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mixas84 [53]
3 years ago
10

1. A cab driver charges a flat rate of $7 for the first mile driven and $2 for every mile after that. If the

Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0

Answer:

The number of miles driven after

Step-by-step explanation:

is how much they charge flat out

2 dollars for each mile after the first

x-1 tells you how many miles they have driven after the first

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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

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The large sphere has a diameter of 12. What is the volume of the shaded figure. Express the answer in terms of 3.14
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113.04 is the volume
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Given h(x) = x^2-4/2, find h(-8)
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Step-by-step explanation:

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Cory predicts it will take him 64 minutes to travel to Baltimore from Washington D.C. If the trip actually took 74 minutes, what
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Answer:13.5



Step-by-step explanation:

the answer is 13.5


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