WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOR THE LINE THAT PASSES THROUGH THE POINT (-2,6) AND A SLOPE OF -1/4

Answers

Answer 1

It's a line so its equation is in the form : y = mx + b where m is the slope/gradient and b the y-intercept.

Since the slope m here is -1/4, we can write :

y = (-1/4)x + b

And since that line passes through the point x=-2, y=6, we can find the y-intercept by solving this equation of unknown b :

b + (-1/4)*(-2) = 6

b = 6 - (-1/4)*(-2)

b = 6 - (2/4)

b = 6 - 1/2

b = (12-1)/2 = 11/2

Finally, the equation is y = (-1/4)x + 11/2


Related Questions

A model rocket is launched with an initial upward velocity of 125/fts. The rocket's height h (in feet) after t seconds is given by the following.

h=125t- -16t^2

Answers

Answer:

H = V0 t + 1/2 g t^2   is the equation in question with V0 and g in different directions, they have different signs

Operations
Five football players ate
15/17
of a lasagna. The 5 players ate equal
amounts. How much of the lasagna did each player eat?

Answers

Answer:

3

Step-by-step explanation: because 15 divided by 5 equals 3

Which equation has a solution of r = 1/3

Answers

Answer:

                 

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A.

2 2/3 + r = 3

r = 3 - 2 2/3

r = 1/3

B.

r - 1 = 2/3

r = 1 2/3

C.

3r = 1/3

r = 1/9

D.

4r = 12

r = 3

Answer: A.

1. A bag contains red apples and yellow apples. The ratio of red apples to yellow apples in the bag is 9 to 4. How many apples are yellow.

Answers

Answer:

?

Step-by-step explanation:

You can’t know that, because you don’t know how many total apples there are.

5 lb 6 oz = __________ oz
Explain yourself

Answers

Answer:

86 oz

Step-by-step explanation:

1 lb = 16 oz

5 lb * 16 oz = 80 oz

80 oz + 6 oz = 86 oz

Help please on part b

Answers

Answer:

-0.045

Step-by-step explanation:

you first take the derivate of A(t)

A'(t)=1.4e^-0.05t X (-0.05)

A'(t)=-0.07e^-0.05t

so when t=0

amount remaining is -0.07e^-0.05(0) ---- e^0 = 1

so its -0.07

when t=9

do the same thing,

-0.07e^-0.05(9) ---use calculator

-0.045

Which expressions have a value that is greater than 1?

Answers

Answer:

Im not sure about A but other then that B and D have greater values then one

Step-by-step explanation:

[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{A}\qquad \cfrac{3^{-2}}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{\cfrac{3^3}{1}}\implies \cfrac{1}{3^3\cdot 3^2}\implies \cfrac{1}{3^5}\implies \cfrac{1}{243}\qquad \textit{\large \checkmark}[/tex]

[tex]\boxed{B}\qquad \cfrac{5^3}{5^2}\implies 5^3\cdot 5^{-2}\implies 5^{3-2}\implies 5^1\implies 5\qquad \bigotimes \\\\\\ \boxed{C}\qquad 9^0\implies 1\qquad \bigotimes \\\\\\ \boxed{D}\qquad \cfrac{(2^3)^2}{2^2}\implies \cfrac{2^{3\cdot 2}}{2^2}\implies \cfrac{2^6}{2^2}\implies 2^6\cdot 2^{-2}\implies 2^4\implies 16\qquad \textit{\large \checkmark} \\\\\\ \boxed{E}\qquad \cfrac{2^3}{2^8}\implies 2^3\cdot 2^{-8}\implies 2^{3-8}\implies 2^{-5}\implies \cfrac{1}{2^5}\implies \cfrac{1}{32}\qquad \bigotimes[/tex]

In this picture B,D, and F are midpoints. AC=50, CE=60, and BD=35
DF=[?]

Answers

Answer:

25

Step-by-step explanation:

AC=50  ∴BC=25

DF is the opposite of BC ( take it as a square BCDF)

How to solve -2(x+2)^2=5 using the square root method.

Answers

Here it is I had to add a photo because I didn’t know how to rite it out but I hope this helps!

Hi! ❤️ , im looking for some (accurate) help here.

ill give brainliest if able to.

Answers

Answer:

A

Step-by-step explanation:

70000 is 100 times greater than 700  

How to divided 4 and 2/4

Answers

Answer:

8

Step-by-step explanation:

turn 2/4 into fraction by dividing 2 by 4  equals to 0.5 then divide 4 by 0.5 equals 8

Help please! Mathematics as a teen isn’t my strong suit
Also, number 15) has4 columns and 6 rows

Answers

Answer:

ang masasabi ko lang thans sa points

Step-by-step explanation:

salamat sa pointsmore points to come50 points ulit ha

Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1.15. How much will the fabric cost?

