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ArbitrLikvidat [17]

3 years ago

12

Write the prime factorization of 15. Use exponents when appropriate and order the factors from least to greatest (for example, 2

235).

1 answer:

Marianna [84]3 years ago

4 0

Answer:

3 * 5

Step-by-step explanation:

As there are no repeated primes, no exponents are necessary.

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The first term in a sequence is 5. Each new term in the sequence is obtained by adding 4 to the previous term. Determine an equi

ycow [4]

Answer:

4x+1

Step-by-step explanation:

3 0

3 years ago

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

SashulF [63]

<u>ANSWER</u>

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

<u>EXPLANATION</u>

The Cartesian equation is

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

We substitute

$x = r \cos( \theta)$

$y = r \sin( \theta)$

and

${x}^{2} + {y}^{2} = {r}^{2}$

This implies that

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

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

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

Apply the double angle identity

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

The polar equation then becomes:

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

7 0

3 years ago

What is the domain and range and function ??? Then can u explain how u did it please and thank you

enot [183]

The domain is
$- 10 \leqslant x \leqslant 10$
and the range is
$- 5 \leqslant y \leqslant 5$
Domain is x values (horizontal axis), while range is y values (vertical axis). On a line like this one, domain is calculated from the left most point to the right most, while range is calculated from the down most to the upmost.
Because this line is a solid line rather than a dotted line, less than or equal to
$\leqslant$
signs are used rather than just
$<$
less than signs.

6 0

3 years ago

Need help don’t understand

seraphim [82]

1. 2x and 6y Because
$y = 2x + 6$

4 0

3 years ago

Which figure shows the correct dimensions of 2/5 scale drawing of the given figure?

kap26 [50]

Answer:

A=40

Step-by-step explanation:

If A=100 and we need 2/5 the scale then all we do is divide 100 by five and multiply it by two giving us 40

8 0

3 years ago