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Reika [66]
4 years ago
11

How do I find the answer to these questions

Mathematics
2 answers:
Katen [24]4 years ago
7 0

Answer: y=2x+8

Step-by-step explanation:

First let's understand what some variables mean.

x is your x value.

y is your y value.

Let's say you have two coordinate points. (1,2) and (9,8)

If the equation had x1, that means you would look at your first coordinate point, (that's what the 1 stands for ;)) and the x value of the coordinate. So in this example, x1 would be 1.

The applies to x2, y1, and y2 as well.

m is typically your slope.

b is your slope intercept.

To find the answers to these equations, you can apply the slope formula which is (y2-y1)/(x2-x1). Then, you would plug the slope as well as a coordinate point into point-slope form, y-y1=m(x-x1). And then convert the point-slope form into slope-intercept form, which is y=mx+b.

This might seem confusing, but after some practice you'll understand.

Let's look at the first problem. Let's use the first two points, (x and y pairs.)

We have (2,12) and (4,16). We can use the slope formula, and substitute in our points. (16-12)/(4-2)=4/2=2 Our slope is 2.

Now we can substitute the slope, and any point of our choice into point slope form.

y-12=2(x-2)

y-12=2x-4

y=2x+8

Edit: Just to clarify, because the slope intercept form is y=mx+b, and b stands for the y-intercept, your y-intercept would be 8.

Hope this helps!

dalvyx [7]4 years ago
3 0

Answer:

Step-by-step explanation: sorry, I’m not in this math yet.

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Can someone help me plseawe
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18 meters by 14 meters

Step-by-step explanation:

18 meters by 14 meters

Area of rectangle is base times height (AKA length times width or however you wish to call the dimensions).

This question is a system of equations question. We can make two equations. We know that every rectangle must have 2 "lengths" and 2 "widths" (4 sides in a rectangle). Since Maria only has 64 meters of fencing, we get the equation:

2L+2W = 64

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Rewriting the second equation we get:

Plug this into first equation to get:

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A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is
katovenus [111]

Answer:

The constant of variation is 4032

Step-by-step explanation:

Given:  

Let a rectangle (say A) has length of rectangle(l)= 72 cm and width of rectangle(w) = 56 cm.

Area of rectangle is multiply its length by its width.

Then,

area of rectangle (A) =l \times w = 72 \times 56 = 4,032 square cm.

It is given that the other rectangle B has the same area as the rectangle A.

Then, the area of rectangle (B) = area of rectangle (A) = 4,032 square cm.  .......[1]

First find the length of rectangle B:

Given: width of the rectangle B is 21 cm

then, by definition

Area of rectangle B = l \times w = l \times 21

From [1];

4032 = l \times 21

Divide 21 both sides we get;

l =\frac{4032}{21} = 192 cm

therefore, the length of rectangle B is 192 cm

To find the constant variation:

if y varies inversely as x

i.e, y \propto \frac{1}{x}

⇒ y = \frac{k}{x} where k is the constant variation.

or k = xy

As area of rectangle is multiply its length by width.

This is the inversely variation.

as: l \propto \frac{1}{w}

or l = \frac{A}{w} where A is the constant of variation

Since, the area (A) of both the rectangles are constant.

therefore, the constant of variation is, 4032


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