If a rectangle has an area of 10 feet and a perimerter of 14 feet, what are the dimensions?
1 answer:
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Answer:
Step-by-step explanation:
Exponential functions are represented in the form , where a is the initial value and b is the multiplier.
Here, we see that when x = 0, y = 4. This means that 4 is our initial value, or a. You can look at the a variable almost being like the y-intercept of a graph.
Next, we must solve for b. We can do 16 ÷ 4 to find the slope, or multiplier of this function, because 16 is 1 input x-value up from 0. 16 ÷ 4 = 4.
So, we now have all the needed variables, so we plug them into the formula
Answer:
The coordinates of G are: (-8, -10)
Step-by-step explanation:
Mid point formula:
Where,
are the coordinates of the mid point of the points
and
.
As per question statement, we are given that:
and
To find:
Solution:
Let us use the mid point formula:
The coordinates of G are: (-8, -10)
Splitting up [0, 3] into equally-spaced subintervals of length
gives the partition
where the right endpoint of the -th subinterval is given by the sequence
for .
Then the definite integral is given by the infinite Riemann sum