Answer:
(a) 5 mayflies
(b) 15 mayflies
(c) 84 flying flies
Step-by-step explanation:
Represent Mayflies with M and the total flying insects with F
The ratio can be represented as:
Solving (a):
Find M
Substitute 14 for F in
Convert to fraction
Multiply through by 14
Solving (b):
Find M
Substitute 42 for F in
Convert to fraction
Multiply through by 42
Solving (c):
Find F
Substitute 30 for M in
Convert to fraction
Multiply through by 30
X is 12 and y is 15 because of 3,4,5 triangles
Answer:
It is an even function.
f(t) = 2 cos πt
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The question is faulty written. I'll solve it assuming values for one variable and provide the answer to guide the student in their own question
Answer:
<em>x=t</em>
<em>y=-1-9t</em>
Step-by-step explanation:
<u>Parametric Equations</u>
Given an explicit relation between variables x and y, we can find expression for both of them in term of a third parameter t, such as
x=f(t)
y=g(t)
provided the main relation holds.
we have the equation
9x+y=-1
There are infinitely many forms to find parametric expressions for the variables, let's assume
x=t
Solving the equation for y
y=-1-9x=-1-9t
Thus the parametric equations are
x=t
y=-1-9t
9514 1404 393
Answer:
Step-by-step explanation:
The slope formula is useful for this.
m = (y2 -y1)/(x2 -x1)
__
<u>First line</u>:
m = (-9 -(-9))/(9 -(-6)) = 0/15 = 0
The slope of the first line is zero.
__
<u>Second line</u>:
m = (-5-1)/(4 -4) = -6/0 = undefined
The slope of the second line is undefined.
_____
It is always a good idea to apply a little critical thinking to the given information. Here, you observe that the y-coordinates of the first pair of points are the same. That means this is a horizontal line, with a slope of 0.
Similarly, you observe that the x-coordinates of the second pair of points are the same. That means this is a vertical line, with undefined slope.