A straight line L is perpendicular to line 3x-2y+4=0. The area of triangle formed by the line L and coordinate axes is 27 sq.unit find equation of line L​

Answers

Answer 1
First write the equation in the standard form of y=mx+c
3x-2y+4=0
3x+4=2y
( divide by 2)
3/2x+2=y
Now let’s find the perpendicular line to y=3/2x+2
You just have to get the opposite of the slope 3/2 which is -2/3
If you multiply 3/2 by -2/3 you will get -1 this proofs it really is the perpendicular slope your are looking for
Hence
The equation of line L is
y=-2/3+2

Related Questions

Lol help now files just type it

Answers

Answer:

2 = 4/2

Step-by-step explanation:

Well the one for the 2 wholes, Since 2 wholes equal 4/2

because 4/2 simplified is 2 whole it I believe would be 4/2

Answer:4/2,5/2

Step-by-step explanation:

I believe that 4,2 because it's going in order and 4/2= 2 which is shown below. And 5,2 because 5/2=2.5 which is half of 2 and 3.

Kelly bought three watermelons for the class picnic. The watermelons weighed 124 pounds, 13 pounds, and 15 pounds.
What is the total weight of the watermelons?

Answers

Answer:

40/10

Step-by-step explanation:

Please help answer these, thank you

Answers

Stop sending files/links. Help them

The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the median?

Answers

if we put the numbers in order, it would be 12, 12.50, 13, 18.50, 20, 20 we can see the middle numbers would be 13 and 18.50. if only one number is wanted as the median, then we can do (13+18.50) divided by 2 and get 15.75.

I need help!! asap angles ​

Answers

Answer:

i do not know

Step-by-step explanation:

ummmmmmmmm x = well you see you have to solve for x mmmmmm hhhhhhmmmmm yup

I hope the answer is helpful

Complete the following proof. Prove: In an isosceles triangle, two medians are equal.

Answers

Answer:

Midpoint of AB              = (0 + 2a / 2 , 0 + 0 / 2) = (2a / 2 , 0 / 2) = (a,0)

x coordinate of point c = a

                                  N = (0 + a / 2 , 0 + b / 2) = (a / 2 , b / 2)

                                  M = ( 2a + a / 2 , 0 + b / 2) = (3a / 2 , b / 2)

                                MA = √(3a / 2 - 0)² + b / 2 - 0)²

                                       = √(3a / 2 )² + (b / 2) = 9a² / 4 + b² / 4

                                NB = √(a / 2 - 2a)² + (b / 2 - 0 )²

                                      = √( a / 2 - 4a / 2)² + (b / 2 - 0)²

                                      = √(-3a / 2)² + (b / 2)² = √9a² / 4 + b² / 4

Step-by-step explanation:

I tried my best hope its correct :0

What is the value of the expression below when w=3?
10w2 +9w-2

Answers

Answer:

85 if the "2" in 10w(2) is being multiplied.

But if not, then

115 if the "2" in 10w2 is an exponent.

Answer:

85

Step-by-step explanation:

10(3)2 + 9(3)-2

(30)2 + (27)-2

60+25=85

(0,2) (1,0) what is the equation of this line in slope intercept form

Answers

The slope intercept form is y= -2x+2

Pls help now!!!!!!!!

Answers

Nankanskanwwiwkkw (points )
well i found 201.06 so i think A is the closest because it’s only off by a little bit (200.96)

∠C and \angle{D}∠D are vertical angles. If the m\angle{C} m∠C=66o, then what is the m\angle{D} m∠D ?

Answers

Answer:

The measure of angle D is of 66º.

Step-by-step explanation:

Vertical Angles:

If two angles are vertical, they have the same measure.

In this question:

Angles C and D are vertical.

Angle C measures 66º.

So the measure of angle D is of 66º.

Los términos 32 , 16 , 8 , 4 ................, representan una PG .Calcular a) R b) El término décimo c) La suma de los 10 primeros términos

Answers

Respuesta:

T₁₀ = 1/16

S₁₀ = 63,9375

Explicación paso a paso:

Dado el término de un médico de cabecera como 32, 16, 8, 4 ...

