What is the slope of a line that is perpendicular to a line whose equation is −6y=2x+7?
30 points and brainliest!

Answers

Answer 1

Answer:

The perpendicular slope is 3.

Explanation:

[tex]\sf slope\:intercept\:form :y = mx + b[/tex]

where:

m = slopeb = y-intercept

Given equation:

[tex]-6y=2x+7[/tex]

divide both sides by -6

[tex]\dfrac{-6y}{-6} =\dfrac{2x+7}{-6}[/tex]

simplify

[tex]y=\dfrac{2x}{-6} +\dfrac{7}{-6}[/tex]

when simplified more:

[tex]y=-\dfrac{1}{3}x -\dfrac{7}{6}[/tex]

Here the slope is -1/3

- - - - - - - - - - - - - - - - - - - - - - - -

[tex]\sf m_1 \times m_2 = -1[/tex]

where:

m1 = parallel slopem2 = perpendicular slope

Find perpendicular slope:

[tex]\sf -\dfrac{1}{3} \times m_2 = -1[/tex]

[tex]\sf m_2 = 3[/tex]


Related Questions

Select all the rates that are unit rates.

1. [tex]\frac{1}{1/3}[/tex]

2.[tex]\frac{2/3}{1}[/tex]

3. [tex]\frac{2}{3}[/tex]

4. [tex]\frac{3}{1}[/tex]

5. [tex]\frac{1}{9}[/tex]

Please help me im confused on what I do here..

Answers

Pretty sure it’s 2 and 4. A unit rate is usually something to one 1. So 1 would be in the denominator.

Find the value of x​

Answers

Answer:

97

Step-by-step explanation:

The interior angles of a hexagon add up to 720 degrees.

The angles given add to 613 degrees.

720-613=107

107=x+10

x=97

how do i write a linear equation and graph it

Answers

y= mx+b
b= y intercept
mx= slope
slope= rise/run

Write the equation of the line through (2,4) with a slope of 2/3 in Point Slope Form

Answers

Answer:

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

Step-by-step explanation:

The format for point-slope form is: y - y₁ = m(x - x₁)

where m is the slope, x₁ is the x-coordinate and y₁ is the y-coordinate.

In (2,4), 2 is the x-coordinate and 4 is the y-coordinate.

The slope is 2/3.

When you plug in the values, you get:

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

Hope this helps!

At a football game, $3,114 is collected for tickets. General Seating admission tickets are $10 while Reserved Seating tickets cost $18. A total of 245 tickets were sold. How many tickets of each type are sold?

Answers

Answer:

general:162 reserved:834

Step-by-step explanation:

Solve by using substitution

The area of a rectangle is 15 square inches. What wil be the area, in square inches, of the rectangle after it is dilated by a
scale factor of 2?

Answers

Answer:

60 inches²

Step-by-step explanation:

Unit test

The measure of an angle is nine times the measure of its complementary angle. What is the measure of each angle?
Will give 15 points plus Brainliest if your answer is correct!

Answers

Answer:

Step-by-step explanation:

90 is a complementry

90*9=810 degree.

Please help
What is the inverse of the function f(x) = 4x + 8?

Answers

Answer:

A) h(x) 1/4x -2

Step-by-step explanation:

x=4y+8

x-8=4y

y=1/4x-2

Answer:

(A) h(x) = 1/4 x – 2

Step-by-step explanation:

♥☺

Plzzzz help, it’s due today


Simplify 13.21.
O 63
O 24
O None of the above
O 3/7

Answers

Answer:

C

Step-by-step explanation:

Hopefully this helps

Will mark brainliest for whoever answers

Answers

Answer:

A

Step-by-step explanation:

A

6. Calculate the slope of the line given the two points: (4,9) and (7,11).

Answers

2/3 (fraction) is the slope of the line

can someone help with this?

Answers

Answer:

8 km

Step-by-step explanation:

To find the side square the hypotenuse and subtract it with the square of leg b.

