MATHEMATICS MIDDLE SCHOOL

I have no idea how to do this: Slope= -3, y-intercept= -1 its slope-intercept formSlope= -2, y-intercept= -4

Through: (-3,2) , slope=-1/3

Through: (3,2) and (0,-5)

x-5y-5=0

Answers

Answer 1
Answer: Slope-intercept form is \sf~y=mx+b, where \sf~m is the slope and \sf~b is the y-intercept.

Slope = -3, y-intercept = -1

Plug in what we know:

\sf~y=mx+b

\sf~y=-3x-1

Slope = -2, y-intercept = -4

Plug in what we know:

\sf~y=mx+b

\sf~y=-2x-4

Through: (-3,2) , slope=-1/3

Okay, here we use point-slope form, and the simplify to get it in slope-intercept form.

\sf~y-y_1=m(x-x_1)

Where \sf~y_1 is the y-value of the point, \sf~x_1 is the x-value of the point, and \sf~m is the slope.

Plug in what we know:

\sf~y-2=-(1)/(3)(x+3)

Distribute -1/3 into the parenthesis:

\sf~y-2=-(1)/(3)x-1

Add 2 to both sides:

\sf~y=-(1)/(3)x+1

Through: (3,2) and (0,-5)

Now we plug this into the slope-formula to find the slope, plug the slope and one of these points into point-slope form, then simplify to get it in slope-intercept form.

\sf~m=(y_2-y_1)/(x_2-x_1)

(3, 2), (0, -5)
x1 y1 x2  y2

Plug in what we know:

\sf~m=(-5-2)/(0-3)

Subtract:

\sf~m=(-7)/(-3)

\sf~m=(7)/(3)

Plug this into point-slope form along with any point.

\sf~y-y_1=m(x-x_1)

\sf~y-2=(7)/(3)(x-3)

Distribute 7/3 into the parenthesis:

\sf~y-2=(7)/(3)x-7

Add 2 to both sides:

\sf~y=(7)/(3)x-5

x-5y-5=0

Add 5 to both sides:

\sf~x-5y=5

Subtract 'x' to both sides:

-5y=-x+5

Divide -5 to both sides:

\sf~y=(1)/(5)x-1

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E. A semicircular window with a radius of36 inches allows light through an area of how

many square feet? You may use a calculator

if one is available. Round your answer to the

nearest square foot.

Answers

Answer:

14 sq. ft (14 ft^(2))

Step-by-step explanation:

First, we know that the area of a circle is \n A_(circle) =\pi * r^(2), where r is the radius of the circle, and \pi is the ratio of the length of a circle's circumference to its diameter, that is, \pi=3.1415926535 ... . But we have here a semicircle.

So, the area of a semicircle is \n A_(semicircle) = (1)/(2) (\pi * r^(2)).

We also know that 1 feet = 12 inches, so 36 inches are:

\n (1ft)/(12inches) * 36 inches = 3 ft

Then, the area of the semicircular window is:

\n A_(semicircular-window) = (1)/(2) (\pi * 3^(2)) ≈ 14.1372.

Well, rounding the answer to the nearest square foot, we have that the semicircular window allows light through an area of 14 sq. ft (14 ft^(2)).

31 divided by 3 equals what

Answers

31 divided by 3 is 10.33 repeated 
3/31 = 10.3 repeating
3 goes into 3= 1

The rule is applied to ΔFGH to produce ΔF"G"H".What are the coordinates of vertex F" of ΔF"G"H"?

(4, –1.5)
(4, –0.5)
(–1.5, 4)
(–0.5, 4)

ITS TIMED. I REALLY NEED HELP!!!

Answers

Answer:

(4, –1.5)

Step-by-step explanation:

Factor x 4 y2 + x3y3

Answers

So I can’t really write here so here’s a picture of the answer.

A plumber uses 16 inches of tubing to connect each washing machine in a laundry to the water source. He wants to install 18 washing machines. How many yards if tubing will, he need

Answers

The total yards of tubing the plumber will use is given by A = 8 yards

What is unit conversion?

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the total yards of tubing the plumber will use be A

Now , the equation is

Let the total inches of tubing used for each washing machine = 16 inches

And , from the unit conversion ,

16 inches = ( 16/36 ) yards

So , the number of washing machines = 18 machines

Now , the total yards of tubing the plumber will use A = number of washing machines x 0.444

On simplifying , we get

The total yards of tubing the plumber will use A = ( 16 / 36 ) x 18

The total yards of tubing the plumber will use A = 8 yards

Hence , the total yards is A = 8 yards

To learn more about unit conversion click :

brainly.com/question/19420601

#SPJ3
You would multiply 18 machines x 16" for a total of 288 inches. You would then divide by 36 because there are 36" (or 3 feet) in a yard. The answer is 8 yards of tubing.  

What is 678 divided by 5 with remander?

Answers

678/5 = 135 

135 is the whole number, now we need to find the remainder.

135*5 = 675

678 - 675 = 3

Our remainder is 3. 

Answer:   135 with a remainder of 3. 
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