Answer: Area = x² + 6x + 8
Step-by-step explanation:
Area = length x width
Area = (x+2)(x+4)
Area = (x)(x) + (x)(4) + (2)(x) + (2)(4)
Area = x² + 4x + 2x + 8
Area = x² + 6x + 8
K=4 would be the answer you’re looking for
Answer:
The stone would take approximately 10.107 seconds to fall 500 meters.
Step-by-step explanation:
According to the statement of the problem, the following relationship of direct proportionality is built:


Where:
- Time spent by the stone, measured in seconds.
- Height change experimented by the stone, measured in meters.
- Proportionality constant, measured in
.
First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

If
and
, then:


Then, the expression is
. Finally, if
, then the time is:


The stone would take approximately 10.107 seconds to fall 500 meters.
Step-by-step explanation:
The domain is x. The range is y (or in this case F(x)).
Plug in the numbers in the number set to get a number set for your y.
When the domain is -2:
f(-2) = 2(-2) + 4
f(-2) = -4 + 4
f(-2) = 0
When the domain is -2, the range is 0.
(-2 , 0)
When the domain is 0:
f(0) = 2(0) + 4
f(0) = 0 + 4
f(0) = 4
When the domain is 0, the range is 4.
(0 , 4)
When the domain is 3:
f(3) = 2(3) + 4
f(3) = 6 + 4
f(3) = 10
When the domain is 3, the range is 10.
(3 , 10)
The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:

Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:


We can calculate the equation of
p by using its slope and its point P: