All categories

4 years ago

If the radius of a circle is 15 units and the center

Mathematics

1 answer:

Verdich [7]4 years ago

8 0

Answer:

C. (x+3)^2 + (y-2)^2 = 225

Step-by-step explanation:

The equation of the circle is (x-h)^2 + (y-k)^2 = r^2

h=-3, k=2 and r=15

(x-(-3))^2 + (y-2)^2 =15^2

(x+3)^2 + (y-2)^2 = 225

You might be interested in

Help with math homework

Anestetic [448]

1) 65+57= 122
180-122= 58

2) 40+90=130
180-130=50

3) 130+20=150
180-150=30

4) 85+50= 135
180-135=45

Sorry, IDK the rest. So so sorry.

8 0

4 years ago

What are the amplitude, period, and phase shift of the given function? f(t)=-1/2sin(3t-2pi)

Romashka [77]

Answer:

The $amplitude=|A|=\frac{1}{2}$ , $period=3$ and $\text{phase shift}=\frac{2\pi}{3}$ .

Step-by-step explanation:

The given function is

$f(t)=-\frac{1}{2}\sin (3t-2\pi)$ .... (1)

The general form of sine function is

$F(t)=A\sin (Bt-C)+D$ ....(2)

where, |A| is the amplitude, B is period, D is the vertical shift (up or down), and C/B is used to find the phase shift.

On comparing (1) and (2), we get

$A=-\frac{1}{2}$

$B=3$

$C=2\pi$

$D=0$

So,

$amplitude=|A|=\frac{1}{2}$

$period=3$

$\text{phase shift}=\frac{2\pi}{3}$

Therefore $amplitude=|A|=\frac{1}{2}$ , $period=3$ and $\text{phase shift}=\frac{2\pi}{3}$ .

8 0

4 years ago

What happens if you label the starting number x

tester [92]

You can use any letter but when you label it x you find x

3 0

3 years ago

A communications company is planning to launch a new satellite into orbit to improve the operation of its network. The longest d

sergiy2304 [10]

As far as I can tell, is just asking for the type, so that'd be a tangential line to the globe, or a tangent line, see picture below

3 0

3 years ago

The quadratic equation is

NemiM [27]

Answer:

(2,-9)

Step-by-step explanation:

Set the quadratic equal to zero.

$y = {x}^{2} - 4x - 5$

Factor

$(x - 5)(x + 1)$

Set each of these factors to zero

$x - 5 = 0$

and

$x + 1 = 0$

$x = 5$

and

$x = - 1$

Plot the midpoint of the two values.

$( \frac{5 + ( - 1)}{2} ) = 2$

So the middle term is 2 and the other terms are 5 and -1.

Now the vertex is

$2 {}^{2} - 4(2) - 5 = - 9$

So the vertex is

(2,-9)

8 0

3 years ago