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3 years ago

What is x ? full explanation please

Mathematics

2 answers:

GarryVolchara [31]3 years ago

7 0

Answer:

Step-by-step explanation:

they both would be equal to each other.

5x-7 = 23

5x = 30. (add 7 to both sides)

x = 6. (divide 5 to both sides)

kogti [31]3 years ago

5 0

Answer:

x = 6

Step-by-step explanation:

Looking at the figure, we can say that it is a vertical angle.

5x - 7 = 23

5x - 7 + 7 = 23 + 7

5x = 30

5x / 5 = 30 / 5

x = 6

Since it is a vertical angle, the other side should be 23⁰. You can also plug in the x value to find if it gives you 23⁰ or not.

5x - 7

5(6) - 7

30 - 7

Therefore, x = 6. Hope this helps and stay safe, happy, and healthy, thank you :) !!

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SashulF [63]

ANSWER

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EXPLANATION

The Cartesian equation is

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We substitute

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This implies that

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

Let us evaluate the exponents to get:

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Factor the RHS to get:

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

Divide through by r²

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

Apply the double angle identity

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The polar equation then becomes:

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

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