What is the equation of a line that passes through the points (–3, 4) and (2, 8)?

Answers

Answer 1

Answer:

=5

Step-by-step explanation:

4-9= -5

2-3 = -1

=5

.....

Answer 2

Answer:

y = \frac{4}{5}x + \frac{32}{5}

Step-by-step explanation:

(x₁ , y₁) = (-3, 4)  & (x₂ , y₂) = (2 , 8)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

         [tex]= \frac{8-4}{2-[-3]}\\\\= \frac{8-4}{2+3}\\\\= \frac{4}{5}[/tex]

m = 4/5 ;

Equation of the line: y - y₁ = m(x - x₁)

[tex]y - 4 = \frac{4}{5}(x - [-3])\\\\y - 4 = \frac{4}{5}(x +3)\\\\y - 4 = \frac{4}{5}x + \frac{4}{5}*3\\\\ y = \frac{4}{5}x + \frac{12}{5}+4\\\\ y = \frac{4}{5}x + \frac{12}{5} + \frac{4*5}{1*5}\\\\ y =\frac{4}{5}x + \frac{12}{5} +\frac{20}{5}\\\\ y = \frac{4}{5}x + \frac{32}{5}[/tex]


Related Questions

You decide to market your own custom computer software. You must invest $3,255 for computer hardware, and spend $2.90 to buy and package each disk. If each program sells for $13.75, write a system of equations and determine how many disks you must sell to break even.

Answers

Answer:

13.75x = 3,255 + 2.90x

Step-by-step explanation:

Given that,

Amount invested on computer hardware = $3,255

Amount invested to buy and package each disk = $2.90

Selling price for each program = $13.75

We need to find the equation that is used to find how many disks you must sell to break even. Let there are n disks that you must sell.

ATQ,

$3,255 is a fixed amount. $2.90 and $13.75 depends on x.

So,

13.75x = 3,255 + 2.90x

We can solve the above equation to find the no. of disks.

13.75x - 2.90x = 3255

10.85x = 3255

x = 300

Hence, you must sell 300 disks to break even.

I have a half-full bottle of water and it has more than 8 ounces in it. What would be the expression

Answers

Answer:

The equivalent expression is [tex]\frac{1}{2}\cdot V_{max} > 8\,oz[/tex].

Step-by-step explanation:

The best approach consists in translating the sentence given in the question into mathematical terms until an expression is complete:

(i) I have a half-full bottle of water

Translation: I use a bottle with a maximum volume capacity [tex]V_{max}[/tex], measured in ounces, a half of it is full of water:

[tex]\frac{1}{2}\cdot V_{max}[/tex]

(ii) And it has more than 8 ounces in it

Translation: The volume occupied by the water is greater than 8 ounces. Hence, we get the following inequation:

[tex]\frac{1}{2}\cdot V_{max} > 8\,oz[/tex]

How come nobody answers my questions? Like wth, I'm stuck but everyone else is getting their questions answered left and right.

Answers

Answer:

That is a good question and it might be your question you are trying to find the answer and maybe  your  question looks hard

Hope this help :)

Step-by-step explanation:

Help me please. I need helpppppoooooopppppopopppp

Answers

Answer:

0

Step-by-step explanation:

The minimum number of cavities a patient had was 0 cavities.

Answer:

0

Step-by-step explanation:

The smallest number that indicates cavity is '0' therefore it is the minimum number of cavities

What is the answer to it?

Answers

Answer:

The answer is

[tex] - 6x + 17[/tex]

What is the solution to the equation -6x + 9 – 4x = 14?

Answers

[tex] - 6x + 9 - 4x = 14 \\ - 6x - 4x = 14 - 9 \\ - 10x = 5 \\ x = \frac{5}{ - 10} \\ x = - \frac{1}{2} \\ x = - 0.5[/tex]

PLEASE HELPpppppppppppppppp

Answers

Answer: 140%

Step-by-step explanation:

Cost of the coats = $45 each

Selling price of the coat = $63 each

The percent of the purchase price that is the sales price would be:

= 63/45 × 100

= 7/5 × 100

= 140%

Therefore, the answer is 140%.

PLS HELP THIS IS TIMED

Answers

C because you divide both sides first

Point M is the midpoint of point A and point B. Find the coordinates of point B .

