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3 years ago

Write the equation using polar coordinates y^2=16x

1 answer:

8 0

r²sin²θ = 16rcosθ 

rsin²θ = 16cosθ 

r = 16cosθ / sin²θ 

r = 16cotθcscθ

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The value of Maggie's car decreased by 20% since last year, when she bought it. If the car is now worth $20,000.00, how much was

Stella [2.4K]

20,000 = 80% of the original price so 20,000 divided by 80 = 250 then multiply that by 100 equals 250000 which is the original price

hope this helps !

8 0

3 years ago

Find the first term and the common ratio third term =6 and seventh term= 96

mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: $a_n= a_1r^{n-1}$

We are given: third term = 6 i,e

$a_3=a_1r(3-1)\\6=a_1r^2----eq(1)$

Seventh term = 96

$a_7=a_1r(7-1)\\96=a_1r^6----eq(2)$

Dividing eq(2) and eq(3)

$\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}$

So, Common Ratio r = 2

Finding First term using eq(1)

$a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}$

So, First term a₁ = 3/2 and common ratio r = 2

6 0

3 years ago

The flight attendants at Come Fly with Me Airlines are all getting a 3% raise. One attendant's

mixer [17]

Answer:

46,350

Step-by-step explanation:

3% of 45,000 is 1,350

So, 45,000 + 1350 = 46,350

7 0

3 years ago

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What transformation was not done to the linear parent function, f(x) = x, to

Butoxors [25]

Answer:

Step-by-step explanation:

The function shifted left five units instead of right five units.

There's no vertical compression in the equation provided, but that's probably just a typo since there's a random bracket that I assume was supposed to be a fraction.

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2 years ago

What is the solution of the equation 6x - 4 = 2(3x - 2). Explain your steps.

Vikki [24]

Answer: x= 4/3 but in decimal form =1.333

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4-(2*(3*x-2))=0

4 - 2 • (3x - 2) = 0

Pull out like factors :

8 - 6x = -2 • (3x - 4)

Solve : 3x-4 = 0

Add 4 to both sides of the equation :

3x = 4

Divide both sides of the equation by 3:

x = 4/3 = 1.333

7 0

3 years ago

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