Find the equation of the line l that is perpendicular to -3x + 6y = 11 and I passes
through the point (-2, 3)

Answers

Answer 1

Answer:

Step-by-step explanation:

-3x + 6y = 11

Put into slope-intercept form to find the slope

6y = 3x + 11

 y = 3x/6 + 11/6

 y = ½x + 11/6

so slope is ½

perpendicular lines have negative reciprocal slopes, so our perpendicular line has slope -2

the slope point form of the perpendicular line will be

(y - 3) = -2(x -(-2))

(y - 3) = -2(x +2)

the slope intercept form will be

y = -2x - 4 + 3

y = -2x - 1


Related Questions

what is the slope of
12(x−6)=4(y+3)

Answers

Step-by-step explanation:

the slope is always the factor a of x in the form

y = ax + b

so let's transform the original equation into this form :

12(x - 6) = 4(y + 3)

12x - 72 = 4y + 12

12x - 84 = 4y

3x - 21 = y or y = 3x - 21

therefore, the slope is 3.

What is the area of a square whose perimeter is 12x cm?

Answers

Answer:

9

Step-by-step explanation:

12/4=3

3*3= 9

Filler and more filler

The area of  the square is 9 [tex]cm^{2}[/tex].

What is area?

The space occupied by a flat shape or the surface of an object is called area.

Formula for the area of square?

[tex]Area = a^{2}[/tex]

Where, a is the length of the side of a square

What is perimeter?

Perimeter is the total length of the sides of a two-dimensional shape.

Formula for the perimeter of square

Perimeter of a square = 4a

Where, a is the side of a square

According to the given question

Perimeter of a square is 12cm.

Let a be the length of the side of a square.

Therefore,

Perimeter of the square = 4a

⇒ 12 = 4a

⇒ a = 12/4

⇒ a = 3cm

So, the area of square = 3cm × 3cm = 9 square cm

Hence, the area of  the square is 9 [tex]cm^{2}[/tex].

Learn more about  area of square here:

https://brainly.com/question/1658516

#SPJ2

The table shows a linear relationship between x and y.​ how can you tell that x and y are NOT porportianal

Answers

If y/x does not always equal the same

Elijah was six times as old as his son. In twelve years he will be twice as old as his son. How old are they now

Answers

To solve this, we need to turn this word problem into a system of linear equations. To do this, let's use x to stand for Mr. Fontana's age, and y to stand for his son's age.

The first sentence states that eight years ago, Mr. Fontana was six times as old as his son.

eight years ago = x - 8

Fontana was six times as old as his son = 6(y - 8). Remember, we need subtract 8 from his son's age, which is why I wrote it as 6(y - 8), and his father was 6 times his son's age 8 years ago, which is why I multiplied 6 by y - 8.

Now, putting this all together gives us our first equation:

x - 8 = 6(y - 8)

We can now rewrite this equation in standard form:

x - 8 = 6y - 48 ----->

x - 6y = -48 + 8 ----->

x - 6y = -40 <----- this is our first linear equation

To find our second, we need to turn the second sentence into an equation. It says that in 12 years, Mr. Fontana will be twice as old as his son:

x + 12 = 2(y + 12)

Now, we need to rewrite this equation in standard form:

x + 12 = 2y + 24 ----->

x - 2y = 24 - 12 ----->

x - 2y = 12 <----- this is our second linear equation. We now have our system of equations:

x - 6y = -40

x - 2y = 12

Now we can find the father's age (x) and his son's age (y). First, multiply the second equation by -1, giving us:

x - 6y = -40

-x + 2y = -12

Now we can add both equations together:

x - x - 6y + 2y = -40 + -12 ----->

-4y = -52

Solve for y, by dividing both sides of the equation by -4, giving us:

y = 13

So, now we know the son's age: 13

To find the father's age, replace y in either the first equation or the second equation, with 13. Let's use the first equation:

x - 6(13) = -40 ----->

x - 78 = -40 ----->

x = 78 - 40 ----->

x = 38

Therefore, Mr. Fontana is 38 years old and his son is 13 years old.