A(-7,-10) M( -19/2 , -9/2)​

Answers

Answer:

coordinate of point b is 12,1 by midpoint formula

Step-by-step explanation:

take mp formula and evaluate by putting value it will give you x again same process then it will give you u

5x^2+2x-3=0 by factorisation method​

Answers

Answer:

x = - 1, 0.6

Step-by-step explanation:

[tex]5 {x}^{2} + 2x - 3 = 0 \\ \\ 5 {x}^{2} + 5x - 3x - 3 = 0 \\ \\ 5x(x + 1) - 3(x + 1) = 0 \\ \\ (x + 1)(5x - 3) = 0 \\ \\ x + 1 = 0 \: \: or \: 5x - 3 = 0 \\ \\ x = - 1 \: \: or \: \: x = \frac{3}{5} \\ \\ x = - 1 \: \: or \: \: x = 0.6 \\ \\ x = - 1, \: \: 0.6[/tex]

Answer:

X= -1 or X=3/5

Step-by-step explanation:

5x^2+2x-3=0

(x+1)(5x-3)=0

x= -1 or 5x/5=3/5

x=3/5


Need help with question

Answers

Your answer is gonna be the second one!

​If ​y ​= 80 when ​x ​= 32, find ​x ​when ​y ​= 100.

Answers

Answer:

when y=80 the value of x is 32 and when y=100 what is the value of x so Criss cross 80=32

and 100= x so the answer will be 32*100 divided by 80 is equal to 40 I guess it's 40 the value of x is 40 in my guess

what would be the slope of (1,-2) and (3,0)

Answers

Answer:

1

Step-by-step explanation:

Hello :)

So to answer this problem, we can use the rise over run formula.

The rise is the difference of any two y values.

The run is the difference of the x values from the same two y values.

This question gives us 1,-2 and 3,0

We can use them for the formula:

-2 - 0 divided by 1 - 3

-2/-2 = 1

Answer:

[tex]m=1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

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

Step-by-step explanation:

Step 1: Define

Point (1, -2)

Point (3, 0)

Step 2: Find slope m

Substitute [Slope Formula]:                    [tex]m=\frac{0+2}{3-1}[/tex]Evaluate Addition/Subtraction:              [tex]m=\frac{2}{2}[/tex]Evaluate Division:                                   [tex]m=1[/tex]

A company loses $5,400 as the result of a manufacturing defect. Each of the 8 owners have agreed to contribute an equal amount, x, to help pay for the losses.

Part A
Which expression shows the total loss after the owners contribute some money?

Answers

Answer:

x=$5400:8

$5400:8x = total loss after the owners contribution

The expression shows the total loss after the owners contribute some money is 8x = 5400

Equation

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the amount contributed by each owner as loss.

Since there are 8 owners sharing a loss of $5400, hence:

8x = 5400

x = 675

The expression shows the total loss after the owners contribute some money is 8x = 5400

Find out more on equation at: https://brainly.com/question/13763238

In the worlds coolest freezer sodium gas was cool to temperature of 78.5 below zero and then called 194.65 more what was the new temperature of the sodium gas

Answers

Answer:

[tex]-273.15^{\circ}\text{C}[/tex]

Step-by-step explanation:

[tex]T_i[/tex] = Initial temperature of sodium gas = [tex]-78.5^{\circ}\text{C}[/tex]

[tex]\Delta T[/tex] = Change in temperature of sodium gas = [tex]-194.65^{\circ}\text{C}[/tex]

[tex]T_f[/tex] = Final temperature of sodium gas

Change in temperature of gas is given by

[tex]\Delta T=T_f-T_i\\\Rightarrow T_f=\Delta T+T_i\\\Rightarrow T_f=-194.65+(-78.5)\\\Rightarrow \Delta T=-273.15^{\circ}\text{C}[/tex]

The new temperature of sodium gas is [tex]-273.15^{\circ}\text{C}[/tex].

A restkaurant worker is able to clean 32 dishes in 8 minutes. How many minutes would it take to clean 58 dishes?

Answers

Answer:

14.5

Step-by-step explanation:

Find the unit rate

Choose the number sentence whose product is 5.85.
A. 1.7 x 3.5
B. 26 x 2.25
C. 4.5 x 2.3
D. 1.3 x 4.5

Answers

Answer:

D

1.3 times 4.5 is 5.85

Answer:

D

Step-by-step explanation:

BRAINLYEST please

Is -4 a integer yes or no

Answers

Answer:

Yes

Step-by-step explanation:

A integer is any number that's not a fraction.

Answer:

yes

Step-by-step explanation:

integer are numbers that aren't a fraction

A school basketball team has an expense account and a fundraising account. After t weeks, the balance of the expense account is (450−70t) dollars and the balance of the fundraising account is (275+48t) dollars.

a. Write an expression in simplest form that represents the total amount (in dollars) in both accounts after t weeks.

Answers

Answer: 707$ because

Step-by-step explanation: if you do the math you can only get this number the wrong and right way

The machine that Holley operates tightens 40 bolts every 3 minutes. The bolts are delivered to her machine station in boxes containing 1,000 bolts each. Which equation can be used to determine t, the number of minutes it takes Holley's machine to tighten a box of 1,000 bolts at the same tightening rate?

