Mathematics High School

A line passes through the point (6,-1) and is perpendicular to the line with equation - 2x + 3y = -6.
Which is the equation of the line?

A Line Passes Through The Point (6,-1) And Is Perpendicular To The Line With Equation - 2x + 3y = -6.Which

Answers

Answer 1

Answer: y = − 3/2 x + 8

Step-by-step explanation:

Find the Perpendicular Line

Solve −2x + 3y = −6.

y = −2 + 2x/3

Find the slope when y = −2 + 2x/3 .

m = 2/3  

The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

[tex]m[/tex] perpendicular = [tex]-\frac{1}{\frac{2}{3} }[/tex]

Simplify to find the slope of the perpendicular line.

perpendicular = −3/2

Find the equation of the perpendicular line using the point-slope formula.

y + 1 = − 3/2

⋅ (x − 6)

Write in y = mx + b form.  

y = − 3/2 x + 8

Related Questions

An online clothing company sells custom sweatshirts. The company charges
$5.50 for shipping plus $8.00 for each sweatshirt. Write a linear function rule that models the total
costy (in dollars) for any number of sweatshirts x

Answers

Well, the equation for this problem is 5.50x + 8.00.
The y-intercept / initial value in the problem is $5.50 because that is what you have to pay and it’s basically your initial value whereas $8.00 is your slope or rate if change because that is why you have $8.00x which means that whatever number of sweatshirts you buy, they will each cost you $8.00.

Just answer the question if you actually answer it you get brainliest and 50 points.

Answers

Step-by-step explanation:

f(x) = a * b^x

We have the following information:

f(0) = a * b^(0) = 15. => a * 1 = 15, a = 15.

f(1) = a * b^(1) = 9. => a * b = 9, (15) * b = 9, b = 0.6.

Hence f(x) = 15 * 0.6^x.

5. Read the problem carefully, then choose the inequality that best represents this real life situation. Explain your thinking. Lydia spent $2.50 per pound on apples and $1.80 per pound on oranges. She spent at most $22. Which inequality represents this situation?
(Let a = pounds of apples, and r = pounds of oranges)
a) 2.50 + 1.80 = 22
b) 2.50a + 1.80r = 22
c) 2.50a + 1.80r ≤ 22
d) 2.50a + 1.80r ≥ 22 ​

Answers

Answer:

B

Step-by-step explanation:

The answer is B

B. 2.50a + 1.80r =22

How many quarters and dimes must Jada have to equal $2 and 17 coins?

Answers

quarters: 8

dime: 1

explanation: 8 quarters = 2$ and 1 dime = 10 cents

Dakota received a mark of 68% on his math test.
The test had 25 questions.
How many questions did Dakota answer correctly?

Answers

Answer:

17 right

Step-by-step explanation:

68 percent of 25 is 17

PLEASE MARK ME AS BRAINLIEST!!!!!<3

Dakota answers 17 questions correctly

What is the product of d – 9 and 2d2 + 11d – 4?

2d3 – 7d2 – 103d + 36
2d3 – 7d2 – 95d + 36
2d3 + 7d2 – 95d + 36
2d3 + 7d2 – 103d + 36

Answers

Answer:

A.

2d3 – 7d2 – 103d + 36

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

b) Prove that
Tan 47°\cot 43°= 1​

Answers

Answer:

Here's the proof

Step-by-step explanation:

tan(47°)/cot(43°)

=tan(90°-47°)/cot(43°)

=cot(43°)/cot(43°)

=1 (proven)

Answer:

Step-by-step explanation

Loll

Help ill mark u brainliest

Answers

answer:

8x - 16 + 5x + 15 = 90

and

8x - 6 + 18x + 4 = 180

i have no clue what this one is can someone help

Answers

Answer:

the answer is b

Step-by-step explanation:

radius is half the number of diameter

BRAINLIST PLEASEEEE HELP

Answers

Answer:

About 527.79

Step-by-step explanation:

formula is A=2πrh+2πr^2

Answer:

[tex]527.52\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The surface area of this cylinder consist of two circles and a 3D outer edge with respect to the circumference. The area of a circle is given as [tex]r^2\pi[/tex]. Using [tex]\pi=3.14[/tex] as requested in the problem, the area of both these circles is:

[tex]2\cdot6^2\cdot 3.14=226.08\:\mathrm{in^2}[/tex].

The area of the outer edge is the circumference of the circle multiplied by the height. The circumference of a circle is given by [tex]2r\pi[/tex].

Therefore, the circumference's 3D outer edge is:

[tex]8\cdot2\cdot6\cdot 3.14 = 301.44\:\mathrm{in^2}[/tex].

Adding these up, the total surface area is:

[tex]226.08+301.44=\fbox{$527.52\:\mathrm{in^2}$}[/tex].

what is x ? pleasee help !!!

Answers

Answer:

It is an unknown number but add 16 + 32 degrees and you get 48x degrees then multiply 48 X 72 degrees and you get 336 degrees.

Step-by-step explanation:

Write the rational number as a decimal. −1/15=

Answers

Answer:

Step-by-step explanation:

1.15

Answer:

-0.067

Step-by-step explanation:

this is a answer

Please help. Will go be brainliest

Answers

Answer:

a

Step-by-step explanation:

7/9 * 10/9 * 0.62 =

(7 * 10 * 62) / (9 * 9 * 100)

Multiply

4340 / 8100

Simplify by dividing by 20.

217/405 (about 0.535)

This is less than 2/3 (about 0.66), so it has to be "a" because all the other options are greater than 2/3

Convert the measurements. Help me ASAP please!

Answers

Answer: 22.86

Step-by-step explanation:

9 inches = 22.86 centimeters:)

help me pleaseeeeeeee​

Answers

wouldn’t that be 0.36

Manuel opened a savings account with an initial balance. Each week he adds $20 to the account. After 6 weeks he has $170 in the account.
Find and interpret the rate of change and the initial value.

