Answer:
(6, -4)
Step-by-step explanation:
If ABCD is dilated by a factor of 2, you multiply the coordinates by 2. For the coordinate D', you would multiply 3 by 2 to get 6 and you would multiply -2 by 2 to get -4. Answer: (6, -4)
Answer:
![\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-2%29%5E2%7D%7B9%7D%2B%5Cfrac%7B%28y-1%29%5E2%7D%7B16%7D%3D1)
Step-by-step explanation:
![x=2-3\cos(t)](https://tex.z-dn.net/?f=x%3D2-3%5Ccos%28t%29)
![y=1+4\sin(t)](https://tex.z-dn.net/?f=y%3D1%2B4%5Csin%28t%29)
Let's solve for
in the first equation and then solve for
in the second equation.
I will then use the following identity to get right of the parameter,
:
(Pythagorean Identity).
Let's begin with
.
Subtract 2 on both sides:
![x-2=-3\cos(t)](https://tex.z-dn.net/?f=x-2%3D-3%5Ccos%28t%29)
Divide both sides by -3:
![\frac{x-2}{-3}=\cos(t)](https://tex.z-dn.net/?f=%5Cfrac%7Bx-2%7D%7B-3%7D%3D%5Ccos%28t%29)
Now time for the second equation,
.
Subtract 1 on both sides:
![y-1=4\sin(t)](https://tex.z-dn.net/?f=y-1%3D4%5Csin%28t%29)
Divide both sides by 4:
![\frac{y-1}{4}=\sin(t)](https://tex.z-dn.net/?f=%5Cfrac%7By-1%7D%7B4%7D%3D%5Csin%28t%29)
Now let's plug it into our Pythagorean Identity:
![\cos^2(t)+\sin^2(t)=1](https://tex.z-dn.net/?f=%5Ccos%5E2%28t%29%2B%5Csin%5E2%28t%29%3D1)
![\frac{x-2}{-3})^2+(\frac{y-1}{4})^2=1](https://tex.z-dn.net/?f=%5Cfrac%7Bx-2%7D%7B-3%7D%29%5E2%2B%28%5Cfrac%7By-1%7D%7B4%7D%29%5E2%3D1)
![\frac{(x-2)^2}{(-3)^2}+\frac{(y-1)^2}{4^2}=1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-2%29%5E2%7D%7B%28-3%29%5E2%7D%2B%5Cfrac%7B%28y-1%29%5E2%7D%7B4%5E2%7D%3D1)
![\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-2%29%5E2%7D%7B9%7D%2B%5Cfrac%7B%28y-1%29%5E2%7D%7B16%7D%3D1)
You would need to come in 583.6 or 584 times
Answer:
21
Step-by-step explanation:
We need to determine the percentage of defects of shoes for brand A
Percentage of shoes that have defect = (5/600) x 100 = 0.83%
shoes that would have defects when 2500 shoes are manufactured = 0.83% x 2500 = 0.0083 x 2500 = 20.75
rounding off to the nearest whole number gives 21 shoes
Answer:
-4
Step-by-step explanation:
its closer to -4