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3 years ago

A number is increased by five and squared.

Mathematics

1 answer:

vivado [14]3 years ago

8 0

Answer:

Let the number be x

It say it get increased by 5,

x + 5

Then squared,

(x+5)^2

x^2 + 25

hope it helps!

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Answer:

8400 yd^2

Step-by-step explanation:

600x 6 because its six times

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3 years ago

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Identify the vertex, roots, and equation of the function below.

spayn [35]

The equation of a parabola in vertex form, is:

$y=a(x-h)^2+k$

Where (h,k) are the coordinates of the vertex.

From the given graph, notice that the coordinates of the vertex are:

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The roots are the values of x where the graph crosses the x-axis. In this case, the graph crosses the x-axis at the points (4,0) and (6,0). Then, the roots are:

$\begin{gathered} x_1=4 \\ x_2=6_{}_{} \end{gathered}$

Substitute the values of the vertex into the equation of the parabola in vertex form:

$y=a(x-5)^2+6$

To find the value of a, substitute (x,y)=(4,0):

$\begin{gathered} 0=a(4-5)^2+6 \\ \Rightarrow0=a(-1)^2+6 \\ \Rightarrow0=a+6 \\ \Rightarrow-6=a \\ \Rightarrow a=-6 \end{gathered}$

Therefore, the equation of the parabola is:

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1 year ago

A parabola can be drawn given a focus of ( - 8,0) and a directrix of y= - 2 What can be said about the parabola?

Tcecarenko [31]

Answer:

The equation of the parabola is:

Explanation:

Please notice that we know that the parabola opens upward or downward, because the directrix is a horizontal line:

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Not

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Furthermore, we can see that it must open upward, because the y coordinate of the focus is above the directrix.

The vertex has the same x coordinate as the focus:

And its y coordinate is halfway between the focus and the directrix:

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Therefore the vertex is

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Use the vertex form of the equation of a parabola that opens upward or downward:

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where the vertex is the point

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Substitute the vertex into the equation:

(

−

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Simplify:

The distance, f, from the vertex to the focus is,

; this allows use to find the value of

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The equation of the parabola is:

Step-by-step explanation:

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