Answers

He starts with 50 because 6x2=12 add a zero u get 120 then subtract that from 170 and you get 50


If you paid m dollars for a meal at a restaurant. Write an expression that will represent the amount you will pay, including a 15% tip
NEED HELP ASAP

Answers

The answer for this I believe would be m(x)+15%

I WILL GIVE BRAINLIEST TO RIGHT ANSWER
write an equation of the line in a slope intercept form of a line that passes through (5,7) and (4,4)

Answers

Answer:

y = 3x - 8

Step-by-step explanation:

passes through (5, 7) and (4, 4)

Find slope:

(7 - 4) / (5 - 4)

= 3/1

= 3

This is your slope.

Now plug in a set of coordinates.

y = 3x + b

7 = 3(5) + b

7 = 15 + b

b = -8

Your equation is: y = 3x - 8

Check your work by plugging in the second coordinate pair.

y = 3x - 8

4 = 3(4) - 8

4 = 12 - 8

4 = 4

Your solution is correct.

Joe buys a compact disc that costs $29.99. He give the store clerk $50.00.

How much change should he get?

Answers

Answer:

$20.01

Step-by-step explanation:

Simply subtract $29.99 from $50.00 so, your problem should be set up like this:

You substitute the numbers with 10s, but there cannot be more than one.

Answer:

$20.01

Step-by-step explanation:

You should subtract 50.00 and 29.99, and since there are three zeros, you have to borrow from the five, making it a four. Then, you make the first zero into a 10, then borrow from that one, making it a nine, same with the second zero. Then, for the third zero, you only borrow one from the second zero, turning the second one into a nine and the third on into a 10. You then start the subtracting process. This is the first part to the problem:

50.00 - 29.99 = ?

Then, this is what you should have after:

49.91(0) - 29.99 = ?

This is what you get after:

20.01

Then, add the dollar sign. You will get:

$20.01

Hope it helped!

Answer and will mark brainliest

Answers

Answer:

30

Step-by-step explanation:

what does m2+ m3= ???????????

Answers

Answer:

M2+m3=90

Step-by-step explanation:

Angle 1 already is equal to 90. A triangle can only go up to 180 wo the other two angles have to add up to 90.

pleaseee help meee will give brainliest or whateva

Answers

Answer:

The value of x = 12.

Step-by-step explanation:

We know that two angles are termed as supplementary when the sum of the measure of their angles is 180°.

We also know that a straight line angle measures 180°.

It is clear that the angles 72° and 9x° line on a straight line. Thus, the sum of the measure of their angles is 180°.

Therefore,

9x° + 72° = 180°

9x° = 180° - 72°

9x° = 108

divide both sides by 9

9x/9 = 108/9

x = 12

Therefore, the value of x = 12.

Please help!!!
Composition of functions~

Answers

Answer:

option D

Step-by-step explanation:

First you must find g(n) given that n is -3n:

g(-3n) = -3n - 1

Then plug that in f(n) as the new n:

f(n) 3( -3n - 1) + 5

= -9n -3 + 5

= -9n + 2

So option D

Type the correct answer in the box. If necessary, use / for the fraction bar.
A fish tank is a cube. Its side length is 4 1/2 feet.
The volume of water needed to completely fill the fish tank is ______ cubic feet.

Answers

Answer:

15 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

I really need help with this

Answers

Answer:

1/2 or .5

Step-by-step explanation:

you find 2 points that the line goes through, then you find the rise/run. lastly you simplify if you can, then you have the answer

write an expression that is equivalent to 3/4 a + 2/3 - 1/2 a - 1/3 + 1/2 a​

Answers

Hi there is this 0pp called Math-way that will help

A rectangular prism measures 7 & 1/2 cm by 12 cm by 15 & 1/2 cm. Calculate the number of cubes with edge length 1/2 cm that fit in this prism.

Answers

Answer: 8 cubes

Step-by-step explanation:

Volume of a rectangular prism is length × height × width

Length=7 1/2

Width= 15 1/2

Height=12

Volume of the prism is therefore:

7 1/2×12×15 1/2= 1395cm3

No of cubes with edge length 1/2 to fit into the prism will be:

Volume of cube is L*W*H

1/2*1/2*1/2= 1/8cm3

Therefore the no of cubes to fit into the Prism will be:

1395/(1/8)= 11160 cubes.

If one was stuck,the number of 1/2 edge length

cube to fit into 1cm will be:

1/(1/8)= 8 cubes

Which equation could be a true statement by substituting n with a number greater than 10? A 10=n + 1/2. B 10=2n. C 10= n - 0.5. D 10 = 2 ( divided) n

Answers

Answer:

I can't read it.

Step-by-step explanation:

There are 4 cups in a row from left to right. The green cup is somewhere between the yellow and blue cups. The red cup is somewhere left of the yellow cup. Based on that information, how many different arrangements of these cups could there be?

Answers

Answer:

Le answer tis 4 UwU

Step-by-step explanation: G'day mate!

P.S- Brainlest plzz??

Answer:

5

Step-by-step explanation:

e

You must be at least 42 inches tall to ride the bumper cars at an amusement park. Write an inequality that represents this situation. Let x represent the heights of people who are allowed to ride the bumper cars.

Answers

Answer:

x ≥ 42

Step-by-step explanation:

If you must be at least 42 inches tall to ride the bumper cars at an amusement park, this means that the minimum average height you can have is 42in i.e you can be more than 42inches tall.

The right inequality sign to represent this situations is a "greater than or equal to sign"(≥)

If x represent the heights of people who are allowed to ride the bumper cars, the required inequality expression will be x ≥ 42

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