Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6.

Answer:

y = -5/3 * x - 40/3

Step-by-step explanation:

A perpendicular line has an opposite and a reciprocal of the slope.

Your equation should be:

-5y = -3x +6

Divide all parts by -5.

y = 3/5x - 6/5

Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.

Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).

In put the y and x coordinates like this:

y - 0 = -5/3(x - (-8)

Start solving the equation.

y - 0 = -5/3(x + 8)

y - 0 = -5/3 * x - 40/3

y = -5/3 * x - 40/3

This is your equation.

y = -5/3 * x - 40/3

(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)

9514 1404 393

Answer:

  5x +3y = -40

Step-by-step explanation:

When the equation of a line is given in standard form, the equation of the perpendicular line can be found by swapping the coefficients of x and y, and negating one of them.

Here, that means the equation ...

  3x -5y = constant

becomes

  5x +3y = new constant

The value of the new constant is found by putting the given point coordinates in the expression on the left:

  5x +3y = 5(-8) +3(0) = -40

The equation of the perpendicular line is ...

  5x +3y = -40

54÷6+0.42×(9×8÷2+82)

What is the distance between the
two points
(7.8)
{3,2)

State the slope and y-intercept of the graph of y - x = -2.

the square root of 72 is it closer to 8 or 9

Rent is VERY expensive in Garden City, but after you graduate, you know you want to move into
your own apartment. You have been working the last 2 years and have saved $5,000. If rent is $750
a month, how many months could you pay full rent with your savings?

Question 1

Solve the equation formed when f (x) = g(x).

f (x) = 3x – 4
g(x) = -2x + 1

X = -4
X = -1
X = 1
X = 4

The equation y = 5.5x represents a proportional relationship What is the constant of proportionality?

A student says that if 5x4 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer DIONE​

What is the equation of in line slope intercept from that has a slope of 4 and goes through the point -8 -16

2 2 7 :(0.6x)= 4 21 :0.25

lol my phones taken away until i finish this question help

jules loses a golf ball

PLEASE HELP ME! I NEED YOU TO HELP ME! WHOEVER ANSWERS CORRECTLYWILL GET A BRAINLEST AND POINTS!!!

On a chapter test, Stephanie uses the rules of equation solving and inverse operations to solve the cubic equation below. The directions on the test are not very specific, however, they do say to give an exact solution. Stephanie is not sure if she should submit a decimal approximation or a simplified radical as the answer.

4x3 = 756

What recommendation can you make to Stephanie regarding her answer to the cubic equation above? In your recommendation, explain what the term "exact" indicates with regards to the solution.
Solve the cubic equation from Stephanie’s test. Submit two solutions for the equation- a) your answer as a decimal approximation, rounded to the nearest hundredth, and b) as a simplified radical. Use substitution to check each version of your solution in the original equation.
After solving the test question and checking both the decimal solution and the simplified radical form, would you change your recommendation (in Part 1) to Stephanie regarding the format of her answer? Use complete sentences to explain your reasoning.

i have a question can someone help me!!
−7+m/2=−12
Solving Two-Step

Please answer this..........

A bag contains 5 red marbles, 3 blue marbles, 7 yellow marbles, and 2 green marbles. Which ratio can be used to compare the yellow marbles to the blue marbles?

please help me with this ​

I need help big time ​

Greta offers to buy a team photo for 15 of her teammates, but 6 of them don't want one. If a team photo costs $2, how much will Greta spend on her teammates? Choose the correct expression and solution to this problem .

Lisa puts $8,000 in an account that earns 12% simple annual interest. If she leaves her money in the account for 4 years, how much interest will she earn?

Change each radian measure to degree measure

Estimate by rounding both numbers to tens and then divide.
61 ÷ 29 is approximately

please help asap! it’s 1-10!

What’s it the slope of the line

Solve and graph the following solutions to
the following inequality. SHOW ALL WORK.
3
- r < -15.

Gavin has $50,000 with which to start a new business. He wants to maintain a cash balance of more than $26,000.
If w is the amount Gavin withdraws to pay for expenses, the inequality representing the situation is BLANK. The amount he can withdraw is given by BLANK.

The dimensions for a rectangular prism are x + 7 for the length, x + 9 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form. The volume of the prism can be expressed as _____.

Determine the intercepts of the line.
-4x + 7 = 2y - 3
y-intercept:
X-intercept:

Steven is comparing the cost of a fresh lobster dinner at two different restaurants. The first
restaurant charges $51 for the meal, plus $2 per pound for the lobster he picks. At the
second restaurant, Steven would pay $4 per pound for the lobster, in addition to $19 for the
meal. Steven realizes that, in theory, dinner at both restaurants could cost the same amount
if the lobster had a certain weight. How much would Steven pay for his dinner? What is the
weight?

A freight train traveling along a certain route uses 12 units of fuel per mile plus an additional 2.2 units of fuel per mile for each railcar on the train. Let N represent the number of railcars on the train. What is an expression for f(N), the total number of units of fuel used per mile? find f(12). How many railcars does the train have if f(N)=34?

While traveling in Canada, a police officer pulls you over for speeding. The posted speed limit is 100
km/hr. She asks you if you know how fast you were driving. You suddenly realize that your
speedometer's "100" measures miles/hr, not km/hr. How fast were you going?