Answer:
A. - 3.
B. - 1.
C. - 5.
D. - 4.
E. - 2.
Step-by-step explanation:
A. Definition refers to a statement that exactly defines the object, thing or everything.
B. Postulate or axiom is a statement that is accepted as true in order to initiate an argument.
C. Common notion is the statement that helps to understand the common sense about the subject.
D. Theorem is a statement that shows proof on the basis of previously making statements.
E. Corollary is a statement that act as a small proof that has already been proven.
Hence, the correct matches are:
A. - 3.
B. - 1.
C. - 5.
D. - 4.
E. - 2.
Answer:
(x + 4)^2 + (y - 8)^2 = 81
or
(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.
Step-by-step explanation:
The standard form for a circle is
(x + h)^2 + (y + k)^2 = r^2
r is the radius.
You are given the diameter
r = d/2
r = 18/2
r = 9
So you already have the right hand side of the equation
(x + h)^2 + (y + k)^2 = 9*2
(x + h)^2 + (y + k)^2 = 81
You basically have h and k as well. They come from the center point.
h = 4
k = - 8
So the equation of the circle (and the answer) is
(x + 4)^2 + (y - 8)^2 = 81
One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.
It is the distance formula that is actually the formula for the circle.
✰ <u>Given</u><u> </u><u>Information</u><u> </u><u>:</u><u>-</u>
⠀
- A minibus drives with a constant speed of 32 km/hr
⠀
✰ <u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>
⠀
- Time taken to travel a distance of 80 kilometers
⠀
✰ <u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>
⠀
⠀
✰ <u>Solution</u><u> </u><u>:</u><u>-</u>
⠀
Putting the values in the formula, we get,
⠀
Thus, the time taken to travel 80 km with that speed is 2.5 hours.
⠀
⠀
Answer:
Step-by-step explanation:
We have been given that an arrow is shot straight up from a cliff 58.8 meters above the ground with an initial velocity of 49 meters per second. Let up be the positive direction. Because gravity is the force pulling the arrow down, the initial acceleration of the arrow is −9.8 meters per second squared.
We know that equation of an object's height t seconds after the launch is in form , where
g = Force of gravity,
= Initial velocity,
= Initial height.
For our given scenario , and . Upon substituting these values in object's height function, we will get:
Therefore, the function for the height of the arrow would be .