Answer:
Step-by-step explanation:
Connect points I and K, K and M, M and I.
1. Find the area of triangles IJK, KLM and MNI:
2. Note that
3. The area of hexagon IJKLMN is the sum of the area of all triangles:
Another way to solve is to find the area of triangle KIM be Heorn's fomula, where all sides KI, KM and IM can be calculated using cosine theorem.
Answer:
125
Step-by-step explanation:
Given
f(x) = 5x²
g(x) = 2x + 3
Now
g(-4) = 2 * (- 4) + 3
= - 8 + 3
= - 5
Also
f(g(-4)) = f( -5)
= 5 * ( -5)²
= 5 * 25
= 125
To visualize better, look at it like this:
First, see if you can simplify 3/2. You can't, so leave it like that.
The rule for exponents is you subtract the exponent from the bottom (r) from the exponent on the top ()
Put that on the top, and you get