A line passes through the points (4, 3) and (- 2, 1) . The slope of this line in simplest form is

Answers

Answer 1

Answer:

[tex]m=\frac{1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (4, 3)

Point (-2, 1)

Step 2: Find slope m

Substitute:                     [tex]m=\frac{1-3}{-2-4}[/tex]Subtract:                        [tex]m=\frac{-2}{-6}[/tex]Simplify:                         [tex]m=\frac{1}{3}[/tex]
Answer 2

Answer:

1, 1/2 2, 4/3

Step-by-step explanation:

If we graph each points. Slope = rise/run

1. U would go 1 up and go 2 to the right. Which equals 1/2 so it’s simplified

2. U would go 4 to the right side and 3 down. Which equals 4/3 u can put it in a decimal if u want or keep it 3/4 it’s fine.


Related Questions

Two planes travel at a constant speed which plane a travels 2000 and 800 miles in five hours Plan B travels 3885 miles in seven hours which plane is faster

Answers

Answer:

Since its speed is higher, plane 1 is faster than plane 2.

Step-by-step explanation:

Comparing Speeds

The formula for the speed of an object who travels a distance d in a time t is:

[tex]\displaystyle v=\frac{d}{t}[/tex]

We have to compare the speeds of the two planes:

The first plane travels d1=2800 miles in t1=5 hours

The second plane travels d2=3885 miles in t2= 7 hours

Calculate both speeds as follows:

[tex]\displaystyle v_1=\frac{d_1}{t_1}[/tex]

[tex]\displaystyle v_1=\frac{2800}{5}[/tex]

[tex]v_1=560\ mi/h[/tex]

[tex]\displaystyle v_2=\frac{d_2}{t_2}[/tex]

[tex]\displaystyle v_2=\frac{3885}{7}[/tex]

[tex]v_2=555\ mi/h[/tex]

Since its speed is higher, plane 1 is faster than plane 2.

F (x) = 3x^2 vertex __________ axis __________ x-int __________ y-int __________ max/min _________ value __________ domain __________ range _________

Answers

Answer:

F(x) = 3·x² vertex (0, 0) axis x = 0 x-int (0, 0) y-int (0, 0) min minimum  value (0, 0) domain (x ∈ R) range (f(x) ∈ R+)

Step-by-step explanation:

The given function is f(x) = 3·x²

The given parabola in vertex form y = a(x - h)² + k

Where;

(h, k) = The vertex

By comparison, we have;

h = 0

k - 0

Therefore;

1) The vertex = (0, 0)

2) The axis of symmetry = The line x = 0

3) The x-intercept = The vertex = (0, 0)

4) The y-intercept = The vertex = (0, 0)

5) The minimum value = The vertex = (0, 0)

6) The domain = All real numbers (x ∈ R)

7) The range = All positive real numbers including 0 (f(x) ∈ R+)

Pat’s Painting Company charges a $125 painting fee, plus $17.50 per hour. Write and solve an equation to determine how many hours the company worked if they were paid $221.25 for one job.

Answers

Answer:

5.728 hours

Step-by-step explanation:

$225.25 - $125 =

$100.25

$100.25/ $17.50 =

5.728 hours

Answer:

Step-by-step explanation:

Let x be the number of hours worked

17.5x + 125 = 221.24

17.5x = 221.25 - 125

17.5x = 96.25

x = 96.25/17.5

x = 5.5 hours

Ericka observed the total variation in the water level over 6.2 years to be −13.64 mm. She compared this to the average annual trend, which shows the water level rising 1.8 mm/year. Remember, she used 6.2 years as her time period. What is the difference between how much average water levels rose and how much the water level fell in the part of the river she observed?

Answers

Answer:

3.96mm/year

Step-by-step explanation:

Given that :

Given that:

Observed variation in water level over 6.2 years = - 13.64mm

Average annual trend shows rise in water level at 1.8 mm / year

difference between how much average water levels rose and how much the water level fell in the part of the river she observed?

Average Yearly observed variation :

Observed variation / number of years

-13.64mm / 6.2 years

= - 2.16 mm

Hence, observed yearly fall = - 2.16 mm

Yearly rise = 1.8mm / year

Difference :

( 1.8 mm/year) - (-2.16mm / year)

= (1.8 + 2.16) mm/year

= 3.96 mm/year

Answer:

24.8 millimeters

Step-by-step explanation:

The table shows a relationship between x-and y- values which statement describes the pattern created by the values ?

Answers

Answer:

3rd one

Step-by-step explanation:

The correct pattern created by the values is,

⇒ Each value of y is determined by adding 4 to each x - values, so the pattern is additive.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

The table shows a relationship between x-and y- values.

Now, We have;

x = 2, 4, 6, 8

y = 6, 8, 10, 12

⇒ 2 + 4 = 6

⇒ 4 + 4 = 8

⇒ 6 + 4 = 10

⇒ 8 + 4 = 12

Clearly, Each value of y is determined by adding 4 to each x - values.

