Using the graph, determine the coordinates of the vertex of the parabola
2 answers:
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Answer:
Step-by-step explanation:
Given
Two sides of triangle of sides 5 ft and 7 ft
and angle between them is increasing at a rate of 0.9 radians per second
let is the angle between them thus
Area of triangle when two sides and angle between them is given
Differentiate w.r.t time
at
We want to see if the given function represents a linear function.
We will see that yes, it does.
So we have the function:
y = f(x) = 30 + 5*x
And a general linear function is written as:
y = a*x + b
where a is the slope and b is the y-intercept.
Comparing these two, we can see that both have the same general shape, thus, our function is also a linear function.
A graph of our function also can be seen below, where it is evident that it is a line.
If you want to learn more, you can read:
Answer:
Area of parallelogram is 150 square ft
Step-by-step explanation:
Given the parallelogram in the figure whose height is 10 ft and base length is 15 ft.
Area of parallelogram is
=
= 150 square ft
now we have to decompose this parallelogram into rectangles and triangles and then to determine the shape.
The given parallelogram KLMN can be decomposed into 2 triangles and one rectangle.
2 right angled triangles KPL and NOM by construction
⇒ (∵ KLMN is a parallelogram)
Hence, dimension of triangles are 10 ft, 2 ft and 10.2 ft
Now rectangle KPON with dimension 15 ft and 10 ft because KP and NO are perpendiculars on LM.
