7. x=3 is the midpoint between the roots. The other root is x = 2*3 -(-5) = 11.
8a) f(x) = (x +3)^2 -49. The vertex is (-3, -49). The roots are -10, 4.
8b) y = (x+4)^2 -1. The vertex is (-4, -1). The roots are -5, -3.
8c) f(x) = 2(x +3)^2 -34. The vertex is (-3, -34). The roots are -3±√17.
Answer:
20 cyclists
Step-by-step explanation:
In 2007 only two bikes are there which mean only 20 cyclists participated and that is the least amount out of all years
Sin = Opposite/ Hypotenuse
Sin (theta)= 5/10
Sin^-1(5/10)=30
theta=30
1, 3, 5, 7, 9 ......
notice, there are consecutive odd integers, every other number
skip one, another, skip one, another and so on
so, from 1 to 3, is 1 + 2 =3
5 is 3 +2
7 is 5+2
and so on
let us pick an odd integer, hmmm say "a"
to find the next odd one, it'd be "a + 2" of course :)
we know their sum is 316
so

once you found "a", the next one is, well, "a + 2" :)
1. 3(6+4m) + 5m
2. Distribute the 3 to the inside of the brackets = 18 + 12m + 5m
3. 17m+18
Hope this helps!