Answer:
18c-s
Step-by-step explanation:
Spike. dont. Trust. It
Answer:
x = 49°
Step-by-step explanation:
The sine of an angle is equal to the cosine of its complement:
x = 90° -41° = 49°
It would take Natalie 6 hours by herself since she will finish in twice the time if she had Caesar to help.
Let's say you are given the equation 4(x+5). What you must do is distribute the 4 to everything inside the parenthesis. What this means is that you multiply everything inside the parenthesis by the number outside the parenthesis (in this equation that would be 4). For example, the equation 4(x+5) would distribute as (4*x)+(4*5). This would then become 4x+20.
Answer:

Step-by-step explanation:
<u>Given equation</u>:

This is an equation for a horizontal hyperbola.
<u>To complete the square for a hyperbola</u>
Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

Factor out the coefficient of the x² term and the y² term.

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:


Factor the two perfect trinomials on the left side:

Divide both sides by the number of the right side so the right side equals 1:

Simplify:

Therefore, this is the standard equation for a horizontal hyperbola with:
- center = (1, 2)
- vertices = (-2, 2) and (4, 2)
- co-vertices = (1, 0) and (1, 4)

