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olya-2409 [2.1K]
3 years ago
9

Consider the parametric equations x = 4cos(t) – 3 and y = 5sin(t) + 2. What is the rectangular form?

Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0

Answer: C on edge

Step-by-step explanation:

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The given table and equation represent the cost for carnival rides.
lozanna [386]

Answer:

The ordered pairs that are presented are (7, 99.5) and (3, 51.5)

Step-by-step explanation:

We are given the cost function of the carnival rides as

c=15.5+12f

which is a typical linear expression of the form y=ax+b where here y=c, f=x,  a=12  and  b=15.5. To check if an ordered pair i.e. a point (x,y) , is represented by the table we can simply plug in the equivalent x value in the equation, and check if the result matches the y value.

So, lets assume that all points are given correctly and they are as follow:

A. (7, 99.5)\\B. (75.5, 5)\\C. (3, 51.5)\\D. (123.5, 9)

Now let us check each point with our function as follow:

<u>Point A</u>

(7,99.5)\\\\c=15.5+12(7)\\c=15.5+84\\c=99.5

So point A is part of the equation.

<u>Point B</u>

(75.5,5)\\c=15.5+12(75.5)\\c=15.5+906\\c=921.5

So point B is NOT part of the equation.

<u>Point C</u>

<u />(3,51.5)\\c=15.5+12(3)\\c=15.5+36\\c=51.5<u />

So point C is part of the equation.

<u>Point D</u>

<u />(123.5,9)\\c=15.5+12(123.5)\\c=15.5+1482\\c=1497.5<u />

So point D is NOT part of the equation.

8 0
4 years ago
Read 2 more answers
3 A buoy is 30 feet from the shore. You swim 3/5 the way to the buoy. How much farther do you have to swim to reach the buoy?​
disa [49]

Answer:

12 feet

Step-by-step explanation:

30 divided by 5= 6

6 times 3= how far youve already swam(18 feet)

6 times 2= how far you have left(12 feet)

8 0
3 years ago
What are the opposites of 7, -3.5 , 2.25, and 9 1/3
Ber [7]
The opposite of 7 is -7, the opposite of -3.5 is 3.5, the opposite of 2.25 is -2.25, and the opposite of 9 1/3 is -9 1/3
7 0
4 years ago
Select the term that is suggested by the figure. Then state whether the term is an undefined term or a defined term.
egoroff_w [7]

Answer:

The answer is point, and point is an undefined term

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Grace deposits $1000 in a mutual fund earning 9.25% annual interest, compounded monthly. Write an exponential function that mode
Serggg [28]

First, we calculate for the effective interest given the annual interest and the condition that it is compounded monthly.

<span>                                                Ieff = (1 + 0.0925/12)^12 – 1 = 0.09652</span>

The equation that would best represent the value of Grace’s money after x years is equal to,

<span>                                               An = ($1000)(1.09652)^x</span>

<span>Where x is the number of years</span>

5 0
3 years ago
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