Write an equation that has a slope of 2 and goes through the point (2, 1).

Answers

Answer 1

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

When given the slope and a point and we are asked to find the equation of the line, we can use the point-slope form.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Let's let m be 2 and let (2,1) be x₁ and y₁. Thus:

[tex]y-1=2(x-2)[/tex]

Distribute the right:

[tex]y-1=2x-4[/tex]

Add 1 to both sides:

[tex]y=2x-3[/tex]

And that's our equation.

And we're done!


Related Questions

whats x/7 = 4 in one step equations

Answers

Answer: x = 28

Step-by-step explanation: You multiply each place by 7 to get the x by itself and you get 28 as an answer

Answer:

28

Step-by-step explanation:

x/7=4

x=4*7

x=28

Question 3

4

If JL = 9x - 5, LR = 7x - 2, and JR = 35, find JL. Round your answer to the nearest tenth.

Answers

Answer:

JL = 166 units

Step-by-step explanation:

Given that,

JL = 9x - 5, LR = 7x - 2, and JR = 35

Let us assume that, R is the midpoint of J and L. So,

JL = JR + RL

Putting all the values,

9x - 5 =35 + 7x - 2

Taking like terms together as follows :

9x-7x = 33 + 5

2x = 38

x = 19

Put the value of x inm, JL = 9x-5

JL = 9(19)-5

JL = 166

The value of JL is 166 units.

Help i dont understand this please help :(

Answers

x=4 so it would be -5(4) + 2 which is -18

Answer:

-16

Step-by-step explanation:

-5(4)+2

-18+2

-16

−6x+2x−5+2: simplified

Answers

Answer:

-4x-3

Step-by-step explanation:

all you do is combine like terms: -6x+2x=-4x and -5+2=-3

so the answer would be -4x-3

Given 2x² = -8, x is

Answers

Answer:

its 2i or -2i

Step-by-step explanation:

just did it and also the next one is -4 and 10

Answer:

your answer will be "2i or -2i"

for the next it is   -4 and 10

Step-by-step explanation:

The article ``Oxygen Consumption During Fire Suppression: Error of Heart Rate Estimation" reported the following data on oxygen consumption (ml/kg/min) for a sample of ten firefighters performing a fire suppression simulation:
29.5 49.3 30.6 28.2 28.0 26.3 33.9 29.4 23.5 31.6
Compute the following:
a. The sample range.
b. The sample variance s2 from the definition (i.e. first computing deviations, then squaring them, etc.).
c. The sample standard deviation.
d. s2 using the shortcut method.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

29.5 49.3 30.6 28.2 28.0 26.3 33.9 29.4 23.5 31.6

Sort in ascending order of magnitude :

23.5,26.3,28.0,28.2,29.4,29.5,30.6,31.6,33.9,49.3

A) Range of the sample data:

(maximum - minimum)

49.3 - 23.5 = 25.8

B) sample variance :

S² = ∑ (x − m)²/ n − 1.

m = mean ; n = number of observations

m = (23.5 + 26.3 + 28.0 + 28.2 + 29.4 + 29.5 + 30.6 + 31.6 + 33.9 + 49.3) = 310.3 / 10 = 31.03

∑ (x − m)² = 443.801

n - 1 = 10 - 1 = 9

S² = ∑ (x − m)²/ n − 1

S² = 443.801 / 9

S² = 49.311222 = 49.31

C) The standard deviation (s):

S = √[∑ (x − m)²/ n − 1]

√variance = √49.311222

S = 7.0221949

S = 7.022

D) using statistical calculator,

S² = 49.31

Answer:

C

Step-by-step explanation:Hope this helps!:>

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. f(x) = -2x4 + 4x3 + 3x2 + 18

Answers

Step-by-step explanation:

USING RATIONAL ROOT THEOREM:

a = ±2

Factors of a are ±1 ,±2

For the constant term

c= ±18

The factors of c are ±1,±2,±3,±6,±9 and ±18

THE POSSIBLE ZEROES ARE GIVEN BY

c/a=(±1,±2,±3,±6,±9,±18)/(±1 ,±2)

Therefore, the possible zeroes are

±1,±2,±3,±6,±9,±18,±1/2,±3/2,±9/2

Which number is the same distance from 0 on a number line as 3/2 answers -3 -3/2 -2/3 2/3 3

Answers

Answer:

-3/2

Step-by-step explanation:

You are going a distance of 3/2 to the right, to get 3/2. You are going the same distance of 3/2 to the left, to get -3/2. Same distance traveled on a number line, just in different directions making it positive/negative.

Enter the answer in the space provided.
Mariah walks 6 miles per hour. Bobby walks 4, 400 yards in a half-hour.
Given that 1 mile = 1,760 yards, how much faster does Mariah walk than Bobby, in miles per hour?
Enter the answer in the space provided.
Shaun rides his bike at a speed of 19 miles per hour. How far, in miles, does Shaun travel in 25 minutes when rounded to the nearest
hundredth?

