Answer:
Option B. 1/2
Step-by-step explanation:
The smaller triangle is a dilation of the larger triangle with the center of dilation at (2, -1).
we have to calculate the scale factor of the dilation.
One