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laila [671]
3 years ago
13

The length of a rectangle is twice its width. If the area of the rectangle is 5 , find its perimeter

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

9.48

Step-by-step explanation:

The perimeter of a rectangle is the distance around the the shape. It can be found by adding each side of the shape to find a total. In contrast, the area of a shape is the amount inside a shape. It is found using multiplication or A = l*w. Since the width is w and the length is twice its width or 2w, use these expressions in the area formula to find their amount. Then add them together to find the perimeter.

A = l*w5 = w(2w)\\5 = 2w^2\\2.5 = w^2\\1.58 = w

The width of the rectangle is w = 1.58. The length is 2w = 2 (1.58) = 3.16.

Add these amounts by P = l + l + w + w to find the perimeter.

P = 3.16 + 3.16 + 1.58 + 1.58 = 9.48

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What is the solution to the system of equations represented by the two equations?
Iteru [2.4K]
If you would like to solve the following system of equations, you can do this like this:

y = - 2 * x + 7
y = 1/3 * x
____________
1/3 * x = - 2 * x + 7
1/3 * x + 2 * x = 7
1/3 * x + 6/3 * x = 7
7/3 * x = 7      /*3/7
x = 7 * 3 / 7
x = 3

y = 1/3 * x = 1/3 * 3 = 1

The correct result would be: x = 3 and y = 1.
5 0
3 years ago
Read 2 more answers
Lines a and b are perpendicular. Which statements below must be true? Select all that apply. The slopes of lines a and b are rec
Semenov [28]

Answer:

When the slopes of lines a and b are multiplied, the product is −1.

Line a and line b intersect to form four right angles.

Step-by-step explanation:

Given

Perpendicular lines a and b

Required

Select the true statements

Represent the slope of line a with m_1 and the slope of b with m_2.

The condition for perpendicularity is:

m_1 * m_2 = -1

Solving further:

m_1 = -\frac{1}{m_2}

To solve further, we need to analyze each of the given options

(a) This is not true because the slope of perpendicular lines are not reciprocal

(b) This is also not true because perpendicular lines do not necessarily have to intersect at their midpoints

(c) This is true because of the condition stated above: m_1 * m_2 = -1

(d) This is also true because perpendicular lines form right angles when they intersect

(e) This is not true because of the condition stated above: m_1 = -\frac{1}{m_2}

(f) This is not true because of the condition stated above: m_1 = -\frac{1}{m_2}

5 0
2 years ago
Given the diameter of a circle is 17 1/2cm, find its area (use π = 22/7)​
vladimir2022 [97]

Answer:

240.625 is full value. you can use sigfigs if you need.

Area is (pi)(r)^2 so (22/7)(8.75)^2

half diameter is radius

6 0
2 years ago
1/3 = /6<br> - 1/6 = /6<br><br> How do you find the unlike denominator. Can you explain
lakkis [162]

Answer:

Okay So I see you need to change 1/3 to a denominator of 6

You don't do anything to the -1/6

But to change the 1/3 you need to multiply 3 and 1 by two, which is 2/6

And the -1/6 stays the same  

5 0
3 years ago
Evaluate the function f(x) =-x/2 -7x -2 find f(-9)
NeX [460]

Answer:

f(-9)=\frac{131}{2}

Step-by-step explanation:

In order to evaluate a function at a given x-value, plug in that value into the actual function

f(x)=-\frac{x}{2} -7x-2\\\\f(-9)=-\frac{9}{2} -7(-9)-2\\\\f(-9) = \frac{131}{2}

3 0
2 years ago
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