Answers

Answer:

75

Step-by-step explanation:

Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below.

A rectangle with a length of 3 x and height of x.

If Kyle uses 18 feet of wood to make the frame, what is the length of the frame?

Answers

Answer:

D

Step-by-step explanation:

Answer:D

Step-by-step explanation: got it right

When 17 is divided by K ; where k is a positive integer less than 17 the remainder is 3 .What is the remainder when the sum of the beta possible values of Kivided by 17.

Answers

Answer:

The remainder is 4.

Step-by-step explanation:

Note: This question is not correctly stated. It is therefore correctly restated before answering the question as follows:

When 17 is divided by k; where k is a positive integer less than 17, the remainder is 3. What is the remainder when the sum of the possible values of k is divided by 17?

The explanation of the answer is now given as follows:

Since k < 17, it implies that the possible values of k must be from between 1 and 16 inclusive.

Between 1 and 16, only 7 or 14 will give a remainder of 3 when either of them is used to divide 17. Therefore, 7 and 14 are the possible values of k.

Therefore, we have:

Sum of the possible values of k = 7 + 14 = 21

Also, we have:

Sum of the possible values of k divided by 17 = 21 / 17 = 1 with a remainder of 4.

Therefore, the remainder is 4 when the sum of the possible values of k is divided by 17.

Find the slope of the line
that goes through the given
points
t
(1,2) (3,-4)
I
1

Answers

Answer:

Step-by-step explanation:

y2-y1=

x2-x1

2--4=6(negatives cancel out)

3-1=2

so 6/2 =3

3 is slope

 Can someone pleaseeee help if you’re correct I’ll give u brainlist

Answers

Answer:

p=65

Step-by-step explanation:

180-50=130

130/2=65

I believe p= 65 degrees

A cube has a side length of 6 cm. What is the volume of the cube, in cubic centimeters ​

Answers

Answer:

V=216cm³

Step-by-step explanation:

V=216cm³

What is the length of AC?

A. Square root of 2
B. Square root of 5
C. 3
D. 5

Answers

Answer:

B. √5 units

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A (-3, 2)

Point C (-1, 3)

Step 2: Find distance d

Substitute [DF]:                    [tex]d = \sqrt{(-1+3)^2+(3-2)^2}[/tex]Add/Subtract:                       [tex]d = \sqrt{(2)^2+(1)^2}[/tex]Exponents:                           [tex]d = \sqrt{4+1}[/tex]Add:                                      [tex]d = \sqrt{5}[/tex]

What time is it exactly 1,440,000 minutes after 10 pm

Answers

Answer:

The answer is 11 PM

Step-by-step explanation:

1,440,000 minutes is the same as 24,000 hours. Then, you add that to 10pm of that day and you get 11 pm. It is the same as multiplying 24 x 1000 hrs. it is like adding 1000 days to that since it is 24 hrs in one day. Hope this helped!!

Answer:

11:00 pm

Step-by-step explanation:

1,440,000 minutes, convert it into hours and you get 24,000 hours. Since 24 hours equal a day 24,000 is 1,000 days. Attach 10:00 pm since its exactly 1,000 days after and you get 11:00 pm.

Find the solution of the system of equations.
- 7x – 4y = -44
7x - 3y = 16

Answers

Answer:

{x,y} = {5,8}

Step-by-step explanation:

 [1]           7x-3y+5=16

 [2]           4y=3x+17

 

  [1]    7x - 3y = 11

  [2]    -3x + 4y = 17

// Solve equation [2] for the variable  y  

 

 [2]    4y = 3x + 17

 [2]    y = 3x/4 + 17/4

// Plug this in for variable  y  in equation [1]

  [1]    7x - 3•(3x/4+17/4) = 11

  [1]    19x/4 = 95/4

  [1]    19x = 95

// Solve equation [1] for the variable  x  

  [1]    19x = 95  

  [1]    x = 5  

// By now we know this much :

   x = 5

   y = 3x/4+17/4

// Use the  x  value to solve for  y  

   y = (3/4)(5)+17/4 = 8

A friend purchases items from a website and resells them on her own website. She typically marks up her merchandise 40%. If she purchased an item for 15$, what price should she set for the item?

Answers

Answer:

$21

Step-by-step explanation:

Step one:

given

she purchased an item for $15

marks up her merchandise 40%.

let us find 40% of $15

and add the answer to the initial price of the item

Step two:

40/100*15

=0.4*15

=$6

Hence the price should she set for the item is

=15+6

=$21

can you help me please?​

Answers

Answer:

it is a it the first one. 7/13

Answer:

A.

Step-by-step explanation:

The bottom number is the same so leave then and just add the top.

Makes 7/13

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