Don't understand the problem can somebody please help me
The bottom of the rabbit cage is a rectangle with a perimeter of 118 inches. Let x be the cages width(in inches) and let y be its length (in inches).
write an equation for the perimeter the find the intercepts
that would simply be
2x + 2y = 118
which would reduce to
x + y = 59
thanks for the help
Well, isn't this a hare-raising problem! Let's hop right into it, shall we?
To find the perimeter, we'll have to add up all the sides of the rectangle. And since we have two sides of width x and two sides of length y, we can say that:
Perimeter = 2x + 2y
But wait, there's more! We also know that the perimeter is 118 inches. So now we can set up an equation:
2x + 2y = 118
Now, to find the x-intercept, we can set y equal to zero (because the x-intercept occurs when the y-coordinate is zero):
2x + 2(0) = 118
2x = 118
x = 59
So, the x-intercept is 59 inches. That's one funny bunny cage width!
To find the y-intercept, we can set x equal to zero (because the y-intercept occurs when the x-coordinate is zero):
2(0) + 2y = 118
2y = 118
y = 59
Oh look, it's another 59 inches! The y-intercept is also 59 inches. What a coincidence!
And there you have it, my friend. The x-intercept is 59 inches, and the y-intercept is 59 inches. I guess every-bunny needs some room to hop around!
To write an equation for the perimeter of the rabbit cage, we need to consider that the perimeter is the sum of all four sides of the rectangle.
The perimeter of a rectangle is given by the formula P = 2(x + y), where P represents the perimeter, x represents the width, and y represents the length.
In this case, the given perimeter is 118 inches. So, we can write the equation as:
118 = 2(x + y)
To find the x-intercept, we set y = 0 (since the x-intercept occurs when the length is zero):
118 = 2(x + 0)
118 = 2x
x = 118/2
x = 59
Therefore, the x-intercept is 59, which represents the width of the rabbit cage when the length is zero.
To find the y-intercept, we set x = 0 (since the y-intercept occurs when the width is zero):
118 = 2(0 + y)
118 = 2y
y = 118/2
y = 59
Therefore, the y-intercept is 59, which represents the length of the rabbit cage when the width is zero.