Write the equation of the line that passes through the points (-1, -2) and (5, -4).

Answers

Answer 1

Answer:

y = -1/3x - 7/3

Step-by-step explanation:

To find the slope, you have to plug the values into the slope formula.

y2 - y1/ x2 - x1

-4 - (-2) / 5 - (-1)

-1/3

Now to find the y-intercept, plug in one of the coordinates into the equation.

y = -1/3x + b

-2 = -1/3(-1) +b

-2 = 1/3 + b

-7/3 = b

The equation is y = -1/3x - 7/3.  

Answer 2

The Solution is Y = - ( 1 / 3 )X - 7 / 3 where points are ( 5 , - 4) and ( - 1 , - 2) that passes through a straight line. Y = MX + C is the Formula for Straight line equation.

As per given problem, M is Slope

M = (Y2 - Y1) / (X2 - X1)

M = (- 4 - (- 2)) / ( 5 - (- 1))

M = - (1 / 3)

Now, Line becomes

- 2 = - ( 1 / 3) x (- 1)+ C

- 2 = 1 / 3 + C

C = - (7 / 3)

So, Solution:  Y = - (1 / 3)X - (7 / 3)

To know more about Straight Line Problems, refer to the below link

brainly.com/question/1617520


Related Questions

what is the height of the tree

A. 156 ft
B. 100 ft
C. 80 ft
D. 25 ft​

Answers

Answer:

B

Step-by-step explanation:

You first must find the conversion rate. Since you know a 4 ft tall object produces a 5 foot long shadow, you simply divide 4 by 5. This gives you 0.8. Now that you have your conversion rate, you multiply it by the shadow the tree casts, that being 125, and your answer is B, 100.

Save
Submit
Kayla gave of a pan of brownies to Ella and of the pan to Eli. Which choice is the MOST reasonable for the part of the
pan of brownies Kayla gave away?
6
A
B)
D
E
The
N.

Answers

Answer:

its definetly 1/2 but i cant see the numbers but i had this question like 2 minutes ago

Step-by-step explanation:

nice to help a high schooler, make you think how hard high school will be

helpppp assaaaaaaap
determine the equation of line (AB)
A(I;1) and B(0;5)​

Answers

y = -4x +5 should be right!

It cost Erica $9.75 for the ingredients to make 30 cupcakes. She sold them for $1.00 each. What was Erica’s total profit?

STEP BY STEP PLZZ PLEASE PLZZZZZ

Answers

Answer:

$30 (I think)

Step-by-step explanation:

because you have 30 cupcakes and selling 1 for a dollar but it may be $20.25 if you have to subtract the $9.75 that you used to buy the cupcakes

I put a picture of the question but I am confused on how to find the value of x.If you could provide a explanation that would be amazing! :D

Answers

Answer:

Hope this helps :)

Step-by-step explanation:

Supplementary angles are angles whose measures sum to 180°.

equation for supplementary angle~ a+b=180

Example:

2x+(2x–2)=180

4x–2=180

4x=182

x=45.5

Answer:

x = 100.5

Step-by-step explanation:

Supplementary angles are two angles that have a sum of 180°. THIS MEANS WE'RE ADDING.

We can use distributive property to solve this equation.

x + (x-21) = 180°.

x + x - 21 = 180°.

Now, we can combine like terms.

2x - 21 = 180.

Since there is a subtraction sign in front of the number 21, we do the opposite operation (addition).

Next, we add 21 to 180.

180 + 21 = 201.

2x = 201

Lastly, we divide 201 by 2.

The quotient is 100.5.

100.5 is the final answer.

Therefore, 100.5 is the value of x.

We can check our answer to make sure.

(100.5 - 21) + 100.5 =

79.5 + 100.5 = 180°.

f(x)=-2(x-4)^2+8 find the vertex

Answers

Set the polynomial equal to

y

to find the properties of the parabola.

y = -3(x+4)^2 - 8

Use the vertex form, y = a (x-h)^2 + k, to determine values of a,h and k

a = -2

h = -4

k = -8

Find the vertex (h,k)

(-4, -8)

As per the vertex form of a quadratic equation, the vertex of the given quadratic equation is (4, 8).

What is a quadratic equation?

"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."

What is the vertex form of a quadratic equation?