Answers

Answer:

Part 1: 1 mile.

Part 2: 1.32 mph.

Step-by-step explanation:

The correct speed of Mariah walks faster than Bobby, in miles per hour - 1 mile per hour.

Shaun travel in 25 minutes in the given case, when rounded to the nearest  hundredth - 7.92 miles.

Part 1.

Given:

speed of Mariah = 6 miles per hour

speed of Bobby = 4, 400 yards per half hour

= 8800 yards per hour

1 mile = 1760 yards

Solution:

To find out the speed difference of both Mariah and Bobby, we need to convert speeds in the same units that is mile:

=> speed of bobby = [tex]\frac{8800}{1760}[/tex]

=> speed of bobby = 5 miles per hour

as it is given 1 mile = 1760 yards

=> Now, the speed difference between Mariah and Bobby is

= 6 - 5

= 1 mile per hour.

Thus, Mariah walks faster than Bobby, in miles per hour - 1 mile per hour.

Part 2:

Given:

Speed of Shaun =  19 miles per hour

distance traveled in 25 minutes = ?

Solution:

To find out the traveled distance by Shaun in 25 minutes we need to find the speed per minute:

1 hour = 60 minutes

So as given, 19 miles per 60 minutes

then speed per minute = [tex]\frac{19}{60}[/tex]

= 0.316

then traveled in 25 minutes-

=> [tex]0.316*25[/tex]

=> = 7.92

Thus, Shaun travel in 25 minutes in the given case, when rounded to the nearest  hundredth - 7.92 miles.

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Add 15,7,.5 PLEASE WILL MARK U BRAINLEST PLEASE HELP

Answers

Answer:

27

Step-by-step explanation:

15+7=22+7=22

Answer: 27

Step-by-step explanation:

15+7=22

22+5=27

I hope this helped!!

What is the first step when adding the fractions 2/5+7/10

Answers

get the denominators to match

Answer:

firs find the least common multiple (LCM) of the denominators

Step-by-step explanation:

2/5+7/10

Multiples of 5 = {5,10,15,20,25,30,35...}

Multiples of 10 = {10,20,30,40,50...}

Common multiples = {10,20,30,...}

Least Common Multiples = {10}

2/5+7/10

= 2(2) + 7(1)

= 11/LCM

But the LCM = 10

11/10

write an equation for the difference of p and 4

Answers

Answer:

p-4

Step-by-step explanation:

Difference means subtraction

p-4

Answer: p - 4

Explanation: The word difference tells us that we need to subtract.

So the difference between p and 4 can be represented as p - 4.

I feel that I can divide the least count into 5 segments. How would I express my uncertainty of this ruler with one significant digit?

Answers

Answer:

depression

Step-by-step explanation:

Give an answer to the picture above or below

Answers

Answer:

Graph

Step-by-step explanation:

How is mulhplying intergers
Similar to multiplying whole
numbers?

Answers

Answer:

Multiplying integers is similar to multiplying whole numbers because integers are whole numbers. An integer is a whole number that is not a fraction.

Hope This Helps :)

What’s the value of x in both a & b?

Answers

Answer:

a) 7

b) 2 2/7

Step-by-step explanation:

A) 2/7=2/x

x=7

B) 2/7=x/8

cross multiply

16=7x

x=16/7, or 2 2/7, or 2.2857

Does anyone know how to answer this? The Probability that you draw a mechanical pencil from a group of 25 mechanical and wooden pencils is 3/5. How many are mechanical pencils?

Answers

Answer:

There are 15 mechanical pencils

Step-by-step explanation:

Recall that the probability of drawn a mechanical pencil from a larger group is given by the quotient of the number of mechanical pencils divided the total number of pencils in the sample.

so that means:

[tex]P=\frac{x}{25} \\[/tex]

being x the number of mechanical pencils and 25 the total of all pencils in the sample. Since they give as P as 3/5, we can solve for the number of mechanical pencils (x) using the equation:

[tex]P=\frac{x}{25} \\\\\frac{3}{5} =\frac{x}{25}\\x=\frac{3\,*\,25}{5} \\x=15[/tex]

So there are 15 mechanical pencils in the sample.

the first term of an arithmetic sequence is equal to 200 and the common differencence is equal to -10. find the value of the 20th term​

Answers

Answer:

The value for 20th term is 10.

Step-by-step explanation:

First, you have to find the formula for the sequence.

