"Hexagon" means it has six sides.
"Regular" means all of its sides are the same length.
So the perimeter of a regular hexagon is (6) times (the length of any side).
6 x 18 cm = <em>108 cm</em>
In order to answer this, you need to find the equation of the line. The equation of a line is y= mx + b; mx being the slope and b being the y- intercept. The y intercept is located at (0, 20).
To find the slope, take two points. Let's use (1,40) and (2,60).
Use the slope formula: (y1 - y2)/(x1 - x2)
(60-40)/(2-1)= 20/1= 20.
The slope is 20, the equation is: y = 20x + 20.
Now plug 10 into x:
y = 20(10) + 20
y = 220
Your answer is 220.
9514 1404 393
Answer:
split the number into equal pieces
Step-by-step explanation:
Assuming "splitting any number" means identifying parts that have the number as their sum, the maximum product of the parts will be found where the parts all have equal values.
We have to assume that the number being split is positive and all of the parts are positive.
<h3>2 parts</h3>
If we divide number n into parts x and (n -x), their product is the quadratic function x(n -x). The graph of this function opens downward and has zeros at x=0 and x=n. The vertex (maximum product) is halfway between the zeros, at x = (0 + n)/2 = n/2.
<h3>3 parts</h3>
Similarly, we can look at how to divide a (positive) number into 3 parts that have the largest product. Let's assume that one part is x. Then the other two parts will have a maximum product when they are equal. Their values will be (n-x)/2, and their product will be ((n -x)/2)^2. Then the product of the three numbers is ...
p = x(x^2 -2nx +n^2)/4 = (x^3 -2nx^2 +xn^2)/4
This will be maximized where its derivative is zero:
p' = (1/4)(3x^2 -4nx +n^2) = 0
(3x -n)(x -n) = 0 . . . . . . . . . . . . . factor
x = n/3 or n
We know that x=n will give a minimum product (0), so the maximum product is obtained when x = n/3.
<h3>more parts</h3>
A similar development can prove by induction that the parts must all be equal.
The value of the population of the growth of an endangered birth after 5 years is 1975
<h3>How to determine the population after 5 years?</h3>
The population function is given as:
B(t) = 100 + 3/5t^5
At 5 years, the value of t is 5
So, we have
t = 5
Next, we substitute 5 for t in the equation B(t) = 100 + 3/5t^5
This gives
B(5) = 100 + 3/5 * 5^5
Evaluate the exponent
B(5) = 100 + 3/5 * 3125
Evaluate the product
B(5) = 100 + 1875
Evaluate the sum
B(5) = 1975
Hence, the value of the population of the growth of an endangered birth after 5 years is 1975
Read more about exponential functions at:
brainly.com/question/2456547
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Answer:
The function 
is shown by the graph below ⇒ 2nd answer
Step-by-step explanation:
<em>To find the right function chose two points from the graph and substitute the x-coordinate of each point in the function to find the y-coordinate, if they are the same with the corresponding y-coordinates of the points, then the function is shown by the graph</em>
From the figure:
The curve passes through points (-2 , 0) and (2 , 2)
∵ 
∵ x = -2
- Substitute x by -2
∴ 
∴ 
⇒ it is impossible no square root for (-) number
∴ is not the function shown by the graph
∵
∵ x = -2
- Substitute x by -2
∴ 
∴ 
∴ f(-2) = 0 ⇒ same as the y-coordinate of x = -2
∵ x = 2
- Substitute x by 2
∴ 
∴ 
∴ f(2) = 2 ⇒ same as the y-coordinate of x = 2
∴ The function is shown by the graph below
