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arsen [322]
3 years ago
10

A rectangle has an area of 45x2 − 42x − 48 and a width of 5x − 8. What is the length of the rectangle? To find the length of the

rectangle, use 45x2 − 42x − 48 as the
Mathematics
2 answers:
hichkok12 [17]3 years ago
8 0

Answer:

The length of the rectangle is given as:

(9x + 6)

Step-by-step explanation:

The area of a rectangle is given as:

Length × Width

Area of the rectangle = 45x² − 42x − 48

Width = 5x - 8

We solve for the length of the rectangle by factorising the area of the rectangle

45x² − 42x − 48

45x² - 72x + 30x - 48

(45x² - 72x )+ (30x - 48)

9x(5x - 8) + 6(5x - 8)

(5x - 8)(9x + 6)

Therefore:

The length of the rectangle is given as:

(9x + 6)

maks197457 [2]3 years ago
7 0

Answer:

To find the length of the rectangle, use 45x2 − 42x − 48 as the  

✔ dividend

and 5x − 8 as the  

✔ divisor  

Step-by-step explanation:

edg2020

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brilliants [131]

Answer:

He walks 1030 meters if he walks across the park.

Step-by-step explanation:

In order to solve this question we will need to know that c^{2} = a^{2} + b^{2} (were c is the length of the hypotenuse (the diagonal line) of a right angle triangle, and a and b are the legs (the sides that form a right angle). So them means that.....

Let "c" be the distance he will need to walk if he was going to go through the park

Let "a" be the distance he walks on King Street

Let "b " be the distance he walks on Queen Street, then.....

c^{2} = a^{2} + b^{2}

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(Now plug in the values of a and b and get.....)

c = \sqrt{500^{2} + 900^{2}  }

c = \sqrt{1060000 }

c = 1029.563014............

So I would assume that you have to round to the nearest meter. And as a result we get 1030 meter.

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3 years ago
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Bezzdna [24]

Step-by-step explanation:

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Write an equation for the line that passes through the points (0,-6) and (-3,0)
lisov135 [29]

Answer:

Then the desired equation is y = -2x - 6.

Step-by-step explanation:

As we move from point (-3, 0) to point (0, -6), x increases by 3 and y decreases by 6.  Thus, the slope of the line segment connecting these two points is m = rise / run = -6/3 = -2.

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Answer:

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Step-by-step explanation:

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Classify each of the following attributes as either categorical or numerical. For those that are numerical, determine whether th
V125BC [204]

Answer:

a) numerical discrete, b) categorical, c) numerical continuous, d) numerical continuous, e) categorical

Step-by-step explanation:

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When the variable can be measured, it is a numerical variable. If the variable can be measured on a continuous scale, like “c” and “d” statement, then it is a continuous numerical variable. You can find any value on the scale. For example, the amount of fluid could be 250 ml, 250.1 ml, 249.5 ml.

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4 0
3 years ago
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