First we solve this equation:
x = cos^-1(0) = pi/2 and 3pi/2
Now, this is the answer for angles between 0 and 2pi
but there are "negative angles" and angles larger than 2pi
so the general solution that includes all of these cases is:
x = pi/2 + n*pi
here n is any integer.
Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?
To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).
Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.
Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
Answer:
Mrs. Jones baked 18 cookies
Mrs. Flynn baked 24 cookies
Step-by-step explanation:
42-6=36(to find 2x the number mrs jones baked)
36/2=18(how cookies baked by mrs jones)
18+6=24(how many mrs flynn baked)
The answer is
3^66483360316461674016
Step-by-step explanation:
charging the phone for 1 minute ,it has 2%
i.e,1----->2
After 2 minutes from that time ,i.e total 3 minutes
it has 6% charge
i.e,3--------->6
from the both the above cases ,1 minute provide 2%=6/3
=2
Hence,
for getting 50%charge=50/2
=25 min
and,for 90 %charge=90\2
=45 min
