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3 years ago

7

The formula for the area of a square can be written as A = s^2 and means “area equals side-squared”. Explain how the formula for

the area of a square can be derived from the formula for the area of a rectangle.

1 answer:

wolverine [178]3 years ago

5 0

If all the side of rectangle become equal. then its all property taken as square property even its area also
I hope it helps u

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A rectangle has the following vertices. Find the area of the rectangle. (9, −1), (−1, 7), (−5, 2), (5, −6)

stiks02 [169]

Answer: 82 sq. units .

Step-by-step explanation:

Let A (9, −1), B (−1, 7), C(−5, 2), D(5, −6) are the vertices of rectangle.

Then we plot them on graph ( as provided in attachment)

Length = AB $=\sqrt{(9+1)^2+(-1-7)^2}$ units [By distance formula : $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ ]

$=\sqrt{(10)^2+(-8)^2}=\sqrt{100+64}=\sqrt{164}=2\sqrt{41}$ units

Width = BC = $\sqrt{(-1+5)^2+(7-2)^2}$ units

$=\sqrt{4^2+5^2}\\\\=\sqrt{16+25}\\\\=\sqrt{41}$

Area = length x width

= $2\sqrt{41}\times\sqrt{41}=2\times41= 82\text{ sq. units}$

Hence, the area of the rectangle is 82 sq. units .

7 0

2 years ago

Suppose you Just purchased a used truck. The number of miles on the odometer can be represented by the equation y = x + 40, 000,

igor_vitrenko [27]

Answer: $f(x)= x+40000$

Step-by-step explanation:

We write a function f(x) which gives the values of the function that are dependent on the independent variable "x".

Given: The number of miles on the odometer can be represented by the equation y = x + 40, 000, where y is the number of miles on the odometer, and x is the number of miles you have driven it.

Here y is dependent on x, so we replace y by f(x), then we get

$f(x)= x+40000$ which is the required answer.

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2 years ago

What does the p in 5p4 mean?

const2013 [10]

This p called variable ..

5 0

2 years ago

The points (−4, −3) and (3, y) lie on the same line.

drek231 [11]

Answer:

y= 11

Step-by-step explanation:

$\boxed{slope = \frac{y _{1} - y_2 }{x_1 - x_2} }$

Substituting the coordinates and value of slope:

$\frac{y - ( - 3)}{3 - ( - 4)} = 2$

$\frac{y + 3}{3 + 4} = 2$

$\frac{y + 3}{7} = 2$

Multiply both sides by 7:

y +3= 2(7)

y +3= 14

Subtract 3 from both sides:

y= 14 -3

y= 11

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1 year ago

Michael borrowed $3,000 at 7% simple interest for two years. How much interest is owed at the end of the two years on this loan?

babunello [35]

Answer:

h

Step-by-step explanation:

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2 years ago