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2 years ago

What is the equation of the axis of symmetry of a parabola if its x-intercepts are –3 and 5?

Mathematics

1 answer:

melisa1 [442]2 years ago

6 0

Answer:

x = 1

Step-by-step explanation:

The axis of symmetry is a vertical line and is located at the midpoint of the x- intercepts, thus

x = $\frac{-3+5}{2}$ = $\frac{2}{2}$ = 1

That is equation of symmetry is x = 1

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Verify the identity 6cos^2(x) -3 = 3 - 6sin^2(x)

Lorico [155]

Answer:

It is proved that $6\cos ^{2}x -3 = 3 - 6\sin ^{2} x$ .

Step-by-step explanation:

We already have the identity of x as $\sin ^{2}x + \cos ^{2}x = 1$ .......... (1) .

So, from equation (1) we can write that

$\cos ^{2} x = 1 - \sin ^{2} x$

⇒ $6\cos ^{2} x = 6 - 6 \sin ^{2} x$

⇒ $6\cos ^{2} x -3 = 6 - 6 \sin ^{2}x -3$

⇒ $6\cos ^{2}x -3 = 3 - 6\sin ^{2} x$

Hence, it is proved that $6\cos ^{2}x -3 = 3 - 6\sin ^{2} x$ . (Answer)

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Answer:

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Step-by-step explanation:

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Which is the measure of the reference angle for 227 degrees ?

Levart [38]

Answer:

C. 47°

Step-by-step explanation:

The angle between the terminal ray of 227° and the nearest x-axis (the negative x-axis) is ...

227° -180° = 47°

The reference angle is 47°.

_____

In mathematical terms the reference angle is the minimum of the angle modulo 180° and the supplement of that angle.

227° modulo 180° = 47°

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