Write the equation for the line whose slope is -1/4 and goes through the point (-2,6)​

Answers

Answer 1

Answer:

[tex]y = -\frac{1}{4} + \frac{11}{2}[/tex]

Step-by-step explanation:

use y = mx + b where:

y = y-coordinate = 6

m = slope = -1/4

x = x-coordinate = -2

b = y-intercept = what we're solving for to complete the equation

plug the values into the equation

[tex]6 = -\frac{1}{4}(-2) + b[/tex]               multiply [tex]-\frac{1}{4}[/tex] and 2

[tex]6 = \frac{1}{2} + b[/tex]                         subtract [tex]\frac{1}{2}[/tex] from both sides

[tex]b = \frac{11}{2}[/tex]

now we plug m and b into the equation and leave x and y as variables to get the final equation:

[tex]y = -\frac{1}{4} + \frac{11}{2}[/tex]


Related Questions

Angles Relations

PLEASE HELP!!

A. complementary

B. Alternate exterior

C. alternate interior

D. corresponding

Answers

Answer:

here you can see that this angles formed is alternate interior angles because you can see SZ shape the angle formation in here angle relation is 100% sure it is alternate interior angles don't confuse with alternate exterior it is alternate interior angles

Answer:

option B

[tex]aleternate \: exterior[/tex]

Step-by-step explanation:

[tex]hope \: it \: helps \: you[/tex]

Lauren is given a 12% pay rise. Her new salary is £24,080
What was Laurenʼs salary before the pay rise?

Answers

Answer:

21,500

Step-by-step explanation:

To estimate the sum of two mixed numbers, Grace rounds one number to 7 and the other number to 4.
Which could be the number she rounds to 7?

Answers

Answer:

Step-by-step explanation:https://brainly.com/question/21290288

Answer:

6 9/14

Step-by-step explanation:

Well, we know that 9/14 is bigger than 1/2, so that means that 6 9/14 will be rounded to 7. If it is over 1/2, you round up, if 1/2 less, than it stays the same.

There are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marble
is selected, it is not replaced. Find the probability.
(Red and then blue)
9. What is the numerator for the probability?
10. What is the denominator for the probability?

Answers

Step-by-step explanation:

step 1. we will call the probability P.

step 2. P = (3/6)(1/5) = 3/30 = 1/10.

Philip ran out of time while taking a multiple-choice test and plans to guess on the last 444 questions. Each question has 555 possible choices, one of which is correct. Let X=X=X, equals the number of answers Philip correctly guesses in the last 444 questions. Assume that the results of his guesses are independent.

Answers

The probability that Philip answers exactly one question correctly in the last 4 questions is 0.4096.

How to calculate the probability?

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur

It should be noted that this relates to a binomial probability. This is Illustrated as:

n! / x! (n - x)!

n = number if questions = 4

The probability will be:

P(x = 1) = (0.2)¹ × 0.8³.

= 0.4096

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Translate this into a inequality, "The sum of twice a number and 15 is greater than 3.​

Answers

Answer:

Step-by-step explanation:

2n+15>3

Answer:

2x + 15 > 3

IS THIS RHIGT?

eXPLANATION :

Twice a num = 2(x)

sum of it and 15 = 2x + 15

is greater than 3 = >3

so : 2x + 15 > 3  

What is the area of this quadrilateral?
8 ft
6 ft
3.ft
A. 33 square feet
B. 42 square feet
C. 17 square feet
D. 66 square feet

Answers

Answer:

a. 33 sqft

Step-by-step explanation:

The figure is made of two non-overlapping triangles, so the total area is the sum of the areas of the two triangles

Area of a triangle is 1/2(bh) where b = base length and h = height (b and h must be perpendicular to each other)

The top triangle has b = 6 and h=8, so A=1/2(6)(8) = 1/2(48) = 24

The bottom triangle has b=6 and h=3, so A=1/2(6)(3)=1/2(18) = 9

Total area is sum of these two or 24 + 9 = 33

Questions one and two I'll give brainliest if right.

Answers

Hi! i can't see the questions!!

Pls help me this is do in 10 minutes

Answers

Each ticket costs $7 and on Friday every ticket is discounted by $2 so the cost of every ticket would be $5 on Friday and 5x9=45 so the cost for 9 tickets on Friday is worth $45

PLZ HELP I GIVE 15 POINTS

Answers

Answer:

4 1/12. (Four, one by twelve).

