Step-by-step explanation:
Let the width=x
Length =6x-4
As we know that in a rectangle
- Here a=6, b=-4, c=-20.
- use quadratic formula
The maximum height the ball achieves before landing is 682.276 meters at t = 0.
<h3>What are maxima and minima?</h3>
Maxima and minima of a function are the extreme within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.
We have a function:
h(t) = -4.9t² + 682.276
Which represents the ball's height h at time t seconds.
To find the maximum height first find the first derivative of the function and equate it to zero
h'(t) = -9.8t = 0
t = 0
Find second derivative:
h''(t) = -9.8
At t = 0; h''(0) < 0 which means at t = 0 the function will be maximum.
Maximum height at t = 0:
h(0) = 682.276 meters
Thus, the maximum height the ball achieves before landing is 682.276 meters at t = 0.
Learn more about the maxima and minima here:
brainly.com/question/6422517
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Answer:
population will be 79806.
Step-by-step explanation:
Population of a town 4 years ago was 50,000
Population of town had grown exponentially and present population is 63,124.
So the formula of the population growth will be
Where = Final population n = number of years.
= Initial population
r = rate of increase in population per year.
so 63124 = 50,000
= 1.0813
Now we have to find the population after 4 years from now.
=
=
= 63124 × 1.264
= 79806
Therefore, after 4 years from now population will be 79806.
Answer:
c = 17
Step-by-step explanation:
Use the Pythagorean Theorem to solve this problem.
The equation is a² + b² = c².
"a" and "b" are the length of the two shorter sides or values.
"c" is the length of the longest side or value, also the hypotenuse.
Since we know the two smaller values, we can <u>replace "a" and "b" with 8 and 15</u>. It does not matter which letter you decide to replace with which number.
Then<u> simplify and isolate "c" </u>to find the largest value.
a² + b² = c²
8² + 15² = c² Substitute "a" and "b". Square the numbers to simplify
64 + 225 = c² Add to simplify
289 = c²
√289 = √c² Square root both sides
√289 = c "c" will be isolated because √ and ² are reverse operations
c = √289 Put 'c' on the left side for standard formatting.
c = 17 Answer
Therefore the largest value, c, is 17 in the triple.