Hence, The pattern is additive.

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Simplify the expression by adding or subtracting the linear expressions. 10x + 5 + 5x + 10 *
15x + 15
10x + 15
5x + 10
20x + 5

Answers

The answer would be 15x+15 because you would need to combine like terms. 10x+5x=15x and 10+5=15.

please help , picture above!

Answers

Answer:

The Slope of the hypotenuse of triangle ABC is equal to the slope of the hypotenuse of triangle CDE

Step-by-step explanation:

AE is a continuous line with consistent slope.

AC is a segment of this line and is the hypotenuse of triangle ABC.

CE is also a segment of AE and is the hypotenuse of triangle CDE.

Hope this helps.

Brendon sells tires at the local auto parts store. He told a customer that the tire width for a new tire was 21.5 centimeters. Which of the following describes the tire width for the new tire? Help please thank you!!!

Answers

Answer:

215 mm

Step-by-step explanation:

1 cm = 10 mm

21.5 cm * (10 mm)/(1 cm) = 215 mm

Answer: 215 mm

an initial amount of $55,000 is invested in an account with interest compounded continuously the interest rate is 10% find the value of the account after 14 years​

Answers

A = P(1 + rt)
P = $55,000 r= 0.10 t= 14 years
A = 55,000(1+(0.10)(14) = 55,000(2.4)
A = $132,000 after 14 years

Two lines, R and M, are represented by the following equations:

Line R: 2x + 2y = 18
Line M: x + y = 9

Which statement is true about the solution to the set of equations? (4 points)

a
It is (18, 9).

b
It is (9, 18).

c
There are infinitely many solutions.

d
There is no solution.

Answers

C because when the equations are Simplified you will get y=-x+9 for both which will give them the same line meaning the will have many Solutions

A football team loses an average of 3 yards per play. How many yards
have they lost after 4 plays? Write a number sentence to show your
answer.

Answers

The expression would be:

3x

x=number of plays

Insert 4:

3(4)

=12

They would 12 yards after 4 plays if losing 3 yards every play.

The amount of yards the football team loses after 4 plays is given by the equation A = 12 yards

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of yards the football team loses after 4 plays be A

Now , the equation will be

Let the amount of yards the football team loses per play = 3 yards

So , the amount of yards the football team loses after 4 plays = 3 x amount of yards the football team loses per play

Substituting the values in the equation , we get

The amount of yards the football team loses after 4 plays A = 3 x 4

On simplifying the equation , we get

The amount of yards the football team loses after 4 plays A = 12 yards

Hence , the amount of yards is 12 yards

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what is 4y³ - 3z⁴ when y=3 and z=2 =

Answers

Answer:

60

Step-by-step explanation:

4(y)3 - 3(z)4

Sub:- 4(3)raise to three - 3(2)raise to four

4(27)-3(16)

4*27-3*16

108-48

=60.

2089+2089? HHHHHEEELLLLPPP PLZ first to answer get brainlyset

Answers

Answer:

4178

Step-by-step explanation:

Answer:

4178

Step-by-step explanation:

THANK YOU SO MUCH I NEEDED POINTS Brainliest please!!!!

What is the Mean Absolute Deviation of the following data set: 25 15 20 17 22 28 27

Answers

Answer:

4

Step-by-step explanation:

Hope this helps!

Solve 5.4p+13.1=−2.6p+3.5 . Check your solution.



p= __

Answers

5.4p +13.1 = −2.6p+3.5 .

5.4p + 2.6p = 3.5 -13.1

8.0p = -9.6

p = -9.6 / 8

p = -1.2

five thusond ×65thousand​

Answers

Answer:

the answer is 325,000,000

Step-by-step explanation:

danny tosses a ball into the air. it's height, as a function of time , is modeled by y=-16x2+9x+4
which statement best describes the function ?
((this is for a text so please don’t guess))

Answers

Answer:

The function is non linear.

Step-by-step explanation:

Answer:

The function is nonlinear

Step-by-step explanation:

I got it wrong when i guessed something else

A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. Create a system of equations that models how many of each type of computer the business should buy.


515x + 285y = 11,080
x + y = 30



515x + 285y = 30
x + y = 11,080

515x + y = 30
x + 285y = 11,080


x + 285y = 30
515x + y = 11,080

Answers

Answer:

515x + 285y = 11,080

x + y = 30

Step-by-step explanation:

x= Amount of laptops

y= Amount of tablets

Answer:

Your answer would be A

Step-by-step explanation:

515x + 285y = 11,080

x + y = 30

The measure of angle Q is 75 degrees. Find the measure of angle P

Answers

Answer:

m<P = 30°

Step-by-step explanation:

∆PQR has two equal sides. An isosceles ∆ has two equal sides and the angles opposite the two equal sides are congruent to each other.

Thus, we can conclude that ∆PQR is an isosceles ∆ with two equal base angles, <P and <Q.

Since m<Q = 75°, therefore, m<R = 75°.

m<P = 180 - (75 + 75) (sum of ∆)

m<P = 30°

if the ice melts at a rate of 2 in3per minute, how long do you have to eat your treat before it allmelts?

Answers

Answer:

You have to eat it all fast

Step-by-step explanation:

There is not real question here

Probably a minute and 20 seconds

when this polynomial is divided by (m+1), the remainder is 0. What is the value of the polynomial’s constant term?

Answers

Answer: it would be -4

Step-by-step explanation:

I got it right one the mastery test

Answer: -4

Step-by-step explanation:

△DEF≅△LMN
What is the value of x?
What is the value of y?
What is the measure of angle L?
What is the measure segment EF?

Answers

Answer:

If you can pin the picture of the triangles to the comments here I would be very happy to help you!

what is the answer to this?

Answers

Answer:

AA

Step-by-step explanation:

The smaller triangle and the bigger triangle have the same angle of 60 on one side.

They also have a common point at the top, which is also called a common angle.

You only need two angles to show that two triangles are similar, because the other angle has to be the same because all angles in a triangle add up to 180.

David sells small, medium, and large bags of mints at his store. A medium bag contains three times as many mints as a small bag. A large bag contains five times as many mints as a medium bag • There are 3,510 mints in a large bag. How many mints are in a small bag?​

Answers

Answer:

This is lowkey hard

Step-by-step explanation:

Answer:

234 mints

Step-by-step explanation:

if you represent small as s, medium as m, and large as l, you can write the equations as 3s=m  5m=l and 3510=l. We can then substitute 3510 for l and get 5m=3510 divide by 5 and get m=702 put that in the other equation and get 3s=702 divide by 3 and get s=234

which value is equivalent to 3^2+5x2-8

Answers

3^2+5x2-8
9+5x2-8
9+10-8
19-8
Answer: 11

HELP
1.75^-0.5
(3/2)^2.4

Answers

Answer:

first off i just want to say i hate aleks but ill still give the answer

Step-by-step explanation:

1.75^-0.5 = 0.75592894

3/2^2.4 = 2.6461778

Michael averages 5 three-pointers in his first 4 basketball games. How many does he need to score at his 5th game in order to bring his average to 6 three-pointers per game?

Answers

Answer:

10

Step-by-step explanation:

The easiest way to understand this is not the shortest way.

Give Michael 4 fives and then add an x.

5 + 5 + 5 + 5 + x

Now divide by 5 and equate that to 6

(5 + 5 + 5 + 5 + x)/5 = 6              

Combine the left side

(20 + x)/5 = 6

Multiply by 5

(20 + x) = 6*5

20 + x = 30

Subtract 20 from both sides

x = 30 - 20

x = 10

He needs 10 three - pointers to average 6

2) If x+y=6 and xy=5 find x-y?​

Answers

Answer:

x - y = ± 4

Step-by-step explanation:

Given

x + y = 6 and xy = 5

To find

x - y

Solution

(x - y)² = (x + y)² - 4xy = 6² - 4*5 = 36 - 20 = 16 = 4²(x - y)² = 4²x - y = ± 4

CORRECT ANSWER= BRAINLIEST
A right triangle has legs that measure 7 meters and 16 meters. What is the length of its hypotenuse to the nearest whole
number?
14 meters
16 meters
17 meters
18 meters

Answers

Answer:

17 meters

Step-by-step explanation:

I did 16^2 and 7^2 to get, 256 + 49 = 305. 305 squared is 17.4... Once you round it you should get the answer 17 meters.

Hope this helps :)

Answer:

The answer is 17 meter

Step-by-step explanation:

So the formula for this is a^2 + b^2 = c^

The two legs are a and b

So plug those into the equation

It should look something like this 7^2 + 16^2 = c^2

Then solve the exponents and you get 49 + 256 = c^2

After that just add the two integers and you have 305

Finally take the square root of 305 and you get 17

pls mark brainliest because i didnt waste your time Lol

A projectile is thrown upward so that it's distance above the ground after t seconds is h=-16t^2+480t. After how many seconds does it reach its maximum height?

Answers

Answer:

t = 15 s

Step-by-step explanation:

A projectile is thrown upward so that it's distance above the ground after t seconds is as follows :

[tex]h=-16t^2+480t[/tex] ...(1)

We need to find after how many seconds does it reach its maximum height. For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

[tex]\dfrac{d(-16t^2+480t)}{dt}=0\\\\-32t+480=0\\\\t=\dfrac{480}{32}\\\\t=15\ s[/tex]

So, it will reach its maximum height in 15 seconds.

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