Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-4, -2), B(-2, -2), C(-2,
7)C(−2,7)C, D(-4, 7
What is the area of rectangle ABCD?
What is the area of rectangle ABCD?
1 answer:
Answer:
The area of rectangle ABCD is
Step-by-step explanation:
Plot the figure to better understand the problem
we have the vertices
A(-4, -2), B(-2, -2), C(-2, 7), D(-4, 7)
see the attached figure
The area of the rectangle is equal to
where
L is the length
W is the width
In this problem we have
---> difference of the y-coordinates
---> difference of the x-coordinates
substitute
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The correct answer is A.
You have direct variation if x and y are modeled by the equation
In this case, m is the constant of proportionality. So, if the constant has to be 2, the equation becomes
A side note: Actually, option C has a constant of proportionality of two as well, except the roles of x and y are interchanged. I chose option A because usually you want the y = mx form, but the names of the variables are obviously meaningless.
Answer:
Option 3 -
Step-by-step explanation:
Given : Perpendicular to the line ; containing the point (4,4).
To Find : An equation for the line with the given properties ?
Solution :
We know that,
When two lines are perpendicular then slope of one equation is negative reciprocal of another equation.
Slope of the equation
Converting into slope form ,
Where m is the slope.
The slope of the equation is
The slope of the perpendicular equation is
The required slope is
The required equation is
Substitute point (x,y)=(4,4)
Substitute back in equation,
Therefore, The required equation for the line is
So, Option 3 is correct.