What u isf(x)=x^2-10x+24?

1 answer:

3 0

F(x) = x² - 10x + 24
opens up because coefficient of x² is positive
crosses x-axis at x = 6 and x = 4
crosses y-axis at y = 24
vertex is a minimum at (5, -1)

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The equation of a circle is given below. x^{2}+(y-2.25)^{2} = \dfrac{196}{169}x 2 +(y−2.25) 2 = 169 196 x, squared, plus, left

Lostsunrise [7]

Center = $(h,k) = (0,2.25)$
Radius = $r = \frac{14}{13}$

<u>Step-by-step explanation:</u>

Here we have following equation : $x^{2}+(y-2.25)^{2} = \dfrac{196}{169}$

We need to find the center & radius of this circle . Let's find out:

We know that , Equation of a circle is given by :

⇒ $(x-h)^2+(y-k)^2=r^2$ ........(1)

Here , (h,k) are the co-ordinates of center & r is the radius of circle.Collectively called as a circle with radius r and center at (h,k) . Let's frame given equation in question :

⇒ $x^{2}+(y-2.25)^{2} = \frac{196}{169}$

⇒ $(x-0)^{2}+(y-2.25)^{2} = (\frac{14}{13})^2$

On comparing this equation with equation (1) we get :

Center = $(h,k) = (0,2.25)$
Radius = $r = \frac{14}{13}$

6 0

3 years ago

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Casey and Stephanie are planning a birthday party. They order a rectangular sheet cake that measures 24 inches by 18 inches. All

tigry1 [53]

Answer:

<h3>6 inches</h3>

Step-by-step explanation:

If Casey and Stephanie order a rectangular cake of dimension 24in by 18in, to get the side length of the largest piece of square, we will find the greatest common factor of both dimension as shown:

24 = 2 * 2 * (2 * 3)

24 = (2 * 3) * 4

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18 = (2*3)*3

18 = 6*3

From both factors you an see that the common GCF is 6. This shows that the length of the largest square pieces into which Casey and Stephanie can cut the cake is 6 inches.

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Nadusha1986 [10]

Answer:

Step-by-step explanation: