Answer: 4
Step-by-step explanation:
2 + 2 = 4
In some cases, it also equals fish.
Answer:
1. 12cm.
2. 10cm.
3. 18cm.
4. 16cm.
5. 3cm. (or -3 if your question was negative.)
6. 36cm.
7. 8cm.
Explanation:
<em><u>To find the radius of a circle, simply divide the diameter by 2. </u></em>
With this being said we can just add on top of the given radius.
Example:
The given radius is 5cm. What is 5cm + 5cm? 10cm.
Thus, getting our answer.
Answer:
The curve is a circle of radius 9 centered at the point (0,9) and the equation is ![x^2+(y-9)^2 = 81](https://tex.z-dn.net/?f=x%5E2%2B%28y-9%29%5E2%20%3D%2081)
Step-by-step explanation:
Proceed as follows:
![r\cos(\theta) = 9 \sin(2\theta)](https://tex.z-dn.net/?f=%20r%5Ccos%28%5Ctheta%29%20%3D%209%20%5Csin%282%5Ctheta%29)
Take
. Then
![r\cos(\theta) = 9 \sin(2\theta)= 18 \sin(\theta) \cos(\theta)](https://tex.z-dn.net/?f=%20r%5Ccos%28%5Ctheta%29%20%3D%209%20%5Csin%282%5Ctheta%29%3D%2018%20%5Csin%28%5Ctheta%29%20%5Ccos%28%5Ctheta%29)
Multiply both side by
. Then
![r^2\cdot r\cos(\theta) = 18 \cdot r\sin(\theta) \cdot r\cos(\theta)](https://tex.z-dn.net/?f=%20r%5E2%5Ccdot%20r%5Ccos%28%5Ctheta%29%20%3D%2018%20%5Ccdot%20r%5Csin%28%5Ctheta%29%20%5Ccdot%20r%5Ccos%28%5Ctheta%29)
Use the following substitution
. Then
![(x^2+y^2)\cdot (x) = 18 \cdot (x)\cdot(y)](https://tex.z-dn.net/?f=%20%28x%5E2%2By%5E2%29%5Ccdot%20%28x%29%20%3D%2018%20%5Ccdot%20%28x%29%5Ccdot%28y%29)
By cancelling out x on both sides we get the following equation
or ![x^2+y^2-18y =0](https://tex.z-dn.net/?f=x%5E2%2By%5E2-18y%20%3D0)
Recall that given a expression of the form
we can complete the square by adding an substracting the amount
. So, we get
. In our case, we will complete the square for y, then
. Then
or
.
Recall that the equation of a circle is given by
where (h,k) is the center of the circle and r is the radius. In our case we have h=0, k = 9 and r = 9. So it is a circle of radius 9 centered at the point (0,9)
Answer:
225° or 315°
Step-by-step explanation:
If sin Ф = -1, Ф must be in Quadrant III or Quadrant IV.
sin Ф = (opposite side) / hypotenuse. The opposite side is negative only in Quadrant III and Quadrant IV.
The angle Ф is either 225° or 315°
Answer:
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.