[tex]an = a + d(n - 1)[/tex]

[tex]let \: a = 200,d = - 10[/tex]

[tex]an = 200 - 10(n - 1)[/tex]

[tex]an = 200 - 10n + 10[/tex]

[tex]an = - 10n + 210[/tex]

Given that the formula of this sequence is an = -10n + 210. Next, you have to find 20th term :

[tex]let \:n = 20[/tex]

[tex]20th \: term = - 10(20) + 210[/tex]

[tex]20th \: term = - 200 + 210[/tex]

[tex]20th \: term = 10[/tex]

(Correct me if I am wrong)

What is 1.13 with 13 repeating as a fraction

Answers

Answer:

x = 17/15 or 1 2/15

Step-by-step explanation:

I got it directly from Khan

A television with a 6:4 screen shows an image with a ratio of 6:5 which creates a letter boxed image. What percent of the screen’s area is occupied by the image? 1.25% 80% 20% 400%

Answers

Answer:

i hope this is the right answer 1.25%

Step-by-step explanation:

6:4 and 6:5 is one away from each other so it must me 1.25%

Determine the number of degrees for the angle in section B of the pie chart . Round to the nearest whole degree Please assist me

Answers

Answer:

115°

Step-by-step explanation:

Measure of the degree of the angle represented by section B on the chart = percentage in the pie chart ÷ 100 × 360. A full circle makes 360°.

Section B represents 32% of the pie chart, therefore, number of degrees for section B = [tex] \frac{32}{100}*360 = \frac{32*360}{100} [/tex]

[tex] = 115.2 [/tex]

Section B = 115° (to the nearest whole number)

find the inverse of the following function g(x) = -2x+3

Answers

Answer:

[tex]g(x)^-1 = \frac{-x}{2} +\frac{3}{2}[/tex]

Step-by-step explanation:

1) swap x and y

x = -2y + 3

2) solve for y

[tex]x=-2y+3[/tex]

[tex]2y=-x+3[/tex]

[tex]y=\frac{-x}{2} + \frac{3}{2}[/tex]

Answer:

[tex]\frac{y+3}{2}[/tex]

Step-by-step explanation:

Which is a pair of vertical angles? ∠VRU and ∠SRT ∠TRS and ∠VRW ∠TRV and ∠WRU ∠WRV and ∠SRW

Answers

Answer:

b

Step-by-step explanation:

jus did it

Setup an equation then find x

Answers

Answer: 2

Step-by-step explanation:            

PLZ HELP I NEED TO SUMMIT THIS

Answers

Help with what, unless there is a picture, my phone is glitchy and i cant see pics for sum reason

Find the point P where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = -5.

Answers

Replace x, y, and z in the plane's equation with their appropriate parametric equations, then solve for t, then evaluate x, y, and z at this t to find the point P.

[tex]x+y-z=-5[/tex]

[tex](1+t)+2t-(-3t)=-5[/tex]

[tex]6t+1=-5[/tex]

[tex]6t=-6[/tex]

[tex]t=-1[/tex]

[tex]\implies x=0,y=-2,z=-3[/tex]

So the point P is (0, -2, -3).

Here, we are required to find the point, P where the lines:

x = 1 + t x = 1 + ty = 2t x = 1 + ty = 2tz = -3t

intersects the plane x + y - z = -5.

The point, P where the lines intersects the plane is given by;

he point, P where the lines intersects the plane is given by;P (0, -2, 3)

Therefore, to find this point, we have to substitute for x, y and z in the equation of the plane.

Therefore, we have;

1 + t + 2t -(-3t) = -5.therefore 6t = - 6and ultimately t = -1

To get the coordinates of the point P where the lines intersect the plane; we can then find x, y and z by substituting t into each of their equations.

Therefore;

x = 1 + (-1) = 0x = 1 + (-1) = 0y = 2(-1) = -2x = 1 + (-1) = 0y = 2(-1) = -2z = -3(-1) = 3

Therefore, the point, P where the lines intersects the plane is given by;

P (0, -2, 3)

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Can somebody help me pleaseeeee


Multiply -5/8•(-3)

Answers

Answer:3 [ 1 5 -5 6 0 0 ]

3 x 1 = 3

3 x 5 = 15

3 x -5 = -15

3 x 6 = 18

3 x 0 = 0

3 x 0 = 0

[ 3 15 -15 18 0 0 ]

[ 3 15 ]

[ -15 18 ]

[ 0 0]

The answer is B and I hope I explained this well for you

Step-by-step explanation:

Answer:

1.875

Step-by-step explanation:

Find the value of Y
a) 10
b)28
c)20
d)152
e)128

Answers

Answer:

I THNK MAY BE 28 by putting value of x and finding value of y.

Step-by-step explanation:

4x-12=2x+8

or,4X-2x=12+8

or,2x=20

or,x=20/2

therefore, x=10

then do, 4x-12+7y+12=180 the answer which comes is your required ans . it may be 28

you get out of school and walk orth for 20 minuties yo travel 1.6km what si the average velocity

Answers

Answer: The answer would be 1.6 :)

Answer:

The average velocity is:

4.8 km/hour

Step-by-step explanation:

1 hour = 60 minutes

20 minutes = 20/60 = 0.3333 hour

Proportions

1.6km ⇔  0.3333 hour

W km ⇔   1 hour

W = 1.6*1/0.3333

W = 4.8 km/hour

60 is 150% of what in math

Answers

Answer:

40% is the answer to your question.

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