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timofeeve [1]
2 years ago
5

2.) x/2 = 1 Solving equations.

Mathematics
2 answers:
Aneli [31]2 years ago
5 0

Answer: x=2

Step-by-step explanation:

To find the value of x, we have \frac{x}{2} =1. To isolate x, we want to multiply both sides by 2 to get x alone.

x=2

Elodia [21]2 years ago
4 0

Answer:

2

Step-by-step explanation:

\frac{x}{2}  = 1 \\ cross \: multiplying \\ x = 2 \times 1 = 2 \\ x = 2

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What is the perimeter in square units of the rectangle shown on the coordinate grid?
Rashid [163]

In order to find the Perimeter of the Rectangle, First we need to find the Length and Width of the Rectangle.

Distance between two points (x₁ , y₁) and (x₂ , y₂) is given by :

\bigstar\;\; \mathsf{Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}

There are two lengths in a rectangle. Let us find any one length of the rectangle.

I'm considering the length with co-ordinates (-8 , 2) and (-2 , 10)

Here :  x₁ = -8 and x₂ = -2 and y₁ = 2 and y₂ = 10

Substituting the values in the distance formula, We get :

\mathsf{\implies Length = \sqrt{[-2 - (-8)]^2 + [10 - 2]^2}}

\mathsf{\implies Length = \sqrt{[-2 + 8]^2 + [8]^2}}

\mathsf{\implies Length = \sqrt{[6]^2 + [8]^2}}

\mathsf{\implies Length = \sqrt{36 + 64}}

\mathsf{\implies Length = \sqrt{100}}

\mathsf{\implies Length = 10}

There are two widths in a rectangle. Let us find any one width of the rectangle.

I'm considering the width with co-ordinates (-2 , 10) and (2 , 7)

Here :  x₁ = -2 and x₂ = 2 and y₁ = 10 and y₂ = 7

Substituting the values in the distance formula, We get :

\mathsf{\implies Width = \sqrt{[2 - (-2)]^2 + [7 - 10]^2}}

\mathsf{\implies Width = \sqrt{[2 + 2]^2 + [-3]^2}}

\mathsf{\implies Width = \sqrt{[4]^2 + [-3]^2}}

\mathsf{\implies Width = \sqrt{16 + 9}}

\mathsf{\implies Width = \sqrt{25}}

\mathsf{\implies Width = 5}

Perimeter of a Rectangle is given by : 2[Length + Width]

:\implies  Perimeter of the given rectangle = 2[10 + 5]

:\implies  Perimeter of the given rectangle = 2[15]

:\implies  Perimeter of the given rectangle = 30

<u>Answer</u> : Perimeter of the given rectangle is 30 square units

4 0
3 years ago
Read 2 more answers
The number N of bacteria present in a culture at time t (in hours) obeys the equation N = 1000e^0.01t After how many hours will
jasenka [17]

Answer: N(t) = (2^t)*1500

Step-by-step explanation:

Let's define the hour "zero" as the initial population.

So if N(t)  is the number of bacteria after t hours, then:

N(0) = 1500.

Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1

N(1) = 2*1500 = 3000

after two hours, at t = 2.

N(2) = 2*(2*1500) = (2^2)*1500

After three hours, at t = 3

N(3) = 2*(2^2)*1500 = (2^3)*1500

So we already can see the pattern, the number of bacteria after t hours will be:

N(t) = (2^t)*1500

5 0
3 years ago
R = 3.7 m.<br> Calculate the circumference of the circle.
Ksivusya [100]

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3 years ago
Enrollment at a golf academy has grown exponentially since the academy opened. A graph depicting this growth is shown. Determine
yan [13]

Step-by-step explanation:

An exponential growth function can be written in the form y = abx where a > 0 and b > 1. The graph will curve upward, as shown in the example of f(x) = 2x below. Notice that as x approaches negative infinity, the numbers become increasingly small.

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3 years ago
The supermarket has 30 aisles. 10% of the aisles are empty, without any shoppers. ​How many empty aisles are there in the superm
lina2011 [118]
3

10/100=x/30
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Divide each side by 100

X=3
3 0
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