Answer:
x = 2
Step-by-step explanation:
The product of distances from the intersection of secants to the near and far intersections with the circle are the same. For a tangent, the near and far points of intersection with the circle are the same. This relation tells us ...
(2√3)(2√3) = x(x +4)
12 = x² +4x
16 = x² +4x +4 . . . . . add the square of half the x-coefficient to complete the square
4² = (x +2)² . . . . . . . . write as squares
4 = x +2 . . . . . . . . . . positive square root
2 = x . . . . . . . . . . . . . subtract 2
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<em>Alternate solution</em>
If you believe x to be an integer, you can look for factors of 12 that differ by 4.
12 = 1×12 = 2×6 = 3×4
The factors 2 and 6 differ by 4, so x=2 and x+4=6.
Answer:
<u>The four employees earned $ 452.80 in total</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Hour rate = $ 8.20
Overtime hour rate = $ 2.20 extra
Regular hours = 10
Overtime hours = 3
Number of employees = 4
2. How much money did they earn in total?
Let's find out the individual pay for an employee and then we'll calculate the pay for the 4 employees:
Individual pay = 10 * 8.20 + 3 * 10.40
Individual pay = $ 113.20
Total pay = Individual pay * 4
Total pay = 113.20 * 4
<u>Total pay = $ 452.80 </u>