Answer:
The standard form of the equation of y = -1/4x - 2 is x + 4y = -8 which is C
So first you want to do the multiplication.
(3-4i)*(1+5i)
So what you want to do is multiply everything inside the parenthesis by everything inside the other parenthesis.
Or,
3 * 1 + 3 * 5i + -4i * 1 + (-4i) * 5i
Or,
3 + 15i + -4i - 20i
Then,
3 + -9i
3 - 9i - (2 - i)
Open the parenthesis, and since it has a minus before it reverse the operator inside of the parenthesis.
3 - 9i - 2 + i
Or,
1 - 8i
Answer:
x = 10
Step-by-step explanation:
Call the shortest side = x
Therefore the perimeter is x + (x+1) + (x+ 1) = P
The perimeter of the square is 4*(x - 2)
So these two conditions are equal
x + (x+1) + (x + 1) = 4*(x - 2) Remove the brackets on both sides.
x + x + 1 + x + 1 = 4x - 8 Combine the terms on the left
3x + 2 = 4x - 8 Add 8 to both sides
3x + 2 + 8 = 4x - 8+ 8 Combine
3x + 10 = 4x Subtract 3x
3x-3x + 10 = 4x - 3x Combine
10 = x
Answer:
15,746,400
Step-by-step explanation:
This is an example of an exponential function.
1. The function is: 
2. We can plug the number of hours into the equation.
3. population = 800 * 
4. population = 15,746,400
