Answer:
<u>f(g(x)) = 9x² + 15x + 2</u>
Step-by-step explanation:
- f(x) = x² + 5x + 2
- g(x) = 3x
<u>Solving f(g(x))</u>
- f(g(x))
- f(3x)
- f(3x) = (3x)² + 5(3x) + 2
- f(3x) = 9x² + 15x + 2
- <u>f(g(x)) = 9x² + 15x + 2</u>
Answer:5in
Step-by-step explanation:
1. Identify the triangle
you are given a right triangle with the hypotonus missing and are given the side lengths 3 and 4 you know the hypotonus is 5 by the 3,4,5 Pythagorean tripe, if you do not notice this it can be solved with the Pythagorean theorem a^2+b^2=c^2
2. solve (if not done with 3,4,5 triple)
3^2+4^2=c^2
9+16=c^2
25=c^2
5=c | square root both sides to cancel the square
Answer:
y = 
- 1
Step-by-step explanation:
y - y1 = m (x - x1)
y + 5 = (x + 12)
y + 5 = x + 
y + 5 = x + 4
y = x - 1
Hope this was helpful :)
Answer:
3, 5, 7
Step-by-step explanation:
As per triangle inequality theorem:
- <em>Any side of a triangle must be shorter than the other two sides added together</em>
Assume the sides are equal to 3 smallest odd numbers: 1,3 and 5
- Then 1+3< 5 and it is against the above rule, so this is not correct
The next triple is: 3, 5 and 7
- Then 3+ 5 > 7 and it is correct
So 3, 5, 7 is the combination of smallest odd numbers to make sides of a triangle
