Answer:
check image below
Step-by-step explanation:
f of g of x is also known as a composite function and it is mathematically denoted as (f ∘ g)(x) and it means that x = g(x) should be substituted in f(x)
U is a point in the line segment TV
TV = TU + UV
TV = 3x
UV = x + 1
TU = x
3x = (x+1) + x
3x = 2x + 1
3x - 2x = 1
<h3>x = 1</h3>
<h2><u>Length of TU = 1</u></h2>
Hope this will help...
F(x) = 112 - kx
f(-3) = 121
f(-3) = 112 - k(-3)
f(-3) = 112 + 3k
121 = 112 + 3k
121 - 112 = 3k
9 = 3k
9/3 = k
3 = k <===
Answer:
44/45 radians
Step-by-step explanation:
The area is given by the formula ...
A = (1/2)r²θ
where θ is the central angle in radians.
Filling in the given numbers, we have ...
110 cm² = (1/2)(15 cm)²θ
θ = (220 cm²)/(225 cm²) = 44/45 radians
The subtended angle is 44/45 radians, about 56.02°.