Alex and Nick collect baseball cards. Alex has three more than twice as many cards as Nick. Together they have 27 cards. How man
2 answers:
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It is established that
A correlation between two variables, x and y, demonstrates a direct variation if it can be written in the format or
For this question, we have
the point lies on the direct variation line
therefore
Determine the constant of proportionality k
-------> substitute ------>
The equation is
Keep in mind that
If a point is located on the direct variation line
then
the point has to fulfill the direct variation equation
we will now validate each point
case A) point
Insert the values of x and y into the direct variation equation
-------> is valid
thus
the point lies on the direct variation line
case B) point
Insert the values of x and y into the direct variation equation
-------> is valid
thus
the point lies on the direct variation line
case C) point
Insert the values of x and y into the direct variation equation
-------> is not valid
thus
the point does not lie on the direct variation line
case D) point
Insert the values of x and y into the direct variation equation
-------> is valid
thus
the point lies on the direct variation line
case E) point
Insert the values of x and y into the direct variation equation
-------> is not valid
thus
the point does not lie on the direct variation line
case F) point
Insert the values of x and y into the direct variation equation
-------> is valid
thus
the point lies on the direct variation line
ultimately
the solution is
Response:
The area of the shaded part is 42.50 cm².
Detailed explanation:
Examine the diagram provided.
The circle has a radius of r = 5 cm.
Dimensions of the rectangle are:
l = 11 cm
b = 11 cm.
Calculate the area of the shaded portion as follows:
Area of the shaded region = Area of rectangle - Area of circle
Consequently, the shaded area totals 42.50 cm².