What is the range of the following function, if the domain is {1,3,12}?
f(x) = x - 3

Answers

I think this is the answer ( −∞,∞)

why do we learn about history? we are kids we can make a war

Answers

Answer:

Because if you didn't you would not know anything about the past.

Step-by-step explanation:

Yes

We learn about history because u need to know what went on back in the old days because u never know if it’s going to happen again like the war it might happen again really soon

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answer:

Try this on for size

Step-by-step explanation:

what is 4*6 i need help

Answers

24 is the answer because if you do 4 6 times you get 24.

r less than one-eighth

Answers

Answer:

what did you mean

Step-by-step explanation:

is not a question


(3x - 4x - 2 + 3x - 6 = 180
7x – 8 =

Answers

If we collect like terms of the first equation, we can simplify to

2x - 8 = 180

If we add 8 to both sides, we get

2x = 188

And that means x = 94

If we substitute this into the second equation, we get

7(94) - 8 = ?

7 x 94 is equal to 658

658 - 8 = 650

brainless for the person who gets this right!
which expression its equivalent

Answers

D

If we expand the parentheses, and multiply everything inside with everything outside, we get

4•6x + 4•11
Which is equal to 24x + 11

What number is 22.5% of 40?

Answers

Answer:

9

Step-by-step explanation:

To find this, first you must convert the percentage to a decimal. To do that, you must move the decimal point back two times.

22.5% --- 0.225

Then multiply the decimal by the number.

0.225 * 40 = 9

So, 22.5% of 40 is 9

Question: What is 40 percent of 22.5?

Answer: Nine






what does the E stand for in PEMDAS?

Answers

Answer:

Exponents

Step-by-step explanation:

Parentheses

Exponents and roots

Multiplication

Division

Addition

Subtraction

A student concludes that the solution to the equation ( 2×+1+3=0 is×=4

Answers

Answer:

x = -2

Step-by-step explanation:

2x + 1 + 3 = 0

2x + 4 = 0

x = -2

Factorise the following expressions.
a² + 8a + 16​​

Answers

Explanation :

________________________________

Factorizes:

⇒ a² + 8a + 16 = 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ a² + 4a + 4a + 16 = 0.

⇒ a(a + 4) + 4(a + 4) = 0.

⇒ (a + 4)(a + 4) = 0.

⇒ (a + 4)² = 0.

⇒a=-4.

Hence a=-4.

1 4 × √ 2 = 2 n Find N

Answers

7√2 = n

Divide by 2 on both sides.

what is the answer
-1/2n^2+18=0

n= ___ ​

Answers

Answer:

n  =  6 ,  − 6

Step-by-step explanation:

Take the root of both sides and solve.

[tex]-\cfrac{1}{2}n^2+18=0\implies 18=\cfrac{1}{2}n^2\implies 18=\cfrac{n^2}{2}\implies 36=n^2 \\\\\\ \stackrel{\textit{taking }\sqrt{~~}\textit{ to both sides}}{\pm\sqrt{36}=\sqrt{n^2}}\implies \pm 6 = n[/tex]

X=[-1,+∞),Y=R,f(x)=y sao cho y^2-2y=x∀x∈X

Answers

Answer:

30

Step-by-step explanation:

sh well cm to cm et FL to

lim
x→0

5x2 + 2x/sin(x) ?????

Answers

Answer:

114.59155

Step-by-step explanation:

Answer:

Sorry i didn't know that

Write the equation in standard form.
y - 10=-2(x-8)

Answers

Answer:

2x + y = 26

Step-by-step explanation:

The standard form of a linear equation is   A x + By = C.

Simplify -2(x - 8)

Multiply -2 by -8

y - 10 = -2x + 16

2x + y - 10 = 16

Add 10 to both sides.

