What is the equation in slope-intercept form of the line that passes through (2, 3) and is parallel to the line through (-2, 1) and (7, 1)?

Answer:

[tex]B(x,y) =(-7,6)[/tex]

Step-by-step explanation:

Given

[tex]A = (-10,4)[/tex]

[tex]D = (2,12)[/tex]

Required

Determine the coordinates of B

C is the midpoint of AD. So, we calculate the coordinates of C, first.

[tex]C(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where:

[tex]A = (-10,4)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]D = (2,12)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]C(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

[tex]C(x,y) = (\frac{-10+2}{2},\frac{4+12}{2})[/tex]

[tex]C(x,y) = (\frac{-8}{2},\frac{16}{2})[/tex]

[tex]C(x,y) = (-4,8)[/tex]

So, the coordinates of C is (-4,8)

The midpoint of AC is B.

So, we calculate the coordinates of B using:

[tex]B(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where:

[tex]A = (-10,4)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]C(x,y) = (-4,8)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]B(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

[tex]B(x,y) =(\frac{-10-4}{2},\frac{4+8}{2})[/tex]

[tex]B(x,y) =(\frac{-14}{2},\frac{12}{2})[/tex]

[tex]B(x,y) =(-7,6)[/tex]

Hence, the coordinates of B is (-7,6)

None of the options is correct.

Answer:

Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.

Step-by-step explanation:

Answer:

name the expression with terms like variable and constants. variable usually uses a letter like x and variables are just a number.

Step-by-step explanation:

Answer:

(3, 0)

Step-by-step explanation:

The easiest way to do this problem is to average the x-coordinates and y-coordinates.

So,  (0 + 6) / 2 = 6/2 = 3 = x   and (2 - 2)/2 = 0/2 = 0 = y

Therefore, the midpoint is (3,0)

Step-by-step explanation:

is 36 hello my name is santiago i am fron Colombia

Answer:

mabe 5

Step-by-step explanation

becuse its probly in the x1,5 becuse it slopes down 5

Answer:

Well if you deposit something you won't have it so negative. If you earn something then it is positive. So it is negative

Step-by-step explanation:

:)

Answer:

1. 2 6f

2. 31h

3. 1 1 ( 5 + 1 )

hope this helps

Step-by-step explanation:

Answer:

Distributive property:

Applied to the given expressions:

Answer:

15 b

Step-by-step explanation:

Answer:

I think the first one is $1288.94 and the second is 3001.99

Step-by-step explanation:

I might be wrong forgive me if so

Answer:

I believe 16/52

Step-by-step explanation:

There are 13 diamonds and 4 fours. Add those together then you get 17/52. It is not that since there is a four of diamonds card, so you would need to subtract one.  Then that reduces to 4/13

Answer:

10/4 or 5/2 = 2.5

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

its the base (9) times the height (15)

Answer:

135

Step-by-step explanation:

because of the rule base times hight  we know it is 135

Answer: 32 peeps

Step-by-step explanation:

Answer: $2025

Step-by-step explanation:

$1.50. x 45= 67.5 items per day. 30  days is 30 x 67.5= $2025

Answer:

a) $2025

Step-by-step explanation:

The equation you would do is

[tex](45(1.50))30[/tex]

by multiplying 45 and 1.50, you get the price of how much money she makes after one day. in order to find 30 days, just take the product of that equation and multiply it by 30 to get $2025

Answer:

a)T=k/N

b)T=15

c)N=6

Step-by-step explanation:

kindly see attached

Answer:

State the slope of the line 4.0 + 3y = 1.

Step-by-step explanation:

How do you stop depression.

Answer:

Slope=0

Step-by-step explanation:

Answer:

3 * (f - 6) / 16

Step-by-step explanation:

Answer:

$4.75

Step-by-step explanation:

multiply 4.75% by 100 and then add/ move the decimal place 2 times

Answer:

Step-by-step explanation:

The number of children is 198, adults are 99 and students are 88.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given that, the theatre sitting capacity is 385 and the theatre charges are $5.00 for children $7.00 for students, and $12.00 for adults.

Let the number of children be c, since, there are half as many adults as there are children therefore, number of adults = c/2

The number of students = 385 - c - c/2 = 385 - 3c/2

The total cost  = $2794

Therefore,

2794 = 5c+c/2×12+(385-3c/2)×7

2794 = 5c+6c+2695 - 21c/2

c = 198

Therefore, number of adults = 198/2 = 99

The number of students = 385-3/2×198 = 88

Hence, The number of children is 198, adults are 99 and students are 88.

For more references on word problems, click;

https://brainly.com/question/29203255

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Answer:

The answer is 100

Step-by-step explanation:

i took the quiz right now

Answer:

If 1 inch= 2.54 centimeters, 12 inches or 1 foot = 30.48 centimeters, so 3.5 feet = 106.68 centimeters

Step-by-step explanation:

Answer:

they are 40 feet apart!

Step-by-step explanation:

hopes this helps!!>_<

Answer:

40 Feet Apart

Step-by-step explanation:

Since the fish is 12 below sea level and the bird is 28 above sea level you just add both their distances together.

Answer:

B. 4, 4, 4√2

Step-by-step explanation:

45° - 45° - 90° is the measure of special right triangle

the side lengths that sees these angles can be shown as a, a, and a√2 the values that meets these conditions are shown in option b

Answer:

[tex]\boxed{\textsf{ The required graph of y = 4x will be a straight line passing through the origin . }}[/tex]

Step-by-step explanation:

Here we need to plot the graph for the function given to us . The function is ,

[tex]\sf \implies f(x)= 4x [/tex]

In order to plot a graph let us assume that ,

[tex]\sf\implies y = f(x) [/tex]

Hence we now get , that ,

[tex]\sf\implies y = 4x [/tex]

Now let's find out some values of x and y taking which we will plot the graph .

• So , firstly let , x = 0 then y will be equal to 4*0 = 0 . Hence we got one coordinates as (0,0) .

• Secondly let x = 1 , then y will be equal to 4*1 = 4 . Hence we get the third coordinate as (4,0) .

• Thirdly let us take that x = 0.5 then y will be equal to 4*0.5 = 2 . Hence we got the third coordinate as ( 0.5 , 2 )

• Fourthly let x = -0.5 then y will be equal to 4*-0.5 = -2 . Hence the fourth coordinate will be (-0.5 , -2)

Now when we plot it's graph taking suitable scale then it will look something like that as shown in attachment .

For the graph of y = 4x kindly refer to the attachment :) .