What is the slope-intercept equation of the line containing the points (–5, 22) and (4, 49) ?

Answers

Answer 1

Answer:

[tex]y=3x+37[/tex]

Step-by-step explanation:

Determine slope:

[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{49-22}{4-(-5)}=\frac{27}{4+5}=\frac{27}{9}=3[/tex]

Determine y-intercept:

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

[tex]49=3(4)+b[/tex]

[tex]49=12+b[/tex]

[tex]37=b[/tex]

Final equation:

[tex]y=3x+37[/tex]

What Is The Slope-intercept Equation Of The Line Containing The Points (5, 22) And (4, 49) ?

Related Questions

if p(x)=x^2-4x+3 evaluvate p(2)-p(-1)+p(1/2)

Answers

Answer:

....◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉

Please not answer just for points! I really need help~

Answers

Answer:

All I know is that it is the   Last  Option

Step-by-step explanation:

I did most of this mentally but I can kinda help you out :D

original R: (-5,-5)     New R: (-11,-11)

To go back to original R: (-11+6, -11+6)

original U: (-5, 1)        new U: (1,7)

HOPE THIS HELPEDDDD :333

if a car travels for 3 hours its average speed is 75km/h work out the total distance the car travels

Answers

Answer:

225 km

Step-by-step explanation:

75 · 3 = 225

Answer:

225 km

Step-by-step explanation:

Distance = Speed × Time

Distance = 75km/h × 3

Distance = 225km

Converting 60 minutes to seconds gives you how many seconds

Answers

Answer:

3600 seconds

Step-by-step explanation:

Each day Jacob records the number of laps and the distance he walks, in miles, on a track. Graph the relation and determine whether the distance that Jacob walks is a function of the number of laps.
{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}

Answers

The distance is 6.18 miles that Jacob walks as a function of the number of laps which is represented in the attached graph.

We have been given the relation below:

{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}

What is the distance between two points?

The distance between two points is defined as the length of the line segment between two places representing their distance.

The formula of the distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².

The given relation of function is represented in the attached graph.

Take two endpoints (3, 0.75) and (9, 2.25)

x₁ = 3, y₁ = 2.25

x₂ = 4, y₂ = 9

distance = √ (9 – 3)² + (2.25 – 0.75)²

distance = √ (6)² + (1.5)²

distance = √ (36 + 2.25)

distance = √ (38.25)

distance = 6.18 miles

Therefore, the distance is 6.18 miles that Jacob walks is a function of the number of laps.

Learn more about the distance between two points here:

brainly.com/question/15958176

#SPJ5

Simplify the expression 4(-y+2) -3y

Answers

Answer:

−7y+8

Step-by-step explanation:

1. Simplify each term.

−4y+8−3y

2. Subtract 3y from −4y.

−7y+8

Hope this helps :D

The teacher collected some snowfall data during one of the snow days last year. Estimate the total snowfall throughout the day.

Answers

The total snowfall throughout the day is the expected value of the distribution.

The estimated total snowfall during the day is 30 inches

Start by calculating the average rate of snow collected on that day.

[tex]Rate = \frac{0 + 1.5 + 2.5 + 2.0 +1.0 +0.5}{6}[/tex]

This gives

[tex]Rate = \frac{7.5}{6}[/tex]

Divide 7.5 by 6

[tex]Rate = 1.25[/tex]

There are 24 hours in a day.

So, the total snowfall is:

[tex]Total = Rate \times Hours[/tex]

This gives

[tex]Total = 1.25 \times 24[/tex]

Multiply

[tex]Total = 30[/tex]

Hence, the estimated total snowfall during the day is 30 inches

Read more about expected values at:

https://brainly.com/question/13005177

what is the sum 1,826+2,149+1,023

Answers

Answer:

4998

Step-by-step explanation:

1000+2000+1000 = 4000

800+100 = 900

20+40+20 = 80

6+9+3 = 18

4000+900+80+18 = 4998

Hope that helps!

The budget $_________ per guest

Answers

What’s the actual question?

What is the answer to 2(2x-5)

Answers

Answer: The answer is 4x - 10.

Explanation: The explanation is in the image. The explanation is showing using the distributive property to multiply 2 by 2x - 5.

Answer:

4x-5

Step-by-step explanation:

Johnathan is driving from Houston to Seattle. After 3 hours, he has traveled 150 miles. After 7 hours, he has traveled 350 miles. This information is also represented in the table below.

Driving Time

Time (hr) Distance (miles)
3 150
7 350
10 500

What is Johnathan’s average rate of speed?

Answers

Answer:

50mph

Step-by-step explanation:

first divide 150 by 3 and you get 50

then divide 350 by 7 you get 50

and finally divide 500 by 10 and you get 50

Solve 5/4=y−1/4. i need help

Answers

Answer:

I don't know

Step-by-step explanation:

Clare wants to buy a used wide-screen TV that sells for $2,000 cash. She will make a down payment of $1,000 and then six monthly payments of $200. What is the full installment price and the annual interest rate ?

Answers

The full installment price is $ 2200, and the annual interest rate is 10%.

Since Clare wants to buy a used wide-screen TV that sells for $ 2,000 cash, and she will make a down payment of $ 1,000 and then six monthly payments of $ 200, to determine what is the full installment price and the annual interest rate is due perform the following calculation:

1000 + 200 x 6 = 1000 + 1200 = 2200 1000 = 100 1200 = 120 20/12 x 6 = 10

Therefore, the full installment price is $ 2200, and the annual interest rate is 10%.

Learn more about maths in https://brainly.com/question/25866144

Simplify. Pls help really need help

Answers

Answer:

the answer is 5a

Step-by-step explanation:

How i can answer this question?, NO LINKS, if you answer correctly i'll give u brainliest!

Answers

6•(4a-3b)

Steps:

Rewrite -18 as 3• 6
Rewrite 24 as 4 • 6
= 4 • 6a + 3• 6b

= 6(4a-3b)

6(4a-3b)

if you draw a factor tree that goes like:

    24

1         24

2        12

...       ...  (and so on, you'll find 6 is the highest)

A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and each successive bounce is 80% of the previous bounce's height. What would be the height of the 12th bounce of the ball? Round to the nearest tenth (if necessary).

Answers

Answer:

0.3 feet

Step-by-step explanation:

2.75(0.8)^x

in which x is the number of bounces after the firts bouce

bouce 12 would mean x=11

2.75(0.8)^11 = 0.2

Frank and Chris both took the ABC achievement test, which is N(950,50). If frank had a z-score of 2.5 and Chris had a
score of 675, how much higher was Frank's score?
1075
1700
400
525
none of the above

Answers

Answer:  C) 400

======================================================

Explanation:

The notation N(950,50) tells us that we have a normal distribution with the following parameters:

mu = 950 = meansigma = 50 = standard deviation

Use the z score z = 2.5 to convert to its raw score x

z = (x-mu)/sigma

2.5 = (x-950)/50

2.5*50 = x-950

125 = x-950

x-950 = 125

x = 125+950

x = 1075

Frank's z score of z = 2.5 corresponds to the actual score of x = 1075. This is 1075-675 = 400 points higher than the score Chris got.

Which postulate or theorem can be used to prove the triangles congruent?

a) ASA
b) SAS
c) AAS
d) SSS
e) cannot be proved congruent

Answers

Answer:

D) SSS

Step-by-step explanation:

They have 3 sides that are congruent to each other. We don't know anything about the angles.

help please?????????​

Answers

Answer:

A, to B, to D,

or A, to E, to C, to D

Step-by-step explanation:

I need this question done please it’s the one circled

Answers

Answer:

i think 2

Step-by-step explanation:

65km ÷ x = 6 1/2km×5

65÷x = 6 1/2×5

65÷x = 13/2 ×5

65÷x = 65÷2

x = 2

so 2 is answer

answer

2

let the unknown number be x

65/x=6+1/2*5

65/x=13/2*5

65/x=65/2

65/x=32.5

x*32.5=65

x*32.5/32.5=65/32.5

x=2

Write as an equation and solve: Eight less than the number is 31.

