Look at the picture......
The quotient of a number and 0.004 is 60. Find the number
1 answer:
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Answer:
Step-by-step explanation:
The given postulate If two lines intersect, then they intersect in exactly one point is true because whenever the two lines intersect they intersect at one point only and we know that a postulate is a statement that we accept without proof.
The given theorem If two distinct planes intersect, then they intersect in exactly one line is true as theorem is a statement that has been proved and it has been proved that if two distinct planes intersect, then they intersect in exactly one line.
The figures are drawn to prove them.
Answer:
The maximum possible number of mosquitoes is 25 millions
Step-by-step explanation:
Let
m(x) -----> the number of mosquitoes in Minneapolis, Minnesota (in millions of mosquitoes)
x ----> the rainfall in centimeters
we have
This is a quadratic equation (vertical parabola) open downward
The vertex is the maximum
we know that
The maximum possible number of mosquitoes is equal to the y-coordinate of the vertex
Find out the coordinate of the vertex
The general equation of a vertical parabola in vertex form is equal to
where
a is a coefficient
(h,k) is the vertex
so
In this problem
a=-1 (open downward)
(h,k)=(5,25)
The y-coordinate is 25
therefore
The maximum possible number of mosquitoes is 25 millions