HU is the hypotenuse!
- IU is the opposite side of angle H
- and i'm pretty sure HI is the adjacent side to angle H!
-the hypotenuse is always the longest side and will be the opposite side of the right triangle. so angle i is the 90 degree angle, so the opposite side is HU which is also the longest!
- angle H is marked and you can see the opposite side of it is IU which is one of the legs of this triangle.
- adjacent just means like next to or beside so the side HI is next to the angle H which is also a leg of this triangle.
i hope this helps!!
C. C(t)=8(3)^t
......................
Answer:
4
Step-by-step explanation:
Simplifying
17 = 5k + -3
Reorder the terms:
17 = -3 + 5k
Solving
17 = -3 + 5k
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-5k' to each side of the equation.
17 + -5k = -3 + 5k + -5k
Combine like terms: 5k + -5k = 0
17 + -5k = -3 + 0
17 + -5k = -3
Add '-17' to each side of the equation.
17 + -17 + -5k = -3 + -17
Combine like terms: 17 + -17 = 0
0 + -5k = -3 + -17
-5k = -3 + -17
Combine like terms: -3 + -17 = -20
-5k = -20
Divide each side by '-5'.
k = 4
Simplifying
k = 4
Answer:
x = ln6
Step-by-step explanation:
e^2x - 2e^x - 24 = 0
a = e^x
=> a^2 - 2a - 24 = 0
=> (a + 4)(a - 6) = 0
=> a = -4 => e^x = -4 (invalid because e^x > 0)
=> a = 6 => e^x = 6 => x = ln6
