter: 12 units
diameter: 36 units
radius: 5 units
Hols
Pairs
circumference: 113.04 units
circumference: 18.84 units
A>
circumference: 31.4 units
>
circumference: 37.68 units
>

Answers

Answer:

radius: 3 units <----> Circumference: 18.84 units

Diameter: 12 units <----> Circumference: 37.68 units

Diameter: 36 units <----> Circumference: 113.04 units

Radios: 5 unites <----> Circumference: 31.4 units

Step-by-step explanation:

How I got the answers for the radiuses:

3 (this is only half the diameter so if you do 3 x 2 you will get the diameter.)

3 x 2 = 6

C = pi x d

C = 3.14 x 6

C = 18.84 [this is the first radios]

5 (this is only half the diameter so if you do 5 x 2 you will get the diameter.)

5 x 2 = 10

C = pi x d

C = 3.14 x 10

C = 31.4 [this is the second radios]

How I got the diameters:

12 (this is the full diameter so we do not have to multiply it by 2)

C = pi x d

C = 3.14 x 12

C = 37.68 [this is the first Diameter]

36 (this is the full diameter so we do not have to multiply it by 2)

C = pi x d

C = 3.14 x 36

C = 113.04 [this is the second Diameter]

Solve the proportion for e

Please helpp meee

Show work if can thank you

Answers

Answer:

17

Step-by-step explanation:

Cross multiply: 51 × 6 = 306Divide: 306 ÷ 18 = 17So, e = 17

I hope this helps!

state the domain and range of each relation.then state if the relation is a function​

Answers

Step-by-step explanation:

I wish i can help but i dont know the answer. sosorry

HELP HELP I NEED HELP ASAP PLEASE!!
Find an integer a such that a < √77 < a + 1

PLEASE RIGHT AND EXPLANATION TOO

PLS PLS NO CAP

Answers

Answer:

try 87 or 86

Step-by-step explanation:

8 1/2 divided 2 2/3 as a mixed number?

Answers

Answer:

= 3 3 16

Step-by-step explanation:

17 ÷ 8 2 3

Second step : multiply

= 17 × 3 2 × 8

The answer will be 51

16

= 51 16

Simplifying 51/16 , the answer is

= 3 3 16

l hope it helps ❤❤

Mixed number is the combination of the whole number and the fraction number. The whole and the part of the whole combined can be expressed as a mixed numbers. the result of the division of the two mixed number is [tex]3\dfrac{3}{16}[/tex].

Given information;

The mixed numbers given is the problem are  [tex]8\dfrac{1}{3} [/tex]  and [tex]2\dfrac{2}{3} [/tex]

Mixed number

Mixed number is the combination of the whole number and the fraction number. The whole and the part of the whole combined can be expressed as a mixed numbers.

Now the given mixed number has to be divided. This number can be divided by converting into the proper fraction numbers. Let I is the result when the two numbers are divided. Thus,

[tex]x=8\dfrac{1}{2} \div 2\dfrac{2}{3} \\ [/tex]

To solve this convert the mixed numbers into the fraction number. For this multiply the denominator to the whole number and then add in the numerator. Thus,

[tex]x=\dfrac{16+1}{2} \div \dfrac{6+2}{3} \\ x=\dfrac{17}{2} \div \dfrac{8}{3} \\ [/tex]

Convert the divide sign into the multiply sign by changing the numerator to the denominator of one of the fraction.

[tex]x=\dfrac{17}{2}\times \dfrac{3}{8} \\ x=\dfrac{51}{16}\\[/tex]

As 16 can divide the number 51 in 3 times with reminder 3. Thus the mixed number for the above fraction can be written as,

[tex]x=3\dfrac{3}{16}[/tex]

Thus the result of the division of the two mixed number is [tex]3\dfrac{3}{16}[/tex].

Learn  more about the mixed number here;

https://brainly.com/question/2639375

The cost(c)of chicken varies directly as its weigth(w)equation​

Answers

Answer:

[tex]c = kw[/tex]

Step-by-step explanation:

Given

c varies directly as w

Required

Write the equation

c varies directly as w.

Mathematically, this is represented as:

[tex]c\ \alpha\ w[/tex]

Convert to equation.

[tex]c = kw[/tex]

Where k is the constant of variation

Water Tank A has a capacity of 550 gallons and is 66%
full. How much water is in Tank A?

Answers

Answer:

363

Step-by-step explanation:

Hope its right

Answer:

363 gallons

Step-by-step explanation:

550 % 100 x 66 = 363


PLEASE ANSWER ASAP !!!!

Answers

Slope = 4/1 or y=4x -8

Answer:

Step-by-step explanation:

(3,4)(4,8)

4/1

m=4

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