write an equation of the line that passes through (-1, 4) and is perpendicular to the line y=-1/3x+3​

Answers

Answer 1

Answer:

y= 3x + 7                                                                                                            Step-by-step explanation:

y= -1/3x+3 (so, gradient of this line is -1/3).

formula: gradient of line one x gradient of line two= -1 (applies for 2 perpendicular lines only).

So, m1 x -1/3= -1

m1= ([tex]\frac{-1}{\frac{-1} {3} }[/tex])

m1= 3 (gradient of perp line)

y=mx+c

4= 3 x -1 + c

7=c

therefore, y=3x+7 (eqn of the line perp to y=-1/3x+3)


Related Questions

Which equation describes the line with a slope of 5 and y-intercept of -3?
A y=-3x + 5
C y = 5x - 3
By= 3x - 5
D y = 5x + 3
Pls helpp

Answers

Answer:

[tex]y = 5m - 3[/tex]

Step-by-step explanation:

to understand the solving stepsyou need to know about:linear equationPEMDASgiven:

slope or m=5

y-intercept or b=-3

to find:

[tex]y = mx + b[/tex]

let's solve:

according to the question

[tex]y = 5m + ( - 3)[/tex]

[tex]y = 5m - 3 [/tex]

John borrowed $20,000 from Beth. He pays $500 per month in interest. What is the percentage interest rate?

Answers

Answer: 2.5%

Step-by-step explanation:

From the question, we are informed that John borrowed $20,000 from Beth and that he pays $500 per month in interest.

The percentage interest rate would be calculated thus:

= Amount paid as interest / Amount borrowed × 100

= 500/20000 × 100

= 2.5%

ignore the top part.
but can someone help me with part b please?

Answers

Answer:

i think its c

Step-by-step explanation:

PLS HELP WITH EIGHTH GRADE ALGEBRA

Answers

Answer:

i think its -13/10

Step-by-step explanation:

Answer:

-13/10

Step-by-step explanation:

help its pi, ill give brainiest to the first answer show work please :)

Answers

Answer:

16m

8m

50.24m

200.96m^2

Step-by-step explanation:

13. 8*2=16

14. 8m

15. 2pi r = 2* pi* 8= 50.24

16. pi r^2 = pi * 8^2= 200.96m^2

16 m
8 m
50.24 m
200.69 m ^2

Jack and Jill applied for the same credit card from the same bank. The bank checked both of their FICO scores. Jack had an excellent credit rating, and

Jill had a poor credit rating


Jack was approved for a card with an APR of 12%. What was his monthly periodic rate?


Jill was approved for a card with an APR of 21%. What was her monthly periodic rate?


If each of them had an average daily balance of $700 and had to pay a finance charge, how much MORE will Jill pay than Jack?

Answers

Answer:

a. Jack's monthly periodic rate = 1%

b. Jill's monthly periodic rate = 1.75%

c. Amount paid more by Jill than Jack = $5.25

Step-by-step explanation:

a. Jack was approved for a card with an APR of 12%. What was his monthly periodic rate?

Jack's monthly periodic rate = Jack's annual percentage rate (APR) / Number of months in a year = 12% / 12 = 1%

b. Jill was approved for a card with an APR of 21%. What was her monthly periodic rate?

Jill's monthly periodic rate = Jill's APR / Number of months in a year = 21% / 12 = 1.75%

c. If each of them had an average daily balance of $700 and had to pay a finance charge, how much MORE will Jill pay than Jack?

Jack's finance charge = Jack's monthly periodic rate * Average daily balance = 1% * $700 = $7

Jill's finance charge = Jill's monthly periodic rate * Average daily balance = 1.75% * $700 = $12.25

Amount paid more by Jill than Jack = Jill's finance charge - Jack's finance charge = $12.25 - $7 = $5.25

The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x represent
the larger number and y represent the smaller number. Which equations represent this situation?
y=-x
y-ix-5
O
o
y = x
3
y = 2x-5
y-x
2 10
y = 3X+ 3
y=-x
10
y = 3

Answers

Answer:

y = -x and 2y = 3x - 10 is the system of equations.