"The vertex form of a quadratic equation is:

y = a(x - h)² + k

Here, a, h, and k are real numbers, where a ≠ 0. x and y are variables.

Here, (h, k) is the vertex and (x, y) represents a point on the graph of the given equation."

Here, the given quadratic equation is:

y = f(x) = -2(x - 4)² + 8

By comparing it with the vertex form of a quadratic equation, we get:

h = 4, y = 8.

Therefore, the vertex(h, k) of the given quadratic equation is (4, 8).

Learn more about the vertex form of a quadratic equation here: https://brainly.com/question/27255597

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The volume of the oblique cylinder is 24 ft?,
Which statements are true? Check all that apply,
The height of the cylinder is 3.4 ft.
The diameter of the cylinder is about 4.5 ft.
3.4 ft
The diameter of the cylinder is about 3 ft.
The radius of the cylinder is about 6 ft.
A right cylinder with the same height and radius as
this oblique cylinder would also have a volume of
24 fri

Answers

Answer:

A, C, E

Step-by-step explanation:

Right on Edge

Factorise 5a^2-6a


^^^^^^^^

Answers

Answer:

a(5a - 6)

Step-by-step explanation:

5a² - 6a

Common factor: a

Factored:

a(5a - 6)

A soccer dome shaped like a hemisphere has a volume of 450,000 m^3. What is the area of its field? Use 3.14 for pi

Answers

Answer:

Step-by-step explanation:

450,000=2/3(3.14)r

450,000 times 3/2=2/3(3.14)r times 3/2

675,000=3.14r

675,000/3.14=3.14r/3.14

about 214968.15287=r

So now we know r. We can use it to find the area of the circle

Pi times r squared

3.14 times 214968.15287 squared

area equals about 15573.44815

The area of the hemisphere is 45065.41

How to determine the area?

The given parameters are:

Shape = Hemisphere

Volume = 450000

The volume is calculated as:

Volume = 2/3pi r^3

This gives

450,000=2/3 * 3.14 * r^3

Solve for r^3

r^3 = 450000 * 3/(2 * 3.14)

This gives

r^3 = 214968.152

Take the cube roots

r = 59.9

The area is then calculated as;

Area = 4pi r^2

This gives

Area = 4 * 3.14 * 59.9^2

Evaluate

Area = 45065.41

Hence, the area of the hemisphere is 45065.41

Read more about areas at:

https://brainly.com/question/24487155

convert
1. 15 Ib = ______ oz
2. 3 T = _______ Ib
3. 320 oz = _______ Ib
4. 23 Ib =_______ oz
5. 6 T = ______ Ib
6. 144 oz = ________ Ib
7. 15 T = ________ Ib
8. 352 oz = _____ Ib
9. 18 Ib =_______ oz

pls pls you will save me

Answers

Answer:

1. 240 oz

2. 6000lb

3. 20 lb

4. 368 oz

5. 12000 lb

6. 9 lb

7. 30000 lb

8. 22

9. 288

Step-by-step explanation:

Answer:

1. 240

2. 6613.87

3. 20

4. 368

5. 13227.7

6. 9

7. 33069.3

8. 22

9. 288

Step-by-step explanation:

You deposit $100 in an account that pays an annual rate of 4%. How much is in the account after 12 years?

Answers

Answer:

the answer $1,236

Step-by-step explanation:

An ant stands atop a grassy hill looking at a castle. A horizontal bridge 20 feet long crosses the gap, forming a right angle with the castle wall. The hill slopes down to a moat (water) that is 10 feet wide. The moat has 0 alligators because this is a math problem, not Louisiana. The castle is 38 feet tall, measuring from moat to roof.

a) Draw a sketch showing all the information you have right now.

b) The angle of elevation from the ant to the castle roof is 54.5°. Find the height of the castle above the bridge to the nearest foot (whole number).

c) What is the distance of the vertical drop from the bridge into the moat?

d) Find the angle between the hillside and the underside of the bridge. You may assume that the hill's slope is perfectly straight.

Answers

Answer:

Step-by-step explanation:

IF YOU HELP ILL GIVE YOU BRAINLY PLEASE!!

