Are of a parallelogram is base (height)
since the height of this parallelogram is 7(that’s it’s altitude) and the base is 5
the area of this parallelogram is 35 unites sq
Answer:
parallel
Step-by-step explanation:
3x = -2 - y will turn into y = -2 - 3x
4 + y = -3x + 1 will turn into y = -3 - 3x
so the lines will be next together (parallel)
Given:
The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:
To find:
The current that will produce the maximum power.
Solution:
We have,
Here, leading coefficient is negative. So, it is a downward parabola.
Vertex of a downward parabola is the point of maxima.
If a parabola is 
, then
In the given function, a=-12 and b=120. So,
Putting x=5 in the given function, we get
Therefore, 5 watt current will produce the maximum power of 300 amperes.
It will take Lauren 1.25 seconds to hit the water.
With the given information, we can write the following quadratic equation.
Now, just use the quadratic formula to solve the equation.
You will get 1.25 and -0.75 as the zeros of the equation (where Laruen hits the water).
Only 1.25 makes sense in the context of this problem.