Step-by-step explanation:

Let,

Larger number = x

Smaller number = y

According to given statement;

x + y = 0

y = -x  

And

3x - 2y = 10

Or it can be written as;

2y = 3x - 10

Therefore,

y = -x and 2y = 3x - 10 is the system of equations.

Please help I have no clue

Answers

Answer:

20 miles in 2 hours

Step-by-step explanation:

2 is h, which is the time, and 20 is mi, which is the distance

Find the slope of the line that contains the following points: (6,-2) and
(-3,1)

Answers

Answer:

-1/3

Step-by-step explanation:

(6,-2) (-3,1) -2-1 = -3

6-(-3) = 9

-3/9 = -1/3

Which of the following is the factored
form of the trinomial below?

x2 + 8x + 15

Answers

Answer:
10x+15

I think

2 Rectangle ABCD has a length of 13 in. and a width of 8 in. Rectangle JKLM has a width of 28 in. The length of Rectangle JKLM is ?​

Answers

Answer:22

Step-by-step explanation:6627282

This is geometry so you know

Answers

Answer:

b

Step-by-step explanation:

Answer:

B. 8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

if angle A is 90 and B is 45 then C must be 45 (all three angles must add to 360)

this is an isosceles right triangle and the ratio of legs to hypotenuse is 1 : [tex]\sqrt{2}[/tex]

so if each leg is 8 then the hypotenuse is that value multiplied by [tex]\sqrt{2}[/tex]


A store employs 11 women and 12 men.
What percentage of the employees are men?
Give your answer to 1 decimal place.

Answers

Answer:

52.2%

Step-by-step explanation:

To find a percentage of something you divide the amount by the maximum number:

11 + 12 = 23

12 ÷ 23 = 0.5217 = 1%

Then times 0.5217 by 100 to get the percentage of male employees

Hope that helped!

What is the value of x in the equation 3(2x + 4) = −6? (4 points)

a
−3

b
1

c
12

d
19

Answers

Answer:

x = - 3

Step-by-step explanation:

Given

3(2x + 4) = - 6 ( divide both sides by 3 )

2x + 4 = - 2 ( subtract 4 from both sides )

2x = - 6 ( divide both sides by 2 )

x = - 3

What is the interquartile range of the following set

Please help

Answers

the interquartile range 21

A taco stand sells 300 tacos in four hours. At this rate, how many 1 tacos would sell in z an hour?​

Answers

Answer:

75

Step-by-step explanation:

300/4=75

He sold 75 tacos hope this helps

please help for 16 points
NO WRONG ANSWERS PLEASE ​

Answers

Answer:

x = 30, x = 5 and x = 9

Step-by-step explanation:

The diagonals of a square are perpendicular bisectors of each other, so

∠ AEB = 90° , then

3x = 90 ( divide both sides by 3 )

x = 30

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

(9)

The 4 angles of a square are right and the diagonals bisect the angles, then

∠ BAC = 45° , so

9x = 45 ( divide both sides by 9 )

x = 5

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

(10)

All sides are congruent , so

CD = AB , that is

3x - 5 = 2x + 4 ( subtract 2x from both sides )

x - 5 = 4 ( add 5 to both sides )

x = 9

What is the greatest common factor of 15 and 48?

Answers

Answer:

3

Step-by-step explanation:

48= 1, 2, 3, 4, 6, 8 ,12, 16, 24, 48.

15= 1, 3, 5, 15, 30, 45 and so on but only 3 can go into 48 and 15 and it is the greatest since there are no other common greater numbers between them.

Hakim is a kickboxing instructor who will be teaching classes at a local gym. To get certified as an instructor, he spent a total of $90. Hakim will be earning a base salary of $70 per month from the gym, plus an additional $5 for every class he teaches. If Hakim teaches a certain number of classes during his first month as an instructor, he will earn back the amount he spent on certification. How many classes will that take?

Answers

Answer:

4 classes

Step-by-step explanation:

So to solve this problem, you can make an equation. Since he makes $70 per month and $5 per class, and you're trying to figure out how many classes he has to take to get $90, you have the equation 70 + 5x = 90.

Then, you solve:

[tex]5x + 70 = 90[/tex]

subtract 70 from both sides

[tex]5x = 20[/tex]

divide both sides by 5

[tex]x = 4[/tex]

So you get that he has to take 4 classes.

HELP HELP HELP!! WILL GIVE BRAINLIEST!

Explain C.

Answers

Answer:B

Step-by-step explanation:

His college Jason can take a maximum of 21 hours each semester between elective classes and core classes each elective class cost $225 per semester hour and each core class costs $275 per semester hour. If he cannot spend more than $6,000 each semester on classes which system of any qualities below can be used is a Herman the number of elective classes e and the number of core classes c he can take each semester?

Answers

Answer:

D. e + c ≤ 21, 225e + 275c ≤ 6000

Step-by-step explanation:

Maximum of 21 hours each semester between elective classes and core classes, the required inequality is:

e + c ≤ 21

Each elective class cost $225 per semester hour and each core class costs $275, the sum is 225e + 275c.

He cannot spend more than $6,000, the required inequality is:

225e + 275c ≤ 6000

Correct option is D

how do i write this as an expression?

Answers

Answer:

4^3 - 25

Step-by-step explanation:

4^3 - 25 = 39

difference means subtract

Chose the equation that has solutions (5,7) and (8,13)

[tex]3x - y = 8[/tex]
[tex]y = x + 2[/tex]
[tex]y - x = 5[/tex]
[tex]y = 2x - 3[/tex]

Answers

The last one .........

Answer:

no

Step-by-step explanation:

yes because no

Nikisha and Kevin need to paint the outside of their barn. Each 1/ 2-gallon can paints 1/8 of the barn.How many 1-gallon cans are needed to paint the outside of Nikisha’s and Kevin’s barn? plz help me!!!!!!

Answers

Answer:

they need 4 gallons

Step-by-step explanation:

so 1/2 gallon paints 1/8 of the barn

1 gallon paints 2/8, 1 1/2 gallons paint 3/8 of the barn

2 gallons paints 4/8 half of the barn and so on until it gets to 8/8 or the full barn.

18,18,15,18,18,24,21,21,24,14 which one is mean

Answers

Answer:19.1

Step-by-step explanation: Put the numbers in order and then add the numbers and then divide it by how many number there is

14+15+18+18+18+18+21+21+24+24=191

191/10=19.1

help me do this question i need help

Answers

Answer:

P = 35 cm

Step-by-step explanation:

Rectangles

Being x and y the dimensions of a rectangle, the perimeter can be calculated as:

P = 2x + 2y

The smaller rectangles of the figure have a width of x cm. We don't know the value of the length, but we can see how the two smaller horizontal rectangles' widths complete the height of the vertical rectangle. Since all the rectangles are identical, then the height of each rectangle is

y = 2x

Substituting in the formula and knowing the perimeter is 21:

2x + 2(2x) = 21

6x = 21

x = 21/6 = 7/2 = 3.5

The large rectangle has a width of 2x and a length of y+x = 3x, thus the perimeter is:

P = 2(2x) + 2(3x) = 4x + 6x = 10x

Since x=3.5 cm:

P = 35 cm

If 4 quarts fill 16 cups then how many cups does 6 quarts fill

Answers

Answer:

24

Step-by-step explanation:

16/4=4

1q fills 4 cup

so 6x4=24

The number of cups filled with 6 quarts is 24 cups.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

4 quarts fill 16 cups.

This means,

4 quarts = 16 cups

1 quart = 4 cups

1 quart will fill 4 cups.

Now,

1 quart = 4  cups

Multiply 6 on both sides.

6 quarts = 6 x 4 cups
6 quarts = 24 cups

Thus,

24 cups will be filled with 6 quarts.

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ2

⚠️Please help ⚠️what is an ratio

Answers

Answer:

Ration is an ordered pair of numbers that show a comparison between two things.

Which sentence is written correctly? A. Him and they went swimming. B.Him and them went swimming. C.He and them went swimming. D.He and they went swimming.

Answers

Answer:

d is the answer your welcome!! :)

Step-by-step explanation:

Maggle's brother 13 years younger than twice her age. The sum of their ages 32.

How old is Maggie ?

Maggie is years old?

Answers

Answer:

Maggie is 15 and her brother is is 17

Step-by-step explanation:

15+17=32

15 x 2 = 30 - 13 = 17 + 15 = 32

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