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Yuri [45]
3 years ago
8

Which expression simplifies to 2x^2y√5x

Mathematics
1 answer:
frez [133]3 years ago
7 0

Answer:

c

Step-by-step explanation:

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6(z+9) I need help figuring this out
NNADVOKAT [17]
The answer should be 6z + 54 but I’m not completely positive.
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2 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 value of f(x)= 9^x when x=-2?<br> A) 1/8<br> B) 81<br> C) 1/18<br> D) 18
lions [1.4K]
Substitute -2 in for x and get (9)^-2
Flip the equation so that the exponent is positive and get 1/9^2
Work it out 1/(9*9) = 1/81

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That would be $1.50 per Gallon

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Jackson's motorcycle gets 35 km per liter he drives 525 km and gas is $1.38 per liter how much does the gas used for the trip co
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525 divide 35 = 1515 times 1.38= 20.70 dollars

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3 years ago
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