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pentagon [3]
3 years ago
8

Slope: what is the slope?

Mathematics
1 answer:
Len [333]3 years ago
3 0

Answer: -2

Step-by-step explanation:

So basically I located the y-intercept first. Where is that? At the point (0,-2). Now from there, I found the nearest point on an intersecting grid line, in this case it would be (-1,0). So from the y-intercept, I looked at how many spaces I would have to move to get to (-1,0). You would have to go up 2 spaces and to the left 1 space. This is also written as 2/-1. Simplify this and you get -2! Hope this helped!

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Answer:

Step-by-step explanation:

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3 years ago
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 − x 2 . What are the dimensions
kherson [118]

Answer:

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?

Width =

Height =

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Step-by-step explanation:

Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)

are (h,k) and (-h,k).

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Therefore, A = h²k ..... (2).

Now, from equation (1) we can write k = 5 - h² ....... (3)

So, from equation (2), we can write

A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}

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⇒ h = ±\frac{\sqrt{10} }{2}

Therefore, from equation (3), k = 5 - h²

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Hence,

Width = 2h =√10 and

Height = k =\frac{10}{4}.

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