Answer:
CD = 4
Step-by-step explanation:
I believe you know the geometric mean for altitudes?
CD = √AD * DB = √8 * 2 = √16 = 4
If you are not aware of this theorem, then use the similarity of triangles.
ADC ~ CDB
AD/DC = CD/DB (cross-multiply)
CD^2 = AD*DB,
CD = √AD * DB = √8 * 2 = √16 = 4
Y intercept = -2
There is no X intercept as it is an asymptote
5a - 4a = -9 - 8a
a = -9 - 8a
9a = -9
a = -1
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.