Answers

Answer:

part a:

x lengths = 6

unit lengths = 2

part b:

6x+2

Step-by-step explanation:

You add the like terms, in this case, there are 6 x, so we have 6x, and two 1s, so 1+1= 2, and since 6x and 2 are not like terms, we can't add them, making our answer 6x+2

Answer:

Im past this subject, so this is what I remember. There are six x lengths, and I believe there are 2 NOT 8 unit lengths. For B the answer is 6x+2. Dont worry about the Brainly.

Step-by-step explanation:

The length of a rectangle is 12 feet more than twice the width. The area of the rectangle is 320 square feet

Answers

32m I think hope this helps

question is below!!!!​

Answers

Answer:

Order the numbers from least to greatest.

75, 83, 89, 94, 98, 101, 105, 108, 111, 122, 125, 130

Minimum is 75

Q1 is 91.5

The median is 103.

Q3 is 116.5

Maximum is 130

Now, look at the answer choices.

B has the incorrect median

D has incorrect Q1.

A has incorrect Q3.

C is the answer.

25/2 of 40kg please help​

Answers

[tex] \bf \huge 500 \: k.g[/tex]

Step-by-step explanation:

Given that:

25/2 of 40 k.g

To find:

simplify

Explanation:

⟼ 25/2 of 40 k.g

⟼ [tex]\cancel{25/2}[/tex] × 40 k.g

⟼ 12•5 × 40 k.g

⟼ 500 k.g

∴ 25/2 × 40 k.g = 500 k.g

Hence simplified ☑️

Answer:

500kg

Step-by-step explanation:

as we know "OF" in mathematics means to multiply, so you have two ways

FIRST WAY:

Simplify 25/2 x 40so it will be 25 x 20 and answer will be = 500

SECOND WAY:

25/2 x 40  = 1000/2 simplify= 500

i hope its clear

HELP!! ILL MARK BRAINLIEST

Answers

Answer:

a

Step-by-step explanation:

youre welcome

school x and school y play eachother in a competition school x has eight more points than school y school x has three times as many points as school y. how many points does each school have?

Answers

Answer:

3y+8=x

Step-by-step explanation:

School X School Y

y+8=x

3y=x

3y+8=x

find the inverse f(x) = 3х^2 - 1

Answers

Answer:

What do you mean?

Step-by-step explanation:

Ms. Brodie drew these box-and-whisker plots to represent her students' scores on the mid-year test and the final exam.

What do the plots tell you about the test scores of Ms. Brodie's class?

Answers

Answer:

The scores of the final exam are, in general, lower than the scores in the mid-term exam.

Step-by-step explanation:

First a little description of these graphs.

The first interval (only a line) represents the bottom 25% of the sample.

The second interval (the left part of the rectangle) represents the lower quartile, which is another 25% of the sample.

The third interval, the right part of the rectangle, represents the upper quartile, which is another 25% of the sample.

And the final segment represents the top 25%.

Looking at the first graph, we can see that the worst scores (for the bottom 25%) are between 44 and 63.

While in the second graph, the wors scores are between 44 and 59, this means that we have more people with bad scores in the final exam.

Now if we look at the lower quartile in the first graph, we can see that the range of scores is between 63 and 74.

While in the second graph the range is between 59 and 71.

Again, we can see that in the final exam the scores dropped a bit in this quartile.

In the upper quartile, we have a similar case.

In the first graph, the scores go between 74 and 81, while in the second graph the scores go between 71 and 79.

And in the final segment, we also can see a drop in the scores, because in the first graph the range is from 81 to 93

while in the second graph the range is from 79 and 92.

So in all the "segments", we can see that the scores dropped. And this is the only conclusion we can make from the graphs, the scores of the final exam are, in general, lower than the scores in the mid-term exam.

5 A male polar bear is 279 meters long. A female polar bear is 156 meters long. Sidney thinks the male polar bear is 123 meters longer than the female polar bear. She is incorrect.

Answers

Answer:

she is correct

Step-by-step explanation:

To determine the difference in height, subtract the height of the male polar bear from that of the female polar bear

279 - 156 = 123 m

Will give brainliest
Answer choices:
Yes
No

Answers

Answer:

No

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

How many faces, vertices, and edges are in the figure below?

Answers

Answer:

faces = 7, vertices = 7, edges = 12

Step-by-step explanation:

i took the test just now :D (brainlest always acceptable! :D)

The number of faces, vertices, and edges are 8, 18 and 12.

We are given that;

The figure of hexagonal prism

Now,

A hexagonal prism is a 3D shape with

8 faces, 18 edges, and 12 vertices12.

The faces are 2 hexagons and 6 rectangles.

The figure below shows the faces, edges and vertices of a hexagonal prism.

Therefore, by the prism answer will be 8 faces, 18 edges, and 12 vertices12.

Learn more about rectangular prism;

https://brainly.com/question/15843335

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Question 2 (1 point)

The function f(x) = 0.5x + 3 is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of

people being served, X. The mathematical domain for the function is the set of real numbers.

Which statement describes the limitation for the reasonable domain compared to the mathematical domain?

Answers

Options:

The reasonable domain contains only positive real numbers.

The reasonable domain contains only positive whole numbers.

The reasonable domain contains only real numbers greater than 3.

The reasonable domain contains only rational numbers greater than 3.

Answer:

(b) The reasonable domain contains only positive whole numbers.

Step-by-step explanation:

Given

[tex]f(x) = 0.5x + 3[/tex]

Required

True statement about the limitation of the domain

Since the domain (x) represents people, then it must be a positive whole numbers

This eliminates options (a) and (c)

The range of the function is not given. So, we can assume that any number of people can be present.

This eliminates option (d).

Hence: (b) answers the question

i’ll mark branliest plzzz answer

Answers

Answer:

AB = 10 m

Step-by-step explanation:

Given that <ACB = <ECD, then triangles ABC and EDC are similar.

Let the height of the solar panel (AB) be represented by x. Thus by comparing the triangles, we have;

[tex]\frac{x}{6}[/tex] = [tex]\frac{45}{75}[/tex]

45x = 6 x 75

45x = 450

x = [tex]\frac{450}{45}[/tex]

x = 10

The height of the solar panel is determined to be 10 m.

plz help me fast Thomas goes out to eat at a restaurant and orders fajitas for $12.95 and orders a soft drink for $1.50. Tax is 7% on his total order, and thomas plans to leave with a 20% tip on the entire bill including tax. How much will his dinner cost including tax and tip.

Answers

Answer:

$18.55

Step-by-step explanation:

I added the meal and drink then used a calculator and addded that total plus 7% of it then I added 20% of that to get 18.55

12.95+1.50 = x

x + 7% = y

y+ 20%

1. What is the equation of a parabola that has a vertex at (-2, 4) and goes through the point (0,8)?

Answers

Answer:

y - k = (x + 2)^2

Step-by-step explanation:

The vertex equation of a vertical parabola is

y - k = a(x - h)^2, where (h, k) is the vertex.

We are given h = -2, k = 4, x = 0 and y = 8 and need to find the value of a.

8 - 4 = a(0 + 2)^2, or

4 = 4a, so a must be 1.

Then the desired equation is:

y - k = (x + 2)^2

Vera and her three sisters received the same amount of money to go to the school festival. Each girl spent $12. Afterward, the girls had $24 altogether.



Which equation can be used to determine the amount of money, m, each girl received?

Multiple choice question.

Answers

Answer:

Each girl (m) had $18.

Step-by-step explanation:

They each had $18.Then, they each spent $12.So, they each have $6; 6x4 = $24 left

The Equation to determine the amount of money, m, each girl received is 4m = 72 or m = 12(4) + 24

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Each girl spent $12.

Afterward, the girls had $24 altogether.

let each Girl received amount of $x.

So, the four spend = 12 x 4 = $48

Then, the total they have = 48 + 24 = $72

So, each of Girl have = 72/ 4 = $18.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

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3+ 5/7x_>_1+x?
Hdjdhdudjdjdheirhdhfhhfh

Answers

Answer:

Step-by-step explanation:

girl what is wrong with that screen lol

hi can someone help me with this? ​

Answers

Answer:

h = 4.5 units

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 6.75 and b = 3 , then

[tex]\frac{1}{2}[/tex] × 3h = 6.75

1.5h = 6.75 ( divide both sides by 1.5 )

h = 4.5

we have

base [b]=3 units

height [h]=x units

area of triangle =6.75 square units

we have

area of triangle =1/2 b×h

6.75 square units =1/2×3×x

x=6.75×2/3=4.5units

so height is 4.5 units.

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