El enésimo término de un médico de cabecera se expresa como;

Tn = arⁿ⁻¹

a es el primer término

r es la razón común

n es el número de términos

Dado

a = 32

r = 16/32 = 8/16 = 4/8 = 1/2

n = 10 (ya que necesitamos el décimo término de la secuencia)

Sustituir en la fórmula;

Tn = arⁿ⁻¹

T₁₀ = 32 (1/2) ¹⁰⁻¹

T₁₀ = 32 (1/2) ⁹

T₁₀ = 32 (1/512)

T₁₀ = 32/512

T₁₀ = 1/16

Por lo tanto, el décimo término de la secuencia es 1/16.

La suma de un GP se expresa como se muestra;

Sₙ = a (1-rⁿ) / 1-r para r <1

S₁₀ = 32 (1- (1/2) ¹⁰) / 1-1 / 2

S₁₀ = 32 (1-1 / 1024) / 1/2

S₁₀ = 64 (1 - 1/1024)

S₁₀ = 64 (1023/1024)

S₁₀ = 63,9375

por lo tanto, la suma de los primeros diez términos es 63,9375

In a quiz contest, Mary answers 90% of the questions correctly without any additional clues from the quiz coordinator. The randomly generated numbers below simulate this situation.

The numbers 0 to 8 represent questions answered correctly without additional clues, and the number 9 represents questions that needed additional clues.

44 51 99 66 23
68 72 20 20 59
50 89 39 36 20
90 13 51 47 92
49 20 89 10 13
52 82 52 52 99
28 10 33 35 73
40 44 30 95 22
99 10 55 10 35
36 78 92 37 96
The estimated probability that it would take at least three questions for Mary to need additional clues is (_____)

The estimated probability that Mary needed additional clues to answer two consecutive questions is (_____)

Answers

To solve this problem, we should note that there are:

total questions = 100

questions answered correctly = 90

questions that needed additional clues = 10

1. The first question is to find the probability that in the third question, Mary would need additional clue. Therefore this implies that in the first and second questions, Mary would answer it correctly. Therefore:

Probability = (question 1 answered correctly) * (question 2 answered correctly) * (question 3 needed clue)

Probability = (90/100)*(89/99)*(10/98)

Probability = 0.08256 = 8.26%

2. The second question finds for the probability that two consecutive needs additional clue, therefore:

Probability = (question 1 needed clue) * (question 2 needed clue)

Probability = (10/100)*(9/99)

Probability = 9.1*10^-3 = 0.91%

Answer:

1. The estimated probability that it would take at least three questions for Mary to need additional clues is 0.24

2. The estimated probability that Mary needed additional clues to answer two consecutive questions is 0.06

Step-by-step explanation:

I just took the test! I hope this helps you! <3

thanks for help have nice day

Answers

Answer: 6. d

7. b

8. d

9. c

Step-by-step explanation:

please help meeeeee! pleaseeeee

Answers

Answer:

905in²

Step-by-step explanation:

Evaluate lim
[tex] \frac{3 {x}^{2} + 5x - 1 }{4 {x}^{3} + 2x + 6 } [/tex]

Answers

Answer:

[tex]\lim_{x \to 0} =-\frac{1}{6}[/tex]

Step-by-step explanation:

The first step in evaluating a limit should be to plug in the number to see if you get a result

When you plug in 0 to all of the x's in the expression, you are left with the constants -1 on the top and 6 on the bottom of the fraction.

So there's no need to go any further, the limit as x approaches 0 is [tex]-\frac{1}{6}[/tex]

Answer:

-1/6

Step-by-step explanation:

To find the limit as x approaches 0 we can just plug in 0

for the numerator: 3*0+5*0-1 = -1

For the denominator: 4*0+2*0+6= 6

answer is just -1/6 or -.16666666666666666666667

3/4x8/9 as simpiest form

Answers

Answer:

2/3

Step-by-step explanation:

3/4 x 8/9 = 24/36 or 2/3 simplified

FREE BRAINLEST!!!
Start at 10,000, and divide by 10 each time.

Answers

Answer:

i got 10 in the end 10000 is a power of 10 so the lowest answer is 10

Step-by-step explanation:

What is the sum of the two expressions? (2/7x + 5) + (4/7x - 3)

Answers

Answer:

= 6/7x+2

Step-by-step explanation:

just remove the parenthesis and combine like terms.

i hope this helps :)

Answer:

Step-by-step explanation:

Combine like terms.

