Given that x and y are positive integers and (x*2)+x(2^2)+(y*2^3)+(y*2^4)=42, what is the value of xy? PLEASE HELP!!!!!!
1 answer:
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The length of rectangle is 105 cm and width is 98 cm.
Step-by-step explanation:
Given,
Perimeter of rectangle = 406 cm
Let,
w be the width of rectangle
Length of rectangle = w+7
We know that
Perimeter of rectangle = 2(Length + Width)
Dividing both sides by 4
Width of rectangle = 98 cm
Length of rectangle = 98+7 = 105 cm
The length of rectangle is 105 cm and width is 98 cm.
To get the graph to have one x-intercept, we must find the m value where the discriminant of the equation will equal 0.
The discriminant for a graph with one x-intercept is found with the following formula:
Plug in the values of the equation into this formula:
Add 144 to both sides:
Square root both sides to get m by itself:
In order for the graph to have one x-intercept, m must equal -12 or 12.
The discriminant for a graph with one x-intercept is found with the following formula:
Plug in the values of the equation into this formula:
Add 144 to both sides:
Square root both sides to get m by itself:
In order for the graph to have one x-intercept, m must equal -12 or 12.