Answer: −2.543
Step-by-step explanation:
Answer:
k = 4
Step-by-step explanation:
First, find the equations of each function.
f(x) = x/3 - 3
g(x) = x/3 + 1
Then plug these values for g(x) = f(x) + k.
x/3 + 1 = x/3 - 3 + k subtract x/3 on both sides
1 = -3 + k add -3 on both sides
k = 4 we're done!
and this makes sense because g(x) is just a translation of f(x) 4 units up.
Answer:
14.5 cm
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
c = hypotenuse (15)
to solve for b (other leg), the equation is b^2 = c^2-a^2
15^2 - 4^2 = 209
= approx. 14.5
the other leg is (rounded to the nearest 10th) 14.5 cm