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Pavlova-9 [17]
3 years ago
15

The equation 2x square + 2y squareminus 8x -12y+16=0​

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
8 0

Answer:

(x-2)^2+(y+3)^2=21 ???

Step-by-step explanation:

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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
3 years ago
There are 110 calories per 28.4 grams of Cereal X. Find how many calories are in 39.76 grams of Cereal X
malfutka [58]

Answer:

I will help u if u help me

Step-by-step explanation:

2. Find the area of the parallelogram.

A.38cm

B.60cm

C.70cm

D.186cm

3 0
3 years ago
Read 2 more answers
This is a sketch of the curve with equation y = f(x).
Katen [24]

Answer:

We have to use the formule to calculate the vertex which is: V(-b/2a;4ac-b^2/4a)

A) y=x+7 where a=1 b=0 and c=7

By replacing we have: V(0;28/4) V(0;7)

B) y=-x where a=-1 b and c=0 so V(0,0)

6 0
3 years ago
A baseball player hits a pitched ball when it is 4 ft above the ground. The initial upward velocity is 80 ft/s. How
iren [92.7K]

Answer:

t=+4.06

Step-by-step explanation:

when the baseball hits the ground, the height will be 0.

h=0we are given that h=−16t2+64t+4.

this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.

since time cannot be negative, only the positive value can be taken.

this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.

7 0
2 years ago
Does anyone know this answer??
Aleonysh [2.5K]

For this case we have the following equation:

(2x + 3) ^ 2 + 8 (2x + 3) + 11 = 0

Let u = 2x + 3

We have:

u ^ 2 + 8u + 11 = 0

By definition, given an equation of the form ax ^ 2 + bx + c = 0

The quadratic formula, to find the solution can be written as:

x = \frac{-b+/-\sqrt{b ^ 2-4 (a) (c)} }{2(a)}

In this case we have:

a = 1\\b = 8\\c = 11

Substituting in the quadratic formula we have:

See attached image

Answer:

Option B

8 0
3 years ago
Read 2 more answers
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