Answer:
A. 2 terms; variable = x; constant = 4.5 -------> 4.5 - 2x
B. 2 terms; variables = x and y -----------> 4.5y - 2x
C. 3 terms; variables = x and y; constant = 2 --------------> 4.5x + 2 - 3y
D. 3 terms; variables = x and y; constant = 3 --------------> x - 2y + 3
Its 100% correct just not in the order you put it in, I think you might of switched them but I just did the Warm-Up and its right my dudes :)
Answer:
0.034921 miles or 1843774 feet tall
Step-by-step explanation:
Using trigonometric functions we know that
and
where
=angle and r is the hypotenuse of the triangle.
First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:

Now we will calculate the height of the building using the y equation and so:

The building is 0.034921 miles or approximately 184.3774 feet tall.
Answer:
2 real solutions
Step-by-step explanation:
We can use the determinant, which says that for a quadratic of the form ax² + bx + c, we can determine what kind of solutions it has by looking at the determinant of the form:
b² - 4ac
If b² - 4ac > 0, then there are 2 real solutions. If b² - 4ac = 0, then there is 1 real solution. If b² - 4ac < 0, then there are 2 imaginary solutions.
Here, a = 6, b = -20, and c = 1. So, plug these into the determinant formula:
b² - 4ac
(-20)² - 4 * 6 * 1 = 400 - 24 = 376
Since 376 is clearly greater than 0, we know this quadratic has 2 real solutions.
<em>~ an aesthetics lover</em>
Answer: 109/1000
.109 can not be reduced, so we must put it in a fraction with 1,000.
So, the fraction would be 109/1000, because we need a denominator as 1,000.
The answer = 109/1000