Answer:
the first one: y=2x ²-1
Step-by-step explanation:
Plug in the "x" to the equation, so: 2(2) ²-1 = 7 which is "y" in the table above.
Answer:
Step-by-step explanation:
The binomials are multiplied in the usual way, using FOIL or the distributive property:
(5 -2i)(3 -4i) = 15 -20i -6i +8i²
Since i² = -1, this becomes ...
= 15 -20i -6i -8 = 7 -26i
Step-by-step explanation:
circumference of a circle
U = 2 x pi x r
what you know:
U = 13
rearrange and solve for r
U/(2 x pi) = r
Answer: f(120°) = (√3) + 1/2
Step-by-step explanation:
i will solve it with notable relations, because using a calculator is cutting steps.
f(120°) = 2*sin(120°) + cos(120°)
=2*sin(90° + 30°) + cos(90° + 30°)
here we can use the relations
cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)
sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)
then we have
f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) + cos(90°)*cos(30°) - sin(90°)*sin(30°)
and
cos(90°) = 0
sin(90°) = 1
cos(30°) = (√3)/2
sin(30°) = 1/2
We replace those values in the equation and get:
f(120°) = 2*( 0 + (√3)/2) + 0 + 1/2 = (√3) + 1/2
Answer:
Step-by-step explanation:
12.4
you have to multiply 1 5/9 times 8