[1 ft = 0.305m]

$9.20
$2.12
$2.81
$30.16

Answers

Answer:

$2.81

Step-by-step explanation:

8 feet = 2.44 meters

2.44 · $1.15 = $2.81

I hope that this helps!!!

Answer:

c. 2.81

Step-by-step explanation:

what is the value of 2​

Answers

Step-by-step explanation:

???

one more than 1, one less than 3

Answer:

the value of 2 is 1+1=2

Step-by-step explanation:

gamsahamnida have a great day ahead

Are the triangles congruent! (Help)

Answers

No
For the two triangles to be congruent their corresponding angles should be equal.
Here they have different angles i.e. their corresponding angels are not equal
therefore they are not congruent

the independent and dependent variables.
1) You are taking a road trip in a car and want to know how far you've traveled (read the odometer) at various times
during your trip.
A) does not describe a function
B) Independent variable, distance traveled; dependent variable, time
C) Independent variable, time; dependent variable, distance traveled
actont Writon statement that describes how one

Answers

Answer:

C) Independent variable, time; dependent variable, distance traveled

Explanation:

An independent variable (also known as the manipulated variable) is the thing you change on purpose. A dependent variable (also known as responding variable) is what you measure on different kinds of trials. You are measuring how far you've gone. You will measure this at various times (you change this).

Correct answer  is C :  Independent variable, time; dependent variable, distance traveled actont Writon statement that describes how one.

What is Independent variable?

The independent variable exists as the variable being regulated in the problem, and the dependent variable exists as the variable that varies because of this control.

It exists a variable that stands alone and isn't altered by the other variables you exist trying to measure.

An independent variable (also known as the manipulated variable) is the thing you change on purpose. A dependent variable (also known as responding variable) is what you measure on different kinds of trials. You are measuring how far you've gone. You will measure this at various times (you change this)

To learn more about Independent variable refer to:

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Identify the given quadrilateral
Can anyone tell me if these are correct?

Answers

28 might be a parallelogram

Twelve pounds of the element plutonium is released in a nuclear accident. The amount of plutonium P that is present after t months is given by P(t)=12e^-0.1507t. What amount of plutonium remains after 36 months? Round to two decimal places.

Answers

The amount of Plutonium that remains after 36 months is 0.05

The equation for the amount of Plutonium after t months is

[tex]\mathbf{P(t) = 12e^{-0.1507t}}[/tex]

After 36 months; we have: t = 36.

Substitute 36 for t in P(t).

So, we have:

[tex]\mathbf{P(36) = 12e^{-0.1507 \times 36}}[/tex]

Simplify the exponent

[tex]\mathbf{P(36) = 12e^{-5.4252}}[/tex]

Evaluate the exponent

[tex]\mathbf{P(36) = 12 \times 0.004404}[/tex]

Multiply

[tex]\mathbf{P(36) = 0.052848}[/tex]

Approximate to 2 decimal places

[tex]\mathbf{P(36) = 0.05}[/tex]

Hence, the amount that remains is 0.05

Read more about exponential functions at:

https://brainly.com/question/11487261

O A woman's store sells the following categories of clothing for the following prices. blouses : Ghc14 each, skirt : Ghc 16 each, dress: Ghc 25 each, pantyhose:2 pairs for Ghc 3, socks: Ghc7. A lady goes to the store in a day when the store has a 20% off sale on all skirts. if ya buys 2 skirks, 1 dress and 4 pairs of pantyhose, how much money does lady have to pay?

Answers

Answer:

$4

Step-by-step explanation:

i know this because i passed collage last year

12 x 12 x 12 = 4 x # x 4 what number must replace the '#' symbol​

Answers

Answer:

I'm pretty sure it's 108.

Step-by-step explanation:

12 x 12 x 12 = 1,728

4 x 4 = 16

1,728 ÷ 16 = 108

The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4. Which classes have an equivalent ratio of boys to girls? Check all that apply. A math class with 12 boys and 16 girls.
An English class with 14 boys and 14 girls.
A science class with 15 boys and 20 girls.
A Spanish class with 20 boys and 15 girls.
A band class with 75 boys and 100 girls.

Answers

Answer:

Step-by-step explanation:

A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.

What is Ratio?

Ratio is a concept in mathematics used to compare two things.

It is denoted by a : b.

A ratio can be represented as fractions also like a/b.

In the question, it is given that the ratio of boys to girls is 3 to 4.

A math class with 12 boys and 16 girls = 12/16 = 3/4An English class with 14 boys and 14 girls = 14/14 = 1A science class with 15 boys and 20 girls = 15/20 = 3/4A Spanish class with 20 boys and 15 girls = 20/15 = 4/3A band class with 75 boys and 100 girls = 75/100 = 3/4  

Hence A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.

To learn more about Ratio, click:

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The following triangles are similar triangles with some dimensions specified. Find the measures of the other sides.

