Write the standard form of the line that passes through (-1,-3) and (2,1).

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\[/tex]

[tex]\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\[/tex]

Convert equation to standard form

[tex]y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5[/tex]

Write The Standard Form Of The Line That Passes Through (-1,-3) And (2,1).

Related Questions

write a number where the digit 1 greater than the digit 7

Answers

1000-? i think that works

The perimeter of a rectangle is 40 m. The length is 4 m more than three times the width. Find the length and the width of the rectangle.

Answers

Answer:

Width = 4 m, Length = 16 m

Step-by-step explanation:

Perimeter = 40

Width = x

Length = 3x + 4

x + x + 3x + 3x + 4 + 4 = 8x + 8

40 - 8 = 32

32/8 = x

x = 4

Width = 4

Length = 16

Please mark as Brainliest, thank you!

27. Give the perimeter of the rectangle below in
simplest form.

Answers

Answer:

The permeter will be 26 units

Step-by-step explanation:

First to find this you need to know what the value of x is to do this I will use the equation 3x - 7 = x + 2

1. add seven to both sides leaving 3x = x + 9

2. Then subtract the 1x from both sides leaving 2x = 9

3. Then divide 9 by 2 which will be 4.5, x = 4.5

Then just plug 4.5 into each x value 4.5 + 2 and 3(4.5) - 7

1. 4.5 + 2 = 6.5

2. 3(4.5) - 7 13.5 - 7 = 6.5

The perimeter of the rectangle below in simplest form will be 4(x - 3).

Length of the rectangle = 3x - 7

Width of the rectangle = x+2

The perimeter of a rectangle is given as 2(length + width). The perimeter of the rectangle given will then be:

= 2(length + width)

= 2(3x - 7) + 2(x + 2)

= 6x - 14 + 2x + 4

= 4x - 12 = 4(x - 3)

Therefore, the perimeter of the rectangle in simplest form will be 4(x - 3).

Read related link on:

https://brainly.com/question/24429956

You are buying tickets to a Star Wars Convention. The tickets cost $10 per adult and $3 per child. Parking is a one-time fee of $5. If you
purchased two adult tickets, a, and the total cost was $109, how many child tickets, c, were purchased?

Answers

Answer:

28 children tickets

Step-by-step explanation:

$109 for the whole cost

bought 2 adult tickets that costed 10$ each and payed 5$ for parking fee

add them together 25$

109-25 =84

84/3 =28

Will give brainliest answer

Answers

4 units to the right and 2 units up is the translation

Answer:

4 and 2 are the correct answers in that order

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was
7.5%, and the tax in the second city was 7%. The total hotel tax paid for the two cities was $547.50. How much was the hotel charge in each city before tax?

Answers

Answer:

let the hotel charge before tax for second hotel be x

then the hotel charge before tax for first hotel = x+1500

tax of first hotel = 7.5% * (x+1500) = (7.5x+11250)/100

tax from second hotel= 7% of x = 7x/100

total tax = 547.50

7x/100 + (7.5x+11250)/100 =547.50

14.5x = 54750-11250

14.5x= 43500

x= 3000

hotel charge in first city = 4500

in second city =3000

Step-by-step explanation:

A footballer scores in one out of five matches. What percentage of the matches does the footballer score in?

Answers

Answer:

20%

Step-by-step explanation:

100 divided by 5 =20 20x1=20

calculate the M.A.D WILL BRAINLIST

Answers

Answer:

24/760/7

Step-by-step explanation:

For the first dataset ...

d1 = {20, 22, 24, 28, 29, 29, 30}

The deviations from the mean of 26 are ...

d1 -mean(d1) = {-6, -4, -2, 2, 3, 3, 4}

so the total of the absolute values of these is 24. Since there are 7 numbers, the mean of the absolute deviations is ...

mad = 24/7

For the second dataset ...

d2 = {12, 15, 21, 30, 33, 35, 36}

The deviations from the mean of 26 are ...

d2 -mean(d2) = {-14, -11, -5, 4, 7, 9, 10}

so the total of the absolute values of these is 60. Again, there are 7 numbers, so the mean of the absolute deviations is ...

mad = 60/7

The manufacturer of pencils spends $0.05 to make each pencil and sells them for 0.25. The manufacturer also has fixed
costs each month of $2000. Find the number of pencils x that the manufacturer needs to sell in order to break even

Answers

Answer:

x=10000

Step-by-step explanation:

The break even point occurs when costs equal revenue. Write the break-even formula and solve to find

Answer:

3/65 = 0.046 = 4.6%

Step-by-step explanation:

