Answer:
(x+1)^2+(y+1)^2=13
Step-by-step explanation:
Equation of a circle: (x – h)^2 + (y – k)^2 = r^2
center: (-1, -1)
radius: sqrt(6^2+4^2)/2=sqrt(52)/2=2sqrt(13)/2=sqrt(13)
Substitute those values in to get
(x+1)^2+(y+1)^2=13
Answer:
381 different types of pizza (assuming you can choose from 1 to 7 ingredients)
Step-by-step explanation:
We are going to assume that you can order your pizza with 1 to 7 ingredients.
- If you want to choose 1 ingredient out of 7 you have 7 ways to do so.
- If you want to choose 2 ingredients out of 7 you have C₇,₂= 21 ways to do so
- If you want to choose 3 ingredients out of 7 you have C₇,₃= 35 ways to do so
- If you want to choose 4 ingredients out of 7 you have C₇,₄= 35 ways to do so
- If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so
- If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so
- If you want to choose 7 ingredients out of 7 you have C₇,₇= 1 ways to do so
So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127 ways of selecting ingredients.
But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.
Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.
Therefore, there are 381 different types of pizza.
I believe the answer would be b^4.
Explanation:
Use Quotient Rule: x^a/x^b=x^a-b
b^10-6
Then Simplify 10-6 to 4
b^4
1520 ÷ 10 = 152
1520 ÷ 20 = 76
1520 ÷ 40 = 38