Answers

Answer:

116°

Step-by-step explanation:

(Angle sum property of a triangle = 180°)

angle A + angle C + angle ABC = 180°

66° + 50° + angle BAC = 180°

116° + angle ABC = 180°

angle ABC = 180° - 116°

angle ABC = 64°

angle ABD + angle ABC = 180°

angle ABD + 64° = 180°

angle ABD = 180° - 64°

angle ABD = 116°

So, the measure of the unknown angle is 116°

Donnel purchased two pairs of jeans. There was a 20% discount on one pair of jeans with an original price of $45.50. There was a 40% discount on the other pair of jeans with an original price of $32.20. How much did he save altogether?

Answers

Answer:

$21.98

Step-by-step explanation:

45.50 * .20 = 9.1

32.20 * .40 = 12.88

12.88 + 9.1 = 21.98

Combining like terms. Solve for b.

15b + 10b = 50​

Answers

Answer:

b=2

Step-by-step explanation:

15b+10b=50

25b=50

b=2

Answer:

B is 2 because 10x2=20 and 15x2=30

add those 2 up and get 50

Step-by-step explanation:

Give brainly pls(the crown)

Two points are shown on the number line. Which value is best represented by the point F? 

Answers

Answer:

I believe its d

Two cities are 5 3/4 inches apart on a map. The map scale says that 1/2 inch= 10 miles. How many miles
apart are two cities?

Answers

Answer:

900 Miles

Step-by-step explanation:

Since 1 inch = 200 miles, then ....

    4.5 inches * (200 miles / 1 inch) = (4.5 inches * 200 miles) / (1 inch) = 900 miles

OR

    1 / 200 : 4.5 / m     ==>     1 * 4.5 / 200 * 4.5 = 4.5 / 900    ==>    m = 900

Thus, the actual distance between the two cities is 900 miles.

rebecca has 12 photos she wants to hang side by side on her wall.

A. if she only wants to display 8 of the photos, in how many ways can she choose 8 photos she wishes to eventually display?


B. in how many ways can she arrange all 12 photos?


C. if rebecca wants to have the 10 out of 12 photos in specific places, how many ways could she order the 12 photos?​

Answers

We want to find different ways of selecting and ordering elements. The answers are:

A) C = 395

B) combinations = 479,001,600

C) combinations = 239,500,800

First, we know that Rebecca has 12 photos.

A) She wants to choose 8 of these 12 photos, we want to see in how many ways she can choose these 8 photos.

Remember that for a set of N elements, the number of different combinations of K elements (such that K is smaller than N) is given by:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

Here we have N = 12 and K = 8, then:

[tex]C(12, 8) = \frac{12!}{(12 - 8)!*8!} = \frac{12!}{4!*8!} = \frac{12*11*10*9}{4*3*2*1} = 495[/tex]

So there are 495 different ways of choosing 8 photos out of the 12.

B) Now we want to see in how many ways she can arrange all 12 photos.

The first photo can be any one of the 12, so there we have 12 options.The second photo can be any one of the remaining 11 (so we have 11 options).The third photo can be any one of the remaining 10, and so on.

The total number of combinations is just the product between the numbers of options, we got:

[tex]combinations = 12*11*10*9*8*7*6*5*4*3*2*1 = 479,001,600[/tex]

C) Now we must combine the two things we did before, first, we select 10 out of the 12 photos, and then we want to find in how many ways we can arrange these 10 photos.

[tex]C(12, 10) = \frac{12!}{(12 - 10)°*10°} = \frac{12*11}{2} = 66[/tex]

And we multiply this by the total number of arrangements of these 10 photos, that is just given by 10!, so we get:

[tex]c = 66*10! = 66*(10*9*8*7*6*5*4*3*2*1) = 239,500,800[/tex]

If you want to learn more, you can read:

https://brainly.com/question/14305145

Solve the inequality.
2(x+4) < 2 - x

Answers

Answer:

x < -2

Step-by-step explanation:

2(x+4)<2-x

2x+8<2-x

+x        +x

3x+8<2

   -8  -8

3x<-6

x<-2    Divide both sides by 3

Hope this helps!

Answer:

2x+8<2-x

8-2<-x-2x

-3x>6

x>6/3

x<2

Step-by-step explanation:

I think it's smtg like this

Each square below represents one whole …. What percent is represented by the shaded area?

Answers

Answer:

3/4

Step-by-step explanation:

because there are 4 parts and only three are shaded so 3/4

3/4 or .75 or 75%

Willie stands on one side of a cart and pushes with a force of 100 Newtons. Jenny stands on the others side of a filing cabinet and pushes with a force of 100 Newtons. If Willie wants to help Jenny demonstrate balanced forces, what does Willie need to do?

Answers

Willie needs to keep same force acting by him on the cart inorder to balance the force.

Let's check how?

F_1=100NF_2=-100N

[tex]\\ \sf\longmapsto F_{net}=100-100=0N[/tex]

.Hence verified

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