289-225=64

square root of 64 is 8. Side a is 8


What is an equation of the line that passes through the point (2,-5) and is parallel
to the line 6x +y = 6?

Answers

Answer:

y = -6x + 7

Step-by-step explanation:

In this question, we need to find the equation of a line with the given information.

We know that the line passes through (2, -5).

We also know that the line is parallel to the line 6x + y = 6, which means that it has to have the same slope.

To make it simpler to understand, we can change the equation into slope format:

y = -6x + 6

This means that our new line should have a slope of -6.

With the information above, we can plug in our new values to get the y-intercept of our equations, since we don't have that information.

Plug in your slope and coordinates to the y = mx + b equation and solve for b:

-5 = -6(2) + b

-5 = -12 + b

Add 12 to both sides.

7 = b

Our y-intercept would be b.

Now, we can plug in all our information to get our new equation:

y = -6x + 7

Your answer would be y = -6x + 7

Solve -(10x + 1) + 4(x- 1) = -23

Answers

Answer:

x = 3

Step-by-step explanation:

-(10x + 1) + 4(x- 1) = -23  expand-10x - 1 + 4x - 4 = -23     combine similar terms-10x + 4x = -23 + 1 + 4   simplify-6x = -18                        divide -6 both sidesx = -18 / -6                     simplifyx = 3
x=3

1. distribute the negative.
2. subtract the numbers
3. combine like terms
4. add five to both sides of the equation
5. simplify
6. divide both sides of the equation by the same term
7. simplify again :)

have a good day

help pls thanks guys

Answers

Answer:

-2.4

Step-by-step explanation:

Let the unknown number be x.

-3.7 = -1.3(1) + x

-3.7 = -1.3 + x

x - 1.3 = -3.7

x = -3.7 + 1.3

x = -2.4

There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun
one time, what is the probability that the result is a multiple of 5 and a multiple of 2?

Answers

Answer:

1/12

Step-by-step explanation:

There is only number between 1 and 12 that is both a multiple of 5 and 2, that being 10. 10 has an equal chance out of all the other numbers that can be spun, and there are 12 numbers, so 10 has a 1/12 chance of being spun.

Pete was paid $30 for babysitting his cousin. He now has exactly enough money to buy a bike that costs $100.

Pete’s friend, Jim, has 150% of the amount Pete had before babysitting. How much money does Jim have?

Answers

He had 105 dollars. 150%=1.5 and 100-30=70 so 70x1.5 =105

Help ill make you brainlist write in y=mx+b form

Answers

Answer:

y=4x-35

Step-by-step explanation:

please mark as brainliest

Answer:

y = 3/12x

Step-by-step explanation:

18 - 12 = 6

37 - 13 = 24

6/24 = 3/12

PLEASE HELP NOW!! thanks:))

Answers

Answer:

I think it is A

Step-by-step explanation:

Answer: IT is the second option

Solve 8 the question and I’ll mark you brainliest ⭐️⭐️⭐️⭐️⭐️ but if you cheat I’ll report your answer

Answers

equilateral means that angles. the sum of the angles are 180. 180/3=60 bc there are 3 angles.

Express 80% as a percent as a decimal

Answers

Answer:

Step-by-step explanation:

0.8

Answer:

80% as a decimal would be 0.8

This is because 80% of 1 would be 0.8

Please help and show how you got to the answer!

Answers

Answer:

22.66666666666667

Step-by-step explanation:

jkjkjkjkjkjkj

15-18, use the properties of the exponents to write an equivalent expression for each given expression.


15. (4⁴)³



16. 3¹²




17. 4⁵ • 4²



18. 6⁴ • 2⁴











please help!

Answers

15.

[tex]( {4}^{4} ) {}^{3} [/tex]

[tex] = {4}^{4 \times 3} [/tex]

[tex] = {4}^{12} [/tex]

[tex] = 16777216[/tex]

___________________________________________

16.

[tex] \frac{ {3}^{12} }{ {3}^{3} } [/tex]

[tex] = {3}^{12 - 3} [/tex]

[tex] = {3}^{9} [/tex]

[tex] = 19683[/tex]

___________________________________________

17.

