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3 years ago

Help me with this one pls

Mathematics

2 answers:

larisa [96]3 years ago

5 0

Answer:

C) $9x^2+24x+16$

Step-by-step explanation:

$\left(3x+4\right)^2$

Use Perfect Square Formula :

$\left(a+b\right)^2=a^2+2ab+b^2$

$\left(3x\right)^2+2\cdot \:3x\cdot \:4+4^2$

$9x^2+24x+16$

OAmalOHopeO

Effectus [21]3 years ago

4 0

Expand it, so you will get 9x^2 + 24x + 16

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3 years ago

Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

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ANSWER

${r}^{2} = 4 \cos2\theta$

EXPLANATION

The Cartesian equation is

${( {x}^{2} + {y}^{2} )}^{2} = 4( {x}^{2} - {y}^{2} )$

We substitute

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$y = r \sin( \theta)$

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This implies that

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Let us evaluate the exponents to get:

${r}^{4} = 4({ {r}^{2} \cos^{2}\theta } - {r}^{2} \sin^{2}\theta)$

Factor the RHS to get:

${r}^{4} = 4{r}^{2} ({ \cos^{2}\theta } - \sin^{2}\theta)$

Divide through by r²

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