Answers

Step-by-step explanation:

x is the number

so, the equation is

x - 8 = 31

x = 39

Answer:

n is the number

Step-by-step explanation:

n-8=31

n = 39

hoped that helped:P

Choose the correct transformation.

Answers

A, rotated then reflected

3
3
3
3
3
I pentagon
2 pentagons
3 pentagons
Represent the relationship using a table. Complete the table below.
Number of Perimeter,
Pentagons, X
1
Ordered
Pair (x,y)
2
3
(Simplify your answers.

Answers

The relationship between the number of pentagons and the perimeter will be

[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]

From the diagram in the question, each side of a pentagon has length [tex]3units[/tex].

Also, each time another pentagon is attached, a side is removed.

Using these observations, we can create a relationship between the number of pentagons, [tex]x[/tex], and the perimeter, [tex]y[/tex], as follows

For [tex]x=\text{number of sides}=1[/tex]

[tex]y=\text{perimeter}=3\times 5=15units[/tex]

For [tex]x=2[/tex]

[tex]y=3\times5+3\times5-1\\=15+15-1\\=29units[/tex]

For [tex]x=3[/tex]

[tex]y=3\times5+3\times5-1+3\times5-1\\=3\times5+3\times5+3\times5-1-1\\=15+15+15-2=43units[/tex]

The relationship will be

[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]

Learn more about perimeter here: https://brainly.com/question/17756657

Can someone please help me with this? Tysm!! ^^

Answers

Answer:

90 feet

1080 inches

Step-by-step explanation:

I hope it helps you!

How many feet is this?
90 feet
How many inches is this?
1080 inches

Zoe charges £9 per student to attend a dance class. There are y students in the class.

a . Write an expression for the total amount she charges for a class.

b. How much does she charge for 5 students?

c. How many students must she have in the class to make £72?

Answers

a. 9y ( 9 x y)

b. 9(5) - She charges 45$ for 5 students

c. 9y= 72
y = 72/9
y = 8

She must have 8 students in her class.

help please I'm stuck on this question

Answers

Answer:

120 yd²

Step-by-step explanation:

The floor consists of a square and a triangle

area of square = 10² = 100 yd²

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

Here b = 4 and h = 10 , then

area = [tex]\frac{1}{2}[/tex] × 4 × 10 = 2 × 10 = 20 yd²

company needs 100 + 20 = 120 yd²

Need help quick !!!!!!!


write an equation for the nth term of the arithmetic sequence.then fine a10

Answers

Answer is attached.

Hope it helps :)

what is the 78th term of the arithmetic sequence -4, -2, 0,

Answers

Answer:

T78=150

Step-by-step explanation:

Tn=a+(n-1)d

T78=-4+(78-1)2

T78 =-4+(77)2

T78 =-4+154

T78=150

it takes 5 days to repair 1250 meters of road.

At this rate, how many days will it take to repair 8 kilometers of road?

Answers

Answer:

2000 Meters

Step-by-step explanation:

First, DIvide 1250 by 5 and you get 250. Multiply by 8 and you get 2000.

The answer is 32 days

8 kilometres is 8000 meters

We know that 1250 meters takes 5 days, so we can work out how many times 1250 goes into 8000 to find out how many times longer it will take


8000 / 1250 is 6.4

It will take 6.4 times longer to produce 8km

6.4 x 5 is 32

32 days

I need the answer for this question if possible give me your thought process

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,0)~~ \text{and}~~ (x_2, y_2) = (-12,5)\\\\\text{Distance between two points,}\\\\d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\\implies d = \sqrt{(-12-0)^2 + (5-0)^2}\\\\\implies d = \sqrt{(-12)^2 +5^2}\\\\\implies d =\sqrt{144+25}\\\\\implies d=\sqrt{169}\\\\\implies d = 13\\\\\text{So, the answer is C.}[/tex]

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