What is the length of the hypotenuse in the following figure.
2 answers:
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Given:
The x and y axis are tangent to a circle with radius 3 units.
To find:
The standard form of the circle.
Solution:
It is given that the radius of the circle is 3 units and x and y axis are tangent to the circle.
We know that the radius of the circle are perpendicular to the tangent at the point of tangency.
It means center of the circle is 3 units from the y-axis and 3 units from the x-axis. So, the center of the circle is (3,3).
The standard form of a circle is:
Where, (h,k) is the center of the circle and r is the radius of the circle.
Putting , we get
Therefore, the standard form of the given circle is .
Answer:
The amount becomes $6964.53 after 3 years .
Step-by-step explanation:
Formula
Where P is the principle , r is the rate of interest in the decimal form and t is the time in the years .
As given
Earl invested 6,000 in a money market account that pays 5% interest quarterly for 3 years .
P = $6000
5% is written in the decimal form.
= 0.05
r = 0.05
t = 3 years
Putting all the values in the formula
Therefore the amount becomes $6964.53 after 3 years .
Answer:
The correct option is D. y = 25.
Step-by-step explanation:
i) From the table and our own observation and a trial and error approach we
can clearly see that the equation that matches y in feet ( the distance
traveled by the rocket) and x in seconds ( the time elapsed) is given by the
equation y = 25
Therefore the correct option is D. y = 25.