Add 16 and 10

Answer= 2x + y = 26

Which of the following statements best describes the location of −(−1) on a number line? (5 points)

Question 6 options:

1)

It is 1 unit to the left of 0.


2)

It is 1 unit to the right of 0.


3)

It is 1 unit to the right of 1.


4)

It is 1 unit to the left of 1.

Answers

Answer:

It is 1 unit to the right of 0.

Step-by-step explanation:

The area
of this figure
is square inches.
20 in
28 in
30 in.
7 in
25 in.

Answers

Answer:

946 square Inches

Step-by-step explanation:

First, you should split up the shape into parts.

1st part 28x7

2nd part 30x25

We are multplying simply because

Area = Length x Width

Now that we have split up the parts lets multply them and add them togeher.

28 x 7 =  196

30 x 25 = 750

196 +750 = 946

So the area of this figure is 946 square inches.

Solve for x&y using substitution but do it step by step

Answers

Answer:

x +2y = 2 ...... 1

7x + 10y = 2 ..... 2

x = 2 - 2y ..... 3

substitute 3 in 2

7(2 - 2y) + 10y = 2

14 - 14y + 10y = 2

14 - 4y = 2

- 4y = 2 - 14

- 4y = - 12

divide by - 4 on both sides

y = 3

substitute the value of y in 3

× = 2 - 2(3)

x = - 4

(x ; y )

(- 4 ; 3)

To convert from Standard Form to Slope-Intercept Form the strategy is to solve for which variable?

b

m

y

x

Answers

Answer: y

Step-by-step explanation:

Slope intercept form is written as

Y=mx+b, so you’d solve for the variable y


Help please and thanks!

Answers

Answer:

9. x = 31°

10. m∠ABC = 62°

11. m∠BCA = 60°

Step-by-step explanation:

We are given the following values for ΔABC, and its exterior angle, ∠ACD:

In ΔABC, the two nonadjacent interior angles are:  

m∠A = 58° m∠B = 2x°

While the exterior angle, m∠ACD = (5x - 35)°.

In order to solve for questions 9 through 11, we must apply the Exterior Angle Theorem which states that the measure of the exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent or remote interior angles.

Question 9:

In order to find the value of x, we can use the Exterior Angle Theorem:

m∠ACD = m∠A + m∠B

(5x - 35)° = 58° + 2x°

5x° - 35° = 58° + 2x°

Subtract 2x from both sides:

5x° - 2x - 35° = 58° + 2x° - 2x

3x - 35° = 58°

Next, add 35° to both sides:

3x° - 35° + 35° = 58° + 35°

3x° = 93°

Divide both sides by 3 to isolate x:

[tex]\displaystyle\mathsf{\frac{3x}{3}\:=\:\frac{93}{3} }[/tex]

x = 31°

Therefore, the value of x = 31°.

Question 10:

In order to find m∠ABC, we must first substitute the value of x into m∠B:

m∠B = 2x° = 2(31)° = 62°

Therefore, m∠ABC = 62°.

Question 11:

In order to find m∠BCA, we must first find the value of its supplement, m∠ACD, by substituting the value of x derived from question 9.

m∠ACD = 5x° - 35° = 5(31)° - 35° = 120°

Next, substitute the value of m∠ACD into the following equation:

m∠BCA + m∠ACD = 180°

m∠BCA + 120° = 180°

Subtract 120° from both sides:

m∠BCA + 120° - 120° = 180° - 120°

m∠BCA = 60°

Therefore, m∠BCA = 60°.

Verify:

In order to verify whether we have the correct values for each interior angles, we can apply the Triangle Sum Theorem which states that the sum of all interior angles of a triangle is equal to 180°.  In other words:

m∠A + m∠B + m∠C = 180°.

58° + 62° + 60° =  180°

180° =  180° (True statement).

Am i blind or does this just not make any sense? Pls help!

Answers

Answer:

0.4

Step-by-step explanation:

2/5 converted into hundredths is 40/100.

