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Tcecarenko [31]
3 years ago
12

The rectangle below has an area of x^2-7x+10x square meters and a width of x-5x meters. What expression represents the length of

the rectangle?
Mathematics
1 answer:
sergey [27]3 years ago
8 0

Answer:

The area of a rectangle is:

\sf A=lw

Plug in what we know:

\sf x^2-7x+10=l(x-5)

Factor the left side:

\sf (x-2)(x-5)=l(x-5)

Divide (x - 5) to both sides:

\sf l=\boxed{\sf x-2}

So the length is x - 2 meters.

Step-by-step explanation:

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AlexFokin [52]

Answer:

2(x+1)²-3

Step-by-step explanation:

Using the vertex formula we can write the follwoing equation

y=a(x+1)²-3

We need to solve for a

we know that when x= 2 y = 15

So we can write

15=a(2+1)²-3

15=9a-3

18=9a

a=2

Which means our final equation is

2(x+1)²-3

in standard form (just in case)

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Which points are on a graph where y varies directly with x and y = 3 when x = -3
kondor19780726 [428]

A coordinate system is a method of determining the position of points or other geometric components on a manifold. The points which vary are on a graph where y varies directly with x are (-1, 1), (0, 0), and (-5, 5).

<h3>What are coordinates?</h3>

A coordinate system is a method of determining the position of points or other geometric components on a manifold, such as Euclidean space, by using one or more integers, or coordinates.

Given that y varies directly with x, therefore, we can write,

y∝x

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Also, y=3 and x=-3, therefore, the value of k can be written as,

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Now, the points which vary are on a graph where y varies directly with x are (-1, 1), (0, 0), and (-5, 5).

Learn more about Coordinates:

brainly.com/question/23450276

#SPJ1

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