P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:
Answer:
Adding the exponents
Step-by-step explanation:
Multiplying exponential terms with the same base
To multiply exponents with same base , we use exponential property
When we multiply exponents with same base then we add the exponents
So, adding the exponents best explains to simplify the expression that has same base with exponents .
Answer: Maximum height = 105 feet
And, It takes 9/4 seconds to reach that point.
Step-by-step explanation:
Here the given function that shows the height of the pumpkin,
--------(1)
Where t is the time in second.
Differentiating equation (1) with respect to t,
We get,
Again differentiating above equation with respect to t,
We get,
For maximum or minimum,
At t = 9/4 , h''(t) = Negative value,
Therefore, At t = 9/4 seconds, h(t) is maximum,
And, the maximum value is,
Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds