What is an equation of the line that passes through the point
(-6, – 7) and is perpendicular to the line 6x + 5y = 30?
HELP!!!

Answers

Answer 1

Answer:

(y+7)=5/6(x+6)

Step-by-step explanation:

For this problem we need to use Point-Slope Form to write an equation.

We already have the point, (-6,-7), so all we need now is the slope, which we know is perpendicular to the line 6x+5y=30.

First, let's find the slope of 6x+5y=30 by converting it into Slope-Intercept Form, which is y=mx+b. m is the slope.

6x+5y=30

5y=-6x+30

y=-6/5x+6

So the slope of this line is -6/5, but we need the slope of the line is perpendicular to this line.

When a line is perpendicular to another, their slopes are negative reciprocals to one another, or opposite reciprocals. For example, a line that is perpendicular to another line that has a slope of 3/4 will have a slope of -4/3. Flip the numerator and denominator to find the reciprocal and add a negative.

x

So the negative reciprocal of -6/5 is 5/6, so that is our slope.

Now we can assemble our equation, here is the Point-Slope Form:

[tex](y -y_{1}) =m(x-x_{1})[/tex]

again, m is our slope.

[tex]y_{1}[/tex] and [tex]x_{1}[/tex] represent the coordinates of the point that this line passes through, (-6, -7).

Let's plug in the y, x, and m values:

(y-(-7))=5/6(x-(-6))

Simplify:

(y+7)=5/6(x+6)

That is our final answer.


Related Questions

Ralph drove 272 miles in 4 hours. What was his average
speed? (per single hour – unit rate)PLEASE HELP MEE

Answers

answer: 68

work:

all you basically do is just divide 272 by 4

If Ralph drove 272 miles in 4 hours then 68 miles per hour is the average speed

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that Ralph drove 272 miles in 4 hours

We need to find his average speed

The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time

Speed=Distance/ Time

Average speed=272/4

=68 miles per hour

Hence, if Ralph drove 272 miles in 4 hours then 68 miles per hour is the average speed

To learn more on Division click:

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if there are 10080 minutes in a week, how many seconds are in a month

Answers

2592000 seconds you could of looked it up lol
Multiply 10080 by 4 which is 40320 minutes a month, then multiply by 60 so that would be 2419200

2 x + 3 = x − 4 solve the equation

Answers

Answer:

- 7

Step-by-step explanation:

Step 1:

2x + 3 = x - 4      Equation

Step 2:

2x = x - 7      Subtract 3 on both sides

Answer:

x = - 7      Subtract x on both sides

Hope This Helps :)

Help!! Willmark brainliest!Can you guys please answer these 2 questions???

Answers

Answer:

1. A, 2 meters per second

2. F, 15

Classify the number −25.

Answers

Answer: a negative integer, rational number, and real number

Step-by-step explanation:

I don’t know exactly what you’re asking but here you go

Answer:
Rational, integers, and real numbers


What is the slope of a line perpendicular to the line passing through (1, -3) and (-4, 7)?

Answers

Answer:

-2

Step-by-step explanation:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

PLZ HELP ME ASAP! ITS DUE TODAY!! I WILL MARK YOU BRAINLIEST IF YOU ANSWER RIGHT!! What are the new vertices for A, B and C?

Answers

Answer:

A'(1,1) , B'(5,3), C'(2,5)

Explanation:

when you reflect anything over the line y = x, that is the same thing as taking the inverse(you swap the x and y values)

15. A music store sells a copy of a deluxe electric guitar for $295. This is $30 more
than 1/3 the cost of the actual deluxe guitar it is modeled after. What is the cost
of the deluxe electric guitar? Find your solution below. Type the code in exactly.
(ALL CAPS, NO SPACES). Example: If my answer was -76.1 l would type in KHGLB

Answers

Answer:

It costs $795

Step-by-step explanation:

$30 more than one half so you have to subtract 30 from 295 then that's 265 which is 1/3 of the acual price. So then you have to multiply 265 by 3 then you get $795.

Let
f(x) = {3x - 7}/{x + 1] Find the range of f.

Give your answer as an interval.

Answers

Answer: Range = (-∞, 3) U (3, ∞)

Step-by-step explanation:

The range is the set of all y-values in a function. The easiest and most straightforward way to find the range is to graph the function and find asymptotes, or locations on the graph where the function lacks y-values.

You can plug in a few points to the equation, as shown in this table below.

