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2 years ago

What does 9 minus x squared equals?

Mathematics

1 answer:

natta225 [31]2 years ago

3 0

9 - x^2
= 3^2 - x^2
= (3+x)(3-x)

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Evaluate. y2 + 2y + 5 for y = -5

OleMash [197]

Answer:

Step-by-step explanation:

Evaluate for y= −5

(−5)2+(2)(−5)+5

=20

3 0

2 years ago

Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

<em><u>Solution:</u></em>

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

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

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

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

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

2 years ago

In the circle above, FH and GJ are chords which intersect at point K. If FK = 3 mm, HK = 4 mm, and GK = 2 mm, what is the length

Svetach [21]

We have a formula for that( according to the Intersecting chords theorem)
$fk \times hk = gk \times jk$
3×4=2×jk
6=jk

6 0

2 years ago

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joja [24]

Answer:

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Step-by-step explanation:

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2 years ago

Can somebody help me?

pashok25 [27]

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2 years ago