Notice that the total number of marbles is:

6 + 14 + 8 + 12 = 40

Then , the probability of getting a black marble first is 6/40 = 3/20

Now, since the experiment is without replacing, he is left with a total of 39 marbles in the bag, and the probability of getting a clear one is now 12/39

The total probability is the product of these two:

(3/20) x (12/39) = 3/65 = 0.046 = 4.6%

what is the answer to
5 1/6 times ( -2/5)

Answers

Answer:-31/15

Step-by-step explanation: step 1: make both fractions improper

step 2: multiply numerator and denominator 31/6 x -2/5= -62/30

step 3: simplify -31/15

18. f-g4, if f =3 and g = -5=

Answers

Answer:

Step-by-step explanation:

Step 1:

3 - -5 (4)

Step 2:

3 - (-20)

Step 3:

3 + 20

Answer:

Hope This Helps :)

what is the radius of 16\pi

Answers

Id imagine it being 8

What number is the opposite of 3.5

Answers

Answer:

-2/7

Step-by-step explanation: Thats the reciprocal so...

Given the points A(-5, -6) and B(8, 2), if C is the midpoint of segment AB, find the coordinates of the midpoint of segment CB

Answers

It’s c bucko I did that

Jean masear is a saw operator in a lumber mill. He works 40 hours a week and earns $630 per week. What is his hourly pay rate

Answers

360/40=15.75 You have to divide 360 in 40

Answer:

[tex]\boxed {\tt \$15.75 \ per \ hour}[/tex]

Step-by-step explanation:

We want to find Jean's hourly pay rate. In other words, his pay per hour.

We can find the pay rate by dividing the money he is paid by the number of hours worked.

[tex]pay \ rate =\frac{money \ paid }{hours}[/tex]

He is paid $630 for 40 hours.

[tex]money \ paid= $630 \\hours= 40\ hours[/tex]

[tex]pay \ rate = \frac{\$630}{40\ hours}[/tex]

Divide.

[tex]pay\ rate = \$15.75 / hour[/tex]

His hourly pay rate is $15.75 per hour.

Please help me with these two questions.

Answers

Answer:

gooooooooood

Step-by-step explanation:

I kie that

Mr.Harris owns a bubble machine that he uses for different school events. The bubble solution contains 3/4 cup of corn starch for every 2 cups of water.

What is the rate in cups of corn starch pero cup of water

A.3/8

B.2/3

C. 1 1/2

D. 2 2/3

Answers

Answer:

3/8

Step-by-step explanation:

Divide 3/4 into 2. Got it right on iready

-17 = - 10 + x
Help me please

Answers

Answer:

x = -7

Step-by-step explanation:

Isolate x by adding 10 to both sides:

-17 = -10 + x

-7 = x

So, x = -7

What is the coefficient of the x2 term of the algebraic expression 2x4 + x2 - x + 7

Answers

Step-by-step explanation:

2x⁴ + x² − x + 7

= 2x⁴ + 1x² + -1x + 7

The coefficient of the x² term is 1.

ILL MARK BRAINLIST !!! SHOW WORK

Answers

Answer:

8748

Step-by-step explanation:

a^5b^-6

when replacing the variables with their values :

3^5 -6^2

3^5 = 3*3*3*3*3 = 243

(-6)^ 2 = 36

243 * 36 =

8748

Please help me out !!!

Answers

Answer:

i cant see the exponent sorry

Step-by-step explanation:

Can someone help me simplify 16 > x +9

Answers

Answer:

7 > x

Step-by-step explanation:

16 > x + 9

you subtract 9 from both sides to get your variable by yourself and you keep the same sign

7 > x

find the value of x. write your answer in simplest radical form

Answers

Answer:

[tex]x = 4 \sqrt{2} [/tex]

Step-by-step explanation:

To find the value of x we can use either sine or cosine

Using cosine we have

[tex] \cos(\theta) = \frac{adjacent}{hypotenuse} [/tex]

From the question

x is the hypotenuse

4 is the adjacent

We have

[tex] \cos45= \frac{4}{x} \\ x \cos45 = 4 \\ x = \frac{4}{ \cos(45) } [/tex]

We have the final answer as

[tex]x = 4 \sqrt{2} [/tex]

Hope this helps you

Step-by-step explanation:

Sinø=opp/hyp

Sin45=4/x. (× b.s by x)

xSin45=4. (÷ b.s by Sin 45)

x=4/Sin45

x=4.7

Find the value 10 4 exponent

Answers

Answer:
=10^4

=10×10×10×10
=
10
×
10
×
10
×
10

=10000

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