[tex] {4}^{5} \times {4}^{2} [/tex]

[tex] = {4}^{(5 + 2)} [/tex]

[tex] = {4}^{7} [/tex]

[tex] = 16384[/tex]

___________________________________________

18.

[tex] {6}^{4} \times {2}^{4} [/tex]

[tex] = ({6 \times 2})^{4} [/tex]

[tex] = {12}^{4} [/tex]

[tex] = 20736[/tex]

Which statement about 2 + 3x is true?

A. There are four terms in 2 + 3x.
B. 2 + 3x is a quotient.
C. 2 + 3x is a product.
D. 3 is the coefficient of x.​

Answers

Answer:

3 is the coefficeint of x

Step-by-step explanation:

Evaluate
41+31
21
Answers 10’ 8’ 15

Answers

Answer:

the answer its 15 I hope helps you

Step-by-step explanation:

If r+9=42 does r+9-9=42+9

Answers

Answer:

no i dont think so

Step-by-step explanation:

How many inches are in 2miles?

Answers

There are 126,720 inches in 2 miles

Write an equation of the line that passes through (3, 7) and is parallel to the line shown. (1, 4) (- 2, - 2)

Answers

Answer:

y=2x+1.

Step-by-step explanation:

You first need to find the slope of the line already graphed. -2 to 1 would be three units to the right, and -2 to 4 would be six units up. You would use the equation (y2-y1)/(x2-x1), where x1 and y1 would be the x and y values of the first coordinate of the graphed line, and x2 and y2 would be the second coordinate. This would be 6/3, which can be simplified to 2/1, which can be simplified to 2, which would mean the slope of the given line would be 2, as well as the parallel line. Now, you could use a pretty complicated equation to find the y-intercept of the line you need to graph, but I would recommend using the slope to find it. Since the given point is (3, 7), you would need to go to the left, meaning you would reverse the slope until you reach the y-axis, so you would use -2 as the slope. 3*-2=-6, and 7-6=1, so the y-intercept would be 1. The answer would be y=2x+1. Hope this helps.

4x - 2(x - 4) = -8 + 4x +4
solve the equation please

Answers

The answer is 6. X=6

Answer:

X=6

Step-by-step explanation:

First distribute

ie: 4x-2x+8=-8+4x+4

Next combine like terms

ie: 2x+8=-4+4x

Next subtract 2x from each side and add 4 to each side

ie: 12=2x

Then divide 2 from each side to get x alone

ie: 6=x  

Your friend first multiplies each side of 1/2 (x-9)=3/4 (5x+1) by 4 when solving the equation. Why might your friend do this?

Answers

Answer:

x = (-39)/11

Step-by-step explanation:

Solve for x:

x - 9 = (3 (5 x + 1))/4

Multiply both sides by 4:

4 (x - 9) = (4×3 (5 x + 1))/4

(4×3 (5 x + 1))/4 = 4/4×3 (5 x + 1) = 3 (5 x + 1):

4 (x - 9) = (3 (5 x + 1))

Expand out terms of the left hand side:

(4 x - 36) = 3 (5 x + 1)

Expand out terms of the right hand side:

4 x - 36 = (15 x + 3)

Subtract 15 x from both sides:

(4 x - 15 x) - 36 = (15 x - 15 x) + 3

4 x - 15 x = -11 x:

-11 x - 36 = (15 x - 15 x) + 3

15 x - 15 x = 0:

-11 x - 36 = 3

Add 36 to both sides:

(36 - 36) - 11 x = 36 + 3

36 - 36 = 0:

-11 x = 3 + 36

3 + 36 = 39:

-11 x = 39

Divide both sides of -11 x = 39 by -11:

(-11 x)/(-11) = 39/(-11)

(-11)/(-11) = 1:

x = 39/(-11)

Multiply numerator and denominator of 39/(-11) by -1:

Answer: x = (-39)/11

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