Step-by-step explanation:

7/12 × 7 =?

7/12×7 = 49/12.

The answer is now in improper fraction. When we convert it to mixed fraction we get the answer as 4 1/12. (Four, one by twelve).

y is directly proportional to x.
when y=30, x=6
work out an equation connecting y and x

Answers

Answer:

y = 5x

Step-by-step explanation:

Use the direct variation equation y = kx

Plug in 30 as y and 6 as x, then solve for k

y = kx

30 = k(6)

5 = k

Plug in 5 as k into y = kx

y = 5x

So, the equation relating x and y is y = 5x

Answer:

y=5x

Step-by-step explanation:

30 divide by 6 = 5 so y = 5x

find the value of x in the diagram below

Answers

Answer:

x=26

Step-by-step explanation:

4x-8+34+76-x=180

4x-x-8+34+76=180

3x+102=180

3x=180-102

3x=78

x=78/3

x=26

x=26
because a straight line is 180 degrees
so you will
1) equal 4x-8, 34, and 76-x to 180
2) combine like factors
3) subtract 102 from 180
4) divide by 3x

Morgan is 15 years younger than Mrs. Santos.
Their combined age is 44.

Answers

Answer:

Mrs.Santos is 29.5 and Morgan is 14.5

Step-by-step explanation:

x - 15 + x = 44 where x is Mrs.Santos age

2x - 15 = 44

2x = 59

x = 59/2 = 29.5

Which inequality is NOT true if y = -5?
A. 2y - 10 > 13
B. -14 + 6y < 8
C. 3y + 9 > -15
D. -24 - 4y < -3

Answers

Answer:

A

Step-by-step explanation:

2(-5) - 10 > 13

-10 - 10 > 13

-20 is not greater than 13.

Answer:

A

Step-by-step explanation:

The ratio of the number of fiction books to the number of non-fiction books in a library is 8:5. There are 678 more fiction books than non-fiction books. How many non-fiction books are there in the library?​

Answers

Answer:

1130 non fiction

Step-by-step explanation:

F=fiction

NF=non fiction

F-678=NF

5F=8NF

so NF=5/8F

substitute:

F-678=5/8F

reduce:

3/8F=678

F=1808

NF=1130

There are 1130 non fiction books in the library.

Given that,

Ratio of fiction books (F) to non fiction books (NF) is 8:5.678 more fiction books in library.We need to find the number of non fiction books.

According to the scenario, calculation of data are as follows,

[tex]\frac{F}{NF} = \frac{8}{5}[/tex]

or 5F = 8NF

Now, NF = F-678

By putting the value, we get

5F = 8 ( F - 678)

5F = 8F - 5424

3F = 5424

F = 1808

So, By putting in 1st eq. we get,

5 [tex]\times[/tex] 1808 = 8NF

NF = 9040 [tex]\div[/tex] 8

NF = 1130

Non fiction books = 1130 books.

Learn more about ratio : https://brainly.com/question/606119

Why was it important for Athens to have a good navy?

Athens was located on an island.
Sparta was likely to attack by sea.
They needed a way to quickly flee the city.
Transportation in the area was mostly by sea.

Answers

Answer:

this would be answer d

owu when minecraft talks to me its like mr blue horse please tell me why you you lead all the creepers to my Mario world 1. he go brrr on a stick is a dog that wants to be a bottle at night with the sun up and the bird went for a walk in his cage while sleeping so i opened a book and it played a video

Step-by-step explanation:

Answer:

the other person is correct

Step-by-step explanation:

D

HELPPP PLSSS , geometry

Answers

Answer:

64

Step-by-step explanation:

Angle 1 and Angle 8 are alternate exterior angles since line x and line y are parallell and a transversal Z passes through it. Since they are alternate exterior angles they are congruent so 8 is 64

y= - 1 / 4 x + 8
its for math 8 thanks yall :)

Answers

Answer:

[tex]x =-4y+32[/tex]

Step-by-step explanation:

Calculations:

[tex]y=-\frac{1}{4} x+8[/tex]

[tex]y-8=-\frac{1}{4}x[/tex]

[tex]x =-4y+32[/tex]

170% of what number is 35? Provide an exact fraction answer.​

Answers

Answer: 25.88

Step-by-step explanation:

As a fraction it is 22/25 pls mark brainliest

find (fg) (x)
f(x)= 4x2 +x4
g(x)= root x2+4

Answers

[tex](fg)(x) = f(x)\cdot g(x) \\~\\(fg)(x) = \left(4x^2 +x^4\right)\cdot\sqrt{x^2+4} \\~\\(fg)(x) = \left(4x^2 +x^4\right)\cdot\left(x^2+4\right)^{\frac{1}{2}}[/tex]

a)

simplify the expression for the area

Answers

Answer:

10x+276

Step-by-step explanation:

Use the equation (12)(5/6x+23)=area

Use the distributive property as seen in the image below.

This will get (12(5/6x)) + (12(23))

Solve

60/6x+276

Now simplify

10x+276

Mason used a 30% coupon to buy a new computer. After the discount, the cost of the computer was 728. Determine the original price of the computer. Calculate how much money mason saved by using the coupon.

Answers

Answer:

Mason saved $312.00.

Step-by-step explanation:

This is because, if you multiply the original price by 30%/100 or $1040 x 0.3 you get $312.00. So basically, multiply the original price by the discount number over 100 you get your answer.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

The original price of the computer is 1040.

The amount saved by Mason using the coupon is 312.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Coupon = 30% off

Cost of the computer after the coupon = 728

This means that the cost of the computer is only 70% since 30% is off.

70% = 728

We know that the original price is 100%.

So,

70% = 728

Multiply 100/70 on both sides.

100/70 x 70% = 100/70 x 728

100% = 1040

The original price of the computer is 1040

The amount saved is:

= 1040 - 728

= 312

Thus,

The original price of the computer is 1040.

The amount saved by Mason using the coupon is 312.

Learn more about percentages here:

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Bath and $38,000 in student loans the interest rate on her salons is 8.25% per year she will be painless loans off for 20 years how much will Best pay altogether

Answers

Answer:

$100,700

Step-by-step explanation:

Given data

Principal= $38,000

rate= 8.25%

Time= 20 years

Applying the simple interest

A=P(1+rt)

substitute

A=38000(1+0.0825*20)

A=38000(1+1.65)

A=38000*(2.65)

A=$100,700

Hence in 20 years she will pay $100,700

Find the sale price.
Original price: $50

Discount: 15%

Sale price: $

Answers

Answer:

$42.50

Step-by-step explanation:

Take 50 multiplied by .15 and that gives you 15% of 50. Then just subtract the answer from 50.

Answer: $42.50

Step-by-step explanation: (50 x 15)/100 = $7.50 than 50 - 7.50 = $42.50

Solve for m
-3/7m=12

m=-28
m=-26
m=26
m=28

Answers

Answer:
m=28. So the last one.

Explanation:
-3/7m=12
-3/7m *7= 12*7
-3m=84
-3m/-3=84/-3
m=28

the area of a rectangle pool is 6688 m2 if the width of the pool is 76 m what is the length

Answers

Answer:

88

Step-by-step explanation:

Mandis planned to spend RI 000 for shoes this week.
On Monday she spent R228.95 ond on Thursdays she spent
38 on shoes
how much money does she have left for the week?
P700​

Answers

Answer:

733.05

Step-by-step explanation:

guys help please bro

Answers

Answer:

132 square meters

Step-by-step explanation:

You can split the shape into two figures. They both will be parellelograms.

Area of parallelogram: A=bh

11 *6=66

66 *2= 132

Answer: 132 square meters

PLEASE HELP URGENT!! giving 20pts and brainliest!!

Answers

Rule: opposite sides are equal/ angles are equal.

x-4y=-4
5x – 4y= 12

Answers

Answer: {x,y} = {4,2}

  [1]    x - 4y = -4

  [2]    5x - 4y = 12// Solve equation [1] for the variable  x

 [1]    x = 4y - 4

// Plug this in for variable  x  in equation [2]

  [2]    5•(4y-4) - 4y = 12

  [2]    16y = 32

// Solve equation [2] for the variable  y

  [2]    16y = 32

  [2]    y = 2

// By now we know this much :

   x = 4y-4

   y = 2

// Use the  y  value to solve for  x

   x = 4(2)-4 = 4

Step-by-step explanation:

Answer: x=4 y=2

Step-by-step explanation:

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