Check the first picture below.
now, the exercise states to get it from the graph, so we have to graph it first.
Check the second picture below.
recall, the height in feet is on the y-axis, and the time in seconds is on the x-axis.
and rounded up to the nearest tenth will be 0.6.
To get the points at which the two boats meet we need to find the equations that model their movement:
Boat A:
vertex form of the equation is given by:
f(x)=a(x-h)^2+k
where:
(h,k) is the vertex, thus plugging our values we shall have:
f(x)=a(x-0)^2+5
f(x)=ax^2+5
when x=-10, y=0 thus
0=100a+5
a=-1/20
thus the equation is:
f(x)=-1/20x^2+5
Boat B
slope=(4-0)/(10+10)=4/20=1/5
thus the equation is:
1/5(x-10)=y-4
y=1/5x+2
thus the points where they met will be at:
1/5x+2=-1/20x^2+5
solving for x we get:
x=-10 or x=6
when x=-10, y=0
when x=6, y=3.2
Answer is (6,3.2)
Since the area of a square is equal to the square of one of its side's length, then the area should be equivalent to

.

---> equation (1)
By using pythagoras rule which states that the

---> equation (2)
where the opposite side's length is 8 and the hypotenuse side's length is 10
by substituting by the values in equation (2) therefore,

substitute this value in equation (1) then

where A is the area of the square whose side is x
Answer:
The answer to your question is 2184
Step-by-step explanation:
Data
Equation P(x) = 0.68x² - 0.048x + 1
x = years
population = 33984
Process
1.- Substitute the population in the equation
33984 = 0.84x² - 0.048x + 1
2.- Equal to zero
0.84x² - 0.048x + 1 - 33984 = 0
3.- Simplify
0.84x² - 0.048x - 33983 = 0
4.- Solve for x


x1 = 201.2
x2 = -201.2
Only x1 is correct because time can not be negative
5.- Calculate the year
Year = 1997 + 201
Year = 2184