Answer:
f(g(x)) = x^2 + 27.
Step-by-step explanation:
To find f(g(x)) we replace the x in f(x) by g(x) and simplify:
f(g(x)) = 7(x^2 + 2) + 13
= 7x^2 + 14 + 13.
= 7x^2 + 27.
5n-4=11
1/2n+15=20
4n+8=12
unless those _ are supposed to be negative signs
then it would be
1/2n+15=-20
and 4n+8=-12
Answer:
17 inches
Explanation:
The Pythagorean theorem states that a^2+b^2=c^2 when c is the longest side (the hypotenuse) and a and b are the other two sides. This theorem can only be applied to right triangles.
First, plug the values into the formula.
a^2+b^2=c^2
8^2+15^2=c^2
64+225=c^2
289=c^2
Take the square root of both sides
c=17
I hope this helps!
We are given with the focus coordinates of (0,-4) and a directrix equation of y=4,. we are asked for the equation of the parabola. The vertex of the parabola should lie in between the directrix and the focus. Hence, vertex should be at (0,0). the curve goes downwards. and the length of the latus rectum is 4. Hence the equation is x2=-16y
A. 33x+132
B. 3/2 x(11-10x)
C.68.2+25x
Hope this helps