Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form

is equal to

Part 1)
in this problem we have

so

substitute in the formula

therefore


Part 2)
in this problem we have

so

substitute in the formula





therefore


Answer:
$406.25
Step-by-step explanation:
Multiply 16.25 by 25:
16.25(25)
= 406.25
So, her gross wages were $406.25
Answer:
21.3
Step-by-step explanation:
It's easier to see how to do this if you transfer the 11 to the bottom of the rectangle. The look at the left triangle. It has 3 sides.
24, 11, and a.
You should be able to find a using
a^2 + 11^2 = 24^2 Expand the squares
a^2 + 121 = 576 Subtract 121 from both sides
a^2 = 576 - 121
a^2 = 455 Take the square root of both sides.
sqrt(a^2) = sqrt(455)
a = 21.33
or
a = 21.3
Answer:

Step-by-step explanation:
we know that
The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
Applying the Triangle Inequality Theorem
1) 
solve for n

Rewrite

2) 

therefore

Answer:
x > 17
Step-by-step explanation:
Add 8 to both sides:
6x - 8 > 4x + 26
6x > 4x + 34
Subtract 4x from both sides:
2x > 34
Divide each side by 2:
x > 17
So, the solution is x > 17