Answer:49.5
Step-by-step explanation:
To find the 45% of 110
45/100×110
=49.5
Answer:
13) 8.6
Step-by-step explanation:
To find the side length, use a trig function to solve for x.
You have the adjacent side and hypotenuse to the angle. Use the cosine function since its ratio is adjacent over hypotenuse.
This means Cos 52 = x / 14. Solve for x.
Cos 52 = x / 14
14* Cos 52 = x
8.6 = x
8x + 5y = 2 → 5y = - 8x + 2 → y = (-8/5)x + 2 ⇒ m = -8/5
perpendicular slope = 5/8
Point-Slope formula: y - y₁ = m(x - x₁) ; where (x₁, y₁) is the given point
y - (-7) = (5/8)(x - 2)
y + 7 = (5/8)(x - 2)
8(y + 7) = 5(x - 2)
8y + 56 = 5x - 10
8y + 66 = 5x
66 = 5x - 8y ⇒ 5x - 8y = 66
Answer: 5x - 8y = 66
Answer:

Step-by-step explanation:
Because we have to rewrite this equation in the format
, we have to divide, or factor to find basic terms,
Expanding the value of k(x), we have
. We see that each term can be divisible by 4, so we can factor out 4 to get

Now, we have two different terms getting multiplied. We can separate the two to get 
Because we are multiplying 4 by the other term, this is represented by 
Now, we can just set f(x) and g(x) to these functions:

Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.
Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).