Answer:
The solutions to the system of equations are:
Step-by-step explanation:
Given the system of the equations
isolate 'x' for 2x-y
Add y to both sides
Divide both sides by 2
isolate 'y' for
subtract y from both sides
Divide both sides by 9
The solutions to the system of equations are:
Answer:
The equation that models the situation is .
Step-by-step explanation:
Let suppose that effects from air friction and Earth's rotation can be neglected, so that the softball can be modelled experiment a free fall, that is, an uniform accelerated motion due to gravity. From we know the initial velocity and position of the position and we can determine the final position of the ball as a function of the final velocity:
(1)
Where:
,
- Initial and final position of the softball, measured in feet.
- Acceleration, measured in meters per square second.
,
- Initial and final velocities of the softball, measured in feet per second.
If we know that ,
and
, then the equation that models the situation is:
Then, we clear the final position of the softball:
The equation that models the situation is .
The area of the garden is 74 square feet
<h3>How to determine the area of the garden?</h3>The complete question is added as an attachment
From the attached figure, we have the following shapes and dimensions:
The rectangular area is
A1 = 10 * 5
Evaluate
A1 = 50
The area of the trapezoid is
A2 = 0.5 * Sum of parallel bases * height
This gives
A2 = 0.5 * (10 + 6) * 3
Evaluate
A2 = 24
The total area is
Total = A1 + A2
This gives
Total = 50 + 24
Evaluate
Total = 74
Hence, the area of the garden is 74 square feet
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