40/100 as a decimal is 0.40, or 0.4

-hope it helps

It is C, 0.4, it is asking for the fraction to be a decimal

What I 0.00005164 written as a single digit times a power of ten

Answers

Answer:

5.164×10^-5

Step-by-step explanation:

[tex]5.164 \times {10}^{ - 5} [/tex]

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answer:

[tex]I(-1,0) \to I \ ' \ (-0.25,0)\\\\J(-1,1) \to J \ ' \ (-0.25,0.25)\\\\K(2,2) \to K \ ' \ (0.5, 0.5)\\\\L(2,-1) \to L \ ' \ (0.5,-0.25)\\\\[/tex]

======================================================

Explanation:

The fraction 1/4 is equivalent to the decimal form 0.25

We multiply 0.25 with each coordinate, of each point.

For example, let's focus on point L which is at (2,-1)

x = 2 becomes x = 0.25*2 = 0.5y = -1 becomes y = 0.25*(-1) = -0.25

Point L(2,-1) moves to L ' (0.5, -0.25) which will move it closer to the origin, which shrinks the image. Use this idea for the remaining points.

Note: this trick only works if the center of dilation is the origin.

Find m< FED Im
giving this question 20 points

Answers

Answer:

180° - (61° + 61°) = 58°

Step-by-step explanation:

we can see that two sides of the angle are equilateral making it equiangular therefore the other angle is 61° and solve for <FED

Two tanks hold a total of 61 gallons of a toxic solvent. One tank holds 4 gallons more than twice the amount in the other. How many gallons does each tank hold?

Answers

Answer:

tank 1 : 19 gallons

tank 2 : 42 gallons

Step-by-step explanation:

tank 1 : x

tank 2 : 2x+4 ( 4 more than twice the other )

x + ( 2x + 4 ) = 61

3x + 4 = 61 [ add x + 2x = 3x ]

3x = 57 [ subtract 4 on both sides ]

x = 19 [divide 3 on both sides ]

tank 1 : 19 gallons

tank 2 : 42 gallons

Other Questions
3.) Jason has one less dimes than quarters and twice as many nickelsas quarters. If he has a total of $4.40, how many of each typecoin does he have? What are the major causes of the contemporary plight of ldcs in international trade Which statement about diffraction is correct?O The amplitudes of two waves combine to appear as one big wave.O Sound waves bend around the corners of various obstacles.O The amplitudes of two waves combine to appear as a wave smaller than the individual waves.O Sound waves can only travel in straight lines. what is the keyboard shortcut to display formulas on the worksheet : a. CTRL+ B. CTRL+: C. CTRL+; D. ALL THE ABOVE Can someone help me with this please The large rectangle below represents one whole. What percent is represented by the shaded area? % do you agree with mrs hutchinson that the lottery is unfair why nepal should adopt balance diplomatic between the both neighboring countries China and India, why really need help with this At which x-values are the output values of the floor function g(x) = x and the ceiling function h(x) = x equal? Check all that apply. ""8 ""5. 2 ""1. 7 0 2. 4. 12. -2 times the difference of x and 4 is 14. What is the number Help...(MATH)....... Trying to find stocks. number of shared owned for. Nike, Sony, Apple and Netflix. For 20 days. Cant find it do plants need oxygen to make sugar? 1. Divide(7x2 - 13x+4) - (x-1) how do you graph parametric equation on desmos? To sign up for cable service, you must purchase the DVR recorderupfront, then pay $19.95 per month for service. Eight monthsafter signing up, Martha had paid a total of $288.60 for therecorder and service. Write and solve a linear equation to findthe total amount she will have paid for the 2-year agreement shesigned. How many solutions does this system of equationshave?InfiniteNoneOne A 2.2 kg model rocket is shot straight up in the air from the ground, with an initial velocity of 36.4 m/s. The rocket reaches its maximum height, and falls back to the ground. What is the maximum height of the rocket? Round your answer to 2 decimal places. Hello I am absolutely stumped on these six physics problems. Please help me on them.