Answer:
Option B). 10 cm
Step-by-step explanation:
Distance between center and the focus of an ellipse is given by the formula,
c² = a² - b²
where, a = length of the major axis
b = length of the minor axis
and c = distance between focus and center
If c = 6 cm, b = 8 cm,
6² = a² - 8²
a² = 6² + 8²
a² = 36 + 64
a² = 100
a = 10 cm
Therefore, length of the major axis is 10 cm.
Option (B) is the answer.
Answer:
Function: 
Amount earned for 10 hours of work: 
Step-by-step explanation:
Let be "x" the number of hours worked on a project and "y" the total amount Luigi charges for a project.
Based on the data given in the exercise, you can identify that:
- $140 is a fixed amount.
- For each hour worked on the project, Luigi charges $25. This can be expressed as:

Then, the total amount he charges for a project is the sum of $140 and
. This can be represented with the following function:

To calculate the amount of money earned for 10 hours of work, you must substitute
into the function and evaluate. Then:

You can do 1-1/6 (1 represents the whole class)
6/6-1/6
=5/6
Rewrite the equation:
-2x^2 - 3x + 8 = 0
2x^2 + 3x -8 =0
Where a=2, b=3 and c=-8
Then b^2 - 4ac = 3^2 - 4(2)(-8) = 9 + 64 = 73
A positive discriminant implies that the equation has two different real solutions.
Answer: the discriminant is 73, so the equation has 2 real solution