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4 years ago

Divide z4 by z-3A. z1B. z7C. z-12D. z12E. z-7

Mathematics

1 answer:

lakkis [162]4 years ago

5 0

If you mean z to the powers given the answer will be B

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Here's the question, please help!

nata0808 [166]

Answer:

None of these

Step-by-step explanation:

To convert the parametric curve into Cartesian form,
rewrite the equation for $x$ to make $\sin t$ the subject:

$x=2\sin t$

$\implies \sin t=\dfrac{x}{2}$

Substitute this into the given equation for $y$ :

$\begin{aligned}y & =3 \sin t\\\implies y & = 3 \left(\dfrac{x}{2}\right)\\y& = \dfrac{3}{2}x\end{aligned}$

Therefore, the Cartesian form of the parametric curve is:

$y=\dfrac{3}{2}x$

<u>Further Information</u>

<u />

$\dfrac{x^2}{2}+\dfrac{y^2}{3}=1 \quad \textsf{is the equation of a vertical ellipse}$

$\textsf{with center (0, 0), co-vertex }\sf \sqrt{2}, \textsf{ and vertex }\sqrt{3}$

$x^2+y^2=6 \quad \textsf{is the equation of a circle}$

$\textsf{with center (0, 0) and radius }\sf \sqrt{6}$

$3x^2+2y^2=1 \quad \textsf{is the equation of a vertical ellipse}$

$\textsf{with center (0, 0), co-vertex }\sf \dfrac{\sqrt{3}}{3}, \textsf{ and vertex }\dfrac{\sqrt{2}}{2}$

6 0

2 years ago

Read 2 more answers

A circle has a circumference of 3.14 units what is the diametet

Alecsey [184]

Answer:

1 unit

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

Using pi as 3.14

3.14 = 3.14 d

Divide each side by 3.14

1 = d

6 0

3 years ago

Read 2 more answers

Leno4ka [110]

The system r+l = 46 and 15r + 9l = 396 can be used to determine the number of raspberries boxes and lemon seed boxes sold.

Step-by-step explanation:

Given,

Cost per box of raspberry = $15

Cost per box of lemon seeds = $9

Total boxes sold = 46

Total revenue generated = $396

Let,

r represent the number of raspberries sold

l represent the number of lemon seeds sold

According to given statement;

r+l = 46 Eqn 1

15r + 9l = 396 Eqn 2

The system r+l = 46 and 15r + 9l = 396 can be used to determine the number of raspberries boxes and lemon seed boxes sold.

7 0

3 years ago

HELPP

Aliun [14]

Answer:

1 and 4

2 and 3

5 0

3 years ago

Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t)= -16

tangare [24]

Answer:

(d)

Step-by-step explanation:

Given

$h(t) = -16t^2 + 96t$

Required

The intercepts

The x intercepts are where the graph crosses x axis.

From the attached plot, they are:

$x = (0,0)$ and $x = (6,0)$

These represent the start and end of the ball that is launched.

Hence, (d) is true

5 0

3 years ago