Answer:
f(0) = g(0)
Step-by-step explanation:
- if a function h(x) passes through [a,b] then it can be said that h(a)=b.
- given that, g(x) passes through (-2,0) and (0,4)
so, g(-2)=0, g(0)=4.
- f(x) passes through (0,4) and (2,0)
so, f(2)=0, f(0)=4.
- so, first option is correct.
The irrational numbers are √10,√27,√99.
4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian
Hope it helped!
Answer:
12. The second one
13. The first one
14. The last one
15. The first one
16. 30 degrees
Step-by-step explanation: