The endpoints of a line segment graphed on a coordinate plane are (8, 5) and (10, 1). What are the coordinates of the midpoint o
1 answer:
You might be interested in
Answer:
10
Step-by-step explanation:
Ground level is where h = 0, so solve the equation ...
h(x) = 0
-5(x -4)^2 +180 = 0 . . . . substitute for h(x)
(x -4)^2 = 36 . . . . . . . . . . divide by -5, add 36
x -4 = 6 . . . . . . . . . . . . . . positive square root*
x = 10 . . . . . . add 4
The object will hit the ground 10 seconds after launch.
_____
* The negative square root also gives an answer that satisfies the equation, but is not in the practical domain. That answer would be x = -2. The equation is only useful for time at and after the launch time: x ≥ 0.
Answer:
<em>If statement(1) holds true, it is correct that </em><em> is an integer.</em>
<em>If statement(2) holds true, it is not necessarily correct that </em><em> is an integer.</em>
<em></em>
Step-by-step explanation:
Given two positive integers and
.
To check whether is an integer:
Condition (1):
Every factor of is also a factor of
.
Let us consider an example:
which is an integer.
Actually, in this situation is a factor of
.
Condition 2:
Every prime factor of <em>s</em> is also a prime factor of <em>r</em>.
(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)
Let
which is not an integer.
So, the answer is:
<em>If statement(1) holds true, it is correct that </em><em> is an integer.</em>
<em>If statement(2) holds true, it is not necessarily correct that </em><em> is an integer.</em>
<em></em>