We need to look at 2 similar triangles
1) big one: legs - a,b, and hypotenuse - c
2)small one: legs - h,s, and hypotenuse - b.
Corresponding sides:
hypotenuse - c and hypotenuse - b,
big leg - b and big leg - s,
small leg - a, and small leg h.
?(/b(big leg, big triangle)= b(hypotenuse, small triangle )/s (big leg, small triangle)
? should be hypotenuse of the big triangle, c.
Answer is second one c.
Answer: the answer needs to equal 90 degrees
Step-by-step explanation:mhm
Answer:
f(3x) - 2g(x+1) = 12x - 5
Step-by-step explanation:
You've got f[g(x)] and g[f(x)] correct
However, f(3x) means substitute 3x for x in f(x):
f(3x) = 2(3x) - 3
⇒ f(3x) = 6x - 3
2g(x+1) = 2[4 - 3(x + 1)]
⇒ 2g(x+1) = 2[4 - 3x -3]
⇒ 2g(x+1) = 2[1 - 3x]
⇒ 2g(x+1) = 2 - 6x
f(3x) - 2g(x+1) = (6x - 3) - (2 - 6x)
⇒ f(3x) - 2g(x+1) = 12x - 5
According to the associative property of equality: (a + b) + c = a + (b + c) we can see that the parenthesis do not mean anything when we are only doing addition.
So answers 1. and 3. are correct.
<em>Thanks Associative Property!</em>