If the center is at (0, 0) and the vertex is at (20, 0), then the distance, a, is the length from the center to the vertex, 20. The distance from the center to the focus is c. The distance from the center to the focus is 16, so c = 16. The formula we use to find the focus is
. We have our c value and our a value, so we will sub in those to find b.
and 256 = 400 - b^2. -b^2 = -144, so b = 12. There you go!
Step-by-step explanation:
We have 8y + 5 <= 37.
Therefore 8y <= 32 (subtract 5 both sides)
y <= 4 (divide 8 both sides)
Representing the given information mathematically, we have:
Let the number of candy pieces in the jar be
Since, it is given that:
John's guess of three times the number of candy pieces in the jar increased by is lower number than Keisha's guess of 250 less than twice the number of candy pieces.
Going to the John's guess, we get:
For the Keisha's guess, we have:
Therefore, according to the question, we get the inequality:
Anna did the mistake in comprehending the right side of the inequality correctly. Instead of comprehending she wrote: (which is incorrect).
Thus, the correct inequality is:
Answer:
Step-by-step explanation:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
You invest $2,000
This means that
Compounded anually
Once a year, so
Interest rate of 5%.
This means that
Amount after t years:
Answer:
1) y = 4x + 3
2) y = -1x + 1
Step-by-step explanation:
Just plugged in the data into y=mx+b