Answer:
- (5, 9)
- (5, 6)
- (-5,-6)
- (5, -9)
- (-9, -5)
Step-by-step explanation:
Compare the given functions to the vertex form. Match parts to find the values of h and k. The vertex is (h, k).
Vertex form: f(x) = a(x -h)^2 +k
__
f(x) = 5(x - 5)^2 + 9; h = 5, k = 9; vertex: (5, 9)
f(x) = 9(x - 5)^2 + 6; h = 5, k = 6; vertex: (5, 6)
f(x) = 9(x + 5)^2 - 6; h = -5, k = -6; vertex: (-5, -6)
f(x) = 6(x – 5)^2 - 9; h = 5, k = -9; vertex: (5, -9)
f(x) = 6(x + 9)^2 - 5; h = -9, k = -5; vertex: (-9, -5)
Answer:
All to 1 decimal place
3) a = 11.4
4) b = 11.2
5) c = 4.5
6) e = 6.4
7) f = 30.8
8) g = 67.9
Step-by-step explanation:
Step-by-step explanation:
3) cos(18) = a/12
12xcos(18) = a
a = 11.4
4) tan(25) = b/24
b = 24xtan(25)
b = 11.2
5) cos(51) = c/7.2
c = 7.2xcos(51)
c = 4.5
6) sin(28) = e/13.6
e = 13.6 x sin(28)
e = 6.4
7) cos(47) = 21/f
f = 21/cos(47)
f = 30.8
8) sin(33) = 37/g
g = 37/sin(37)
g = 67.9
All to 1 decimal place
80/130 simplified would just be 8/13, and that is the simplest form.
Final answer: 8/13
Hope this helped! :)
Answer: C
Step-by-step explanation:
Answer:
3/10
Step-by-step explanation:
Total paper clip =6+3+4+2+5
=20
Probability of green = number of green/total
= 6/20
leaving in it's lowest term
probability of green=3/20