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Gala2k [10]
3 years ago
14

A square of side x is cut out of a larger square of side y. What is the area of the remaining

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:

The area of the remaining figure is y^2-x^2

Step-by-step explanation:

<u>Area of the Square Shape</u>

Given a square of side length x, the area is calculated by the formula:

A_x=x^2

It's given a square of side x is cut out of a larger square of side y. Please refer to the image below.

The area of the square of side length y is:

A_y=y^2

The shaded area of the remaining figure is the difference between both areas:

A=A_y-A_x

A=y^2-x^2

The area of the remaining figure is \mathbf{y^2-x^2}

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If h(x) = -3x – 10, find h(-3).<br> 0-19<br> On1<br> 01<br> 23
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The distillation of raw data into useful information is known as ______. a. generalization b. data analysis c. data content d. e
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Answer:

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X/2 = Y/3 = Z/4. prove that :2X-Y+5Z / 3Y-X =3. note :: (/) is for a fraction aka divide. help pls I've been stuck on it for a f
sweet-ann [11.9K]

The given equation

x/2 = y/3 = z/4

can be broken into three separate equations which I'll call equations (A), (B) and (C)

  • x/2 = y/3 ..... equation (A)
  • y/3 = z/4 .... equation (B)
  • x/2 = z/4 .... equation (C)

We'll start off solving for z in equation (C)

x/2 = z/4

4x = 2z ... cross multiply

2z = 4x

z = 4x/2 ... divide both sides by 2

z = 2x

Now let's solve for y in equation (A)

x/2 = y/3

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y = 3x/2

y = (3/2)x

y = 1.5x

The results of z = 2x and y = 1.5x both have the right hand sides in terms of x. This will allow us to replace the variables y and z with something in terms of x, which means we'll have some overall expression with x only. The idea is that expression should simplify to 3 if we played our cards right.

We won't be using equation (B) at all.

---------------------

The key takeaway from the last section is that

  • z = 2x
  • y = 1.5x

Let's plug those items into the expression (2x-y+5z)/(3y-x) to get the following:

(2x-y+5z)/(3y-x)

(2x-y+5(2x))/(3y-x) ..... plug in z = 2x

(2x-y+10x)/(3y-x)

(12x-y)/(3y-x)

(12x-1.5x)/(3(1.5x)-x) .... plug in y = 1.5x

(12x-1.5x)/(4.5x-x)

(10.5x)/(3.5x)

(10.5)/(3.5)

3

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