9514 1404 393
Answer:
Step-by-step explanation:
Let k represent Kim's age. Then Jack's age is k-5 and the total of their ages is ...
k + (k -5) = 21
2k = 26 . . . . . . . add 5, collect terms
k = 13 . . . . . . . . . divide by 2; Kim's age
k -5 = 8 . . . . . . . Jack's age
Kim is 13; Jack is 8.
Answer:
f(x) = - 4x² + 24x - 20
Step-by-step explanation:
Given
f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL
= - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4
= - 4x² + 24x - 36 + 16 ← collect like terms
= - 4x² + 24x - 20
Answer:
option 3
Step-by-step explanation:
Answer: (0, -6)
Step-by-step explanation:
The center is the midpoint of the diameter, meaning that the coordinates of Y must be (0, -6).
Answer:
0.22
Step-by-step explanation:
So in this problem, we have to find the hypotenuse first, since sine is opposite over hypotenuse.
We can do this using the pythagorean theorem (you can search it if you don't know). Or, we can just remember this as one of our pythagorean triplets (9,40,41). The last side will be 41.
We have to find the value of sin(D)
opposite/hypotenuse = 9/41 = 0.2195 which is about 0.22
