You will need exactly 128 pieces of candy to go on all the cookies.
Step-by-step explanation:
To get to this conclusion you will need to use multiplication to determine the outcome.
Since there are 32 cookies for 8 of your friends and each cookie needs 4 pieces of candy you will need to multiply the pieces of candy per cookie.
32×4=128
Each friend will get 4 cookies each. You will get this conclusion by using division.
32÷8 = 4
Learn more about multiplication at brainly.com/question/12353086
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Answer:Y=30x
Step-by-step explanation:
90-0=90
9-6=3
90/3=30
y=30x
Answer with Step-by-step explanation:
We are given that
![x^2+y^2=(\sqrt 2)^2](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3D%28%5Csqrt%202%29%5E2)
![(x-3)^2+(y-3)^2=32=(4\sqrt 2)^2](https://tex.z-dn.net/?f=%28x-3%29%5E2%2B%28y-3%29%5E2%3D32%3D%284%5Csqrt%202%29%5E2)
Compare with the equation of circle
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
Where center of circle=(h,k)
r=Radius of circle
a.Center of circle=(0,0)
Radius=
units
Center of second circle=(3,3)
Radius of second circle=
units
b.Distance formula:![\sqrt{(x_2-x_1)^2+(y_2-y_1)^2](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2)
Using the formula
The distance between the centers of two circle
=![\sqrt{(3-0)^2+(3-0)^2}=3\sqrt 2](https://tex.z-dn.net/?f=%5Csqrt%7B%283-0%29%5E2%2B%283-0%29%5E2%7D%3D3%5Csqrt%202)
Hence, the distance between the centers of two circle =
units.
c.
Substitute x=-1 and -1
![1+1=2=](https://tex.z-dn.net/?f=1%2B1%3D2%3D)
![(1-3)^2+(1-3)^2=32](https://tex.z-dn.net/?f=%281-3%29%5E2%2B%281-3%29%5E2%3D32)
The circle must be tangent because there is just one point (-1,-1) is common in both circles and satisfied the equations of circle.
Answer:
option A, x² = 12
Step-by-step explanation:
In this question a secant has been drawn from an external point, bisecting the circle in two parts, one is 6 and second is 2 units.
From the same point a tangent has been drawn of length = x
By theorem of secants and tangent.
x² = 6 × 2 = 12
Therefore, option A, x² = 12 is the answer.