Answer:
a = 1/2
Step-by-step explanation:
Answer:
6 and 7
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x) , that is
f(3) = 2(3) = 6
To evaluate g(f(3)), substitute f(3) = 6 into g(x)
g(6) = 6 + 1 = 7
the distance between points is:
d = 7.8 units
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
The ordered pairs are:
(x1, y1) = (- 3, -2)
(x2, y2) = (2,4)
By applying the formula we have:
d = root ((2 - (- 3)) ^ 2 + (4 - (- 2)) ^ 2)
d = root (61)
d = 7.8
Answer:
h = -9
Step-by-step explanation:
Try to make the left hand side and the right hand side equal. By dividing like
h = (-27x+72)/(3x-8)
= [-9(3x-8)]/(3x-8)
= -9
When both sides are equal, you can't find the value of x as there are infinitely many solutions of x.
Answer:
∠ ABC ≈ 137.9°
Step-by-step explanation:
Using the Cosine rule in Δ ABC
cos B = 
with a = 89, b = 144, c = 65
cos B =
=
=
, thus
B =
( -
) ≈ 137.9° ( to the nearest tenth )