After you have your points, you can draw your function following the points, as shown in the next image. Notice the line at y = 3, where the function does not cross. Although it will get infinitely close to the line, the function will never meet or cross this point at any x-value. This is what is known as a "horizontal asymptote", and is not included in the range of the function.

We can represent this asymptote in a range, which is a representation of all possible y-values in the function. The possible y-values for this function start at negative infinity and end at infinity, but do not exist at y = 3, so we represent this through this mathematical expression:

Range = (-∞, 3) U (3, ∞)

Graph
Y=-1/2x+4
Y=3x+11

Answers

search up desmos graph and graph it there it’ll help you

Jennifer added the product 125 and 58 to the product of 357 and 42 what is the sum?

Answers

Answer:

22244

Step-by-step explanation:

(125*58)+(357*42)=22244

given g(x)=0.5x^2-5x+3.5, find g (4a)

Answers

Answer:

  g(4a) = 8a^2 -20a +3.5

Step-by-step explanation:

Put 4a where x is and simplify.

  g(x) = 0.5x^2 -5x +3.5

  g(4a) = 0.5(4a)^2 -5(4a) +3.5

     = 0.5(16a^2) -20a +3.5

  g(4a) = 8a^2 -20a +3.5

I NEED HELP ASAP the cube shown below holds 64 cubic centimeters of water. label the dimensions of the cube.

Answers

This seems to be either an area question or a volume question.

So if it’s area use LengthxWidth so it would be 8x8=64.

If it’s volume use LengthxWidthxHeight which could Length=4 Width=2 Height =8 or a version of that

I hope that helped!!!

The dimension of cube is 4 cm

What is volume of cube?

A cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each [tex]vertex[/tex].

The formula of volume of the cube is given by: Volume = a3, where a is the length of its sides or edges.

Given:

volume of cube= 64 cm³

Now, Volume of cube = 64

a*a*a= 64

a³ = 64

a= ∛64

a=4 cm

hence, the edges of cube is 4 cm.

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You have $1.55 worth of dimes and nickels in a jar. There are 23 coins in the jar. How many dimes do you have? How many nickels do you have

Answers

i believe the answer is 35 dimes and 65 nickels (sorry if i’m wrong lol)

With the equation 3z+3=2z+6

Answers

Answer:

z = -3

Step-by-step explanation:

Simplifying

3z + -3 = 2z + -6

Reorder the terms:

-3 + 3z = 2z + -6

Reorder the terms:

-3 + 3z = -6 + 2z

Solving

-3 + 3z = -6 + 2z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-2z' to each side of the equation.

-3 + 3z + -2z = -6 + 2z + -2z

Combine like terms: 3z + -2z = 1z

-3 + 1z = -6 + 2z + -2z

Combine like terms: 2z + -2z = 0

-3 + 1z = -6 + 0

-3 + 1z = -6

Add '3' to each side of the equation.

-3 + 3 + 1z = -6 + 3

Combine like terms: -3 + 3 = 0

0 + 1z = -6 + 3

1z = -6 + 3

Combine like terms: -6 + 3 = -3

1z = -3

Divide each side by '1'.

z = -3

Simplifying

z = -3

Answer:

=3z+3=2z+6

=3z-2z=6-3

=z=3

hope you like the answer

please mark the answer as brainliest

If 5/x = 15/x+20, what is the value of x/5?

Answers

Answer:

c) 2

Step-by-step explanation:

here you can use cross multiplication. that's where you turn the fraction into an equation. ( there's videos about it, I'm not very good at explaining )

so you can turn

[tex]\frac{5}{x} = \frac{15}{x + 20}[/tex]

into

5(x + 20) = 15x

5x + 100 = 15x

subtract 5x from both sides

100 = 10x

x = 10.

the value of x/5 would be 2, since 10/5 is 2.

Since x/5 is the reciprocal of 5/x, we know that we can flip the fraction on the right hand side will be flipped.

Thus, x/5 = (x + 20)/15

Now we cross multiply, 15x = 5(x + 20)

Simplify: 15x = 5x + 100

Subtract 5x from each side: 10x = 100

Divide 10: x = 10

Now plug 10 back into the right hand side: (10 + 20)/15

So, the answer is 2.

At 7 AM it is 20° F and the temperature is dropping at a rate of 4° F per hour. What will the temperature be at
11 AM?

Answers

Answer:

4 degrees farenheight

Step-by-step explanation:

Answer:

4 degrees

Step-by-step explanation:

7am to 11am is 4 hours.

So now multiply 4 hours*4* F = 16

So the temperature decreased 16 degrees.

20-16=4

It was 4 degrees at 11 am.

which of the following equations are linear?

y=2x - 1/2

y= -1/2x +2

y= -x^2

Answers

Answer:

y=2x-1/2

Step-by-step explanation:

that's the correct anwsers

To rent a certain vehicle, Rent-A-Ride charges $55.00 per day with unlimited miles. The cost of renting a similar vehicle at We Got Wheels is $38.00 per day plus $0.20 per mile. For what number of miles is the cost at Rent-A-Ride less than the cost at We Got Wheels?

Answers

Given :

Rent-A-Ride charges $55.00 per day with unlimited miles. The cost of renting a similar vehicle at We Got Wheels is $38.00 per day plus $0.20 per mile.

To Find :

For what number of miles is the cost at Rent-A-Ride less than the cost at We Got Wheels.

Solution :

Let, after x miles Rent-A-Ride charges is less than the cost at We Got Wheels.

Price at Got Wheels > Price at Rent-A-Ride

38 + 0.20x > 50

0.20x > 12

x > 60

Therefore, after 60 days cost at Rent-A-Ride less than the cost at We Got Wheels.

Hence, this is the required solution.

The black graph is the graph of y = f(x). Choose the equation for the red graph. A. y + 4 = f(x) B. y - 4 = f(x) C. y = f(x - 4) D. y = f(x + 4)​

Answers

The equation is m4-m77=m99

The right equation of the red line will be f(x)=y-4 if the equation of the black line is f(x)=y

What is the equation?

The equation is like a relationship between variables.

What is a variable?

A variable is anything which have a value.

How to form an equation?

If we see the points of red line and the lack line we can see the value of x in black line is 4 greater than red line so the equation will be

f(x)=y-4 for the red line for the given equation of the lack line which is f(x)=y

Learn more about variables at https://brainly.com/question/2804470

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9/18 = 9?
(simplify)

Answers

Answer:

1/2

Step-by-step explanation:

Because 9 is half of 18

Please help meeeeeeeeeee

Answers

Answer:

-3, 25, 53

Step-by-step explanation:

f(x) = 4x + 9

f(-3) = 4(-3) + 9

f(-3) = -12 + 9

f(-3) = -3

f(4) = 4(4) + 9

f(4) = 16 + 9

f(4) = 25

f(11) = 4(11) + 9

f(11) = 44 + 9

f(11) = 53

Answer:

-3, 25, 53.

Step-by-step explanation:

0.075km, 7.6m, 77cm, 780mm from smallest to largest

Answers

Answer:

77cm, 780mm, 7.6m, 0.075km

this is the best answer

What is the equation of
Slope is 0, y - intercept is 5

Answers

the answer i believe would be y=5 since there is only a y-int.
I believe that the answer would be

y = 0x + 5

For every 15 students who run track, there are 7 students who play baseball. There are 112 more students who run track than play baseball. How many students run track? How many students play baseball? Select your answers from the drop-down lists.

Answers

Answer:

210 students run track and 98 students play baseball

Step-by-step explanation:

For every 15 students who run track there are 7 students who play baseball

There are 112 more students who run track than play baseball

Let y represent the various groups of students

15 × y= 15y

7 × y= 7y

15y - 7y = 112

8y = 112

Divide both side by the coefficient of y which is 8

8y/8 = 112/8

y= 14

Therefore the number of students that run track is

= 15 × 14

= 210

The number of student that play baseball is

= 7 × 14

= 98

Hence 210 students run track and 98 students play baseball

The temperature rises 4 degrees every hour for 10 hours. What is the constant of proportionality in this situation? *

Answers

Answer:

4:1 40:100 I'm not 100% sure but yea

The difference of two positive numbers is 13. The larger number is nine less than twice the smaller number. Find
the numbers.
The numbers are

Answers

This is solution.

Click on the photo to view full solution.

Find the area of a circle with a radius of 4 feet. Use 3.14 for Pi

Answers

the area of a circle with a radius of 4 is 157.7536

the opposite side of a parallelogram are 2x,+10 and 5x-20 find the length of the side of the parallelogram represented by 4x-1​

Answers

Answer:

39

Step-by-step explanation:

5x-20=2x+10 (opposite sides of parallelogram are equal)

5x-2x=10+20

3x=30

x=30/3

x=10

Now putting the value of x in 4x-1, we get

(4×10)-1

= 40-1

= 39

what is the measure of the complement of JKI? the supplement

Answers

The answer would be 35 and for supplement it would be 125

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