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3 years ago

What is sin45 degrees divided by 20

2 answers:

8 0

$\frac{sin(45)}{20}$

$\frac{ \sqrt{12} }{ \frac{2}{20} }$

$\frac{ \sqrt{2} }{40}$

$\sqrt{2}$ =1.41
1.41/20=0.0705
The answer is 0.0705

geniusboy [140]3 years ago

5 0

It is 0.039259815759069 ^^ I tested it on Desmos Scientific Calculator and My own Texas Instruments Calculator! So the answer is correct!

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The correct vertex form of the given equation is given by

Option C: $h(x) = (x-5)^2 - 18$

<h3>What is vertex form of a quadratic equation?</h3>

If a quadratic equation is written in the form

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

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

This point is called the vertex of the parabola that quadratic equation represents.

<h3>How to convert the given equation to vertex form?</h3>

We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.

The given equation is $h(x) = 7 + 10x + x^2\\$

Converting it in vertex form, we get:

$h(x) = 7 + 10x + x^2\\\\\\h(x) = x^2 + 10x + 7\\h(x) = x^2 + 10x + 25 -25 + 7\\h(x) = (x+5)^2 - 18 \text{\: (Note how the form} \: a^2 + b^2 + 2ab = (a+b)^2 \:\rm got\: made)$

Thus, we have h = -5 and k = -18

The plot of the given equation is attached below.

Thus,

The correct vertex form of the given equation is given by

Option C: $h(x) = (x-5)^2 - 18$

Learn more about vertex form of quadratic equations here:
brainly.com/question/9912128

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