Answer:
it would be 12
Step-by-step explanation:
When taking the composite of two functions, the resulting domain is the more restrictive of the two original domains. g(x) has a domain of all real numbers, but f(x) has a domain of x=/= 2. So, the domain of f(g(x)) is x=/= 2
Answer:
The answer to your question is: x = 62/5
Step-by-step explanation:
As ΔABC ≅ ΔEDF, then ∠A = ∠F
3x + 3 = 8x - 59
3x - 8x = - 59 - 3
-5x = -62
x = 62/5
Answer:
mRT = 4√13 ≈ 14.42
mST = 10√2 ≈ 14.14
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Since we have right triangles, in order to find the missing side, we use Pythagorean Theorem:
mTR:
12² + 8² = c²
144 + 64 = c²
c² = 208
c = √208 = 4√13
mST:
15² = 5² + b²
225 - 25 = b²
b² = 200
b = √200 = 10√2
To get your decimals, simply evaluate the square roots:
4√13 = 14.4222
10√2 = 14.1421