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2 years ago

The length of a rectangle is 4yd longer than its width. If the perimeter of the rectangle is 72yd, find its length and width.

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

5 0

Suppose the width is w

Then the length will be w+4

Perimeter will be 2 (length + width) = 2 (w + w + 4 ) = 60

Solve this for w. Knowing w you can find the length and width.

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The following equation describes a circle.

Simora [160]

Answer:

Center = (5, -2) and radius = √33

Step-by-step explanation:

The equation of a circle is given by the formula;

(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius of the circle.

In this case;

2x² - 20x + 2y² + 8y =40 ;

Dividing both sides of the equation by 2 we get;

x² - 10x + y² + 4y = 20

we can then use the completing the square on both x and y terms.

x² - 10x + y² + 4y = 20

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Therefore;

Center = (5, -2) and radius = √33

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3 years ago

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Answer:

Step-by-step explanation:

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Select the correct answer. What is the area of the triangle in the diagram? A. B. C. D. Reset Next Previous5 Next Using Coordina

Komok [63]

The area of the triangle can be calculated using the distance formula if the coordinates are given.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle with coordinates on the coordinate plane.

It is required to find the area of the triangle using the coordinate points.

Here the coordinates are not given, so we are assuming the coordinates are (x1, y1), (x2, y2), (0,0)

From the distance formula:

The distance(b) between (0, 0) and (x1, y1):

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The distance between (0, 0) and (x2, y2):

$\rm h = \sqrt{(x_2-0)^2+(y_2-0)^2} \Rightarrow \sqrt{x_2^2+y_2^2}$

So the area of the triangle:

A = bh/2

$\rm A = \dfrac{1}{2}\times \sqrt{x_1^2+y_1^2} \times \sqrt{x_2^2+y_2^2}$

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Thus, the area of the triangle can be calculated using the distance formula if the coordinates are given.

Learn more about the triangle here:

brainly.com/question/25813512

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1 year ago

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