2/7x and 4/7x are like terms  

5 and -3 are like terms

[tex](\frac{2}{7}x + 5) + (\frac{4}{7}x - 3) = \frac{2}{7}x+ \frac{4}{7}x + 5 - 3\\\\\\ = \frac{2+4}{7}x+ 2 \\\\= \frac{6}{7}x+2[/tex]

opposite angles of an inscribed quadrilateral are supplementary?

Answers

Answer:

yes

Step-by-step explanation:

according to cyclic quadrilateral properties the oppoaite angles are supplementry

Answer:

An inscribed quadrilateral is any four sided figure whose vertices all lie on a circle. ... This conjecture give a relation between the opposite angles of such a quadrilateral. It says that these opposite angles are in fact supplements for each other. In other words, the sum of their measures is 180 degrees.

Fill in the missing numbers.
__+-3.5=7.25
-3/4-__=1/2
-2 3/8-(-4 2/3) = __

Answers

Answer:

10.75

-5/4

2 7/24

Step-by-step explanation:

1.)

__+-3.5=7.25

Let missing number = x

x - 3.5 = 7.25

x = 7.25 +3.5

x = 10.75

2.)

-3/4-__=1/2

Let missing number = x

-3/4 - x = 1/2

-3/4 - 1/2 = x

(-3 - 2) / 4 = x

-5/4 = x

3.)

-2 3/8-(-4 2/3) = x

-2 3/8 + 4 2/3 = x

-19/8 + 14/3 = x

(-57 + 112) / 24 = x

55 / 24 = x

2 7/24

Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.

Answers

Factoring is an important process that helps us understand more about our equations. Through factoring, we rewrite our polynomials in a simpler form.

It is used in asset (stock) valuation. It is used in bond trading and mortgage calculations.

What is the missing value in the proportion 5/8 = k/16?

Answers

5/8 = 10/16

The missing value is: 10

0.625 = k/16
K= 0.625 * 16
K=10

please help out it for my math homework and I sure do have more questions

Answers

Answer:

30°

Step-by-step explanation:

Remember, all the interior angles of a triangle add up to 180 degrees. Therefore, we can find the value of x by subtracting the values of the other angles from 180:

[tex]x = 180-97-53[/tex]

[tex]x=30[/tex]

Answer:

Soln:

x+53+97=180(sum of interior angle of a triangle is 180)

or,x+150=180

or,x=180-150

or,x=30

Hence, the value of x is 30.

ill mark brainliest, question is attached

Answers

Answer:

y = 10

Step-by-step explanation:

2 (4y - 7) = 66

8y - 14 = 66

8y = 80

y= 10

help me with this answer plzzz​

Answers

6:5= 1.2

25•1.2=30cm²

Answer 30cm²

Lenard spent $56 on cookies. If each box cost $7, how many boxes did he buy?

Answers

Answer:8

Step-by-step explanation:

56 divided by 7 is 8

Brainliest plz

WILL MARK BRAILIEST TO THE PERSON WHO GET IT RIGHT!
PLZZ HELP!

What is the volume of wax in the candle? Use 3.14 for π and round your answer to the nearest tenth?

Answers

Answer:

Hello! Your answer would be,  = 1020.5

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

Please help me complete this. And please do not guess
Answer the following questions:
1. Find the scale factor of ABCDE to VWXYZ.
2. Find the scale factor of VWXYZ to ABCDE.
3. Find the value of r.
4. Find the value of s.
5. Find the value of t.
6. Find the value of u.
7. Find the perimeter of ABCDE.
8. Find the perimeter of VWXYZ.
9. Find the ratio of the perimeter ABCDE to the perimeter of VWXYZ.

Answers

Answer:

1. 1/3

2. 3

3. 9

4. 13.5

5. 7

6. 5

7. 23.5

8. 70.5

9. 1:3

2x-7=-3x9 what value of x would make this equation true

Answers

Answer:

17

Step-by-step explanation:

I need help please and thanks

Answers

Answer:

hi

Step-by-step explanation:

[tex] {12}^{2} + {x}^{2} = {14}^{2} \\ 144 + {x}^{2} = 196 \\ {x }^{2} = 196 - 144 \\ {x}^{2} = 52 \\ x = 2 \sqrt{13} [/tex]

i think so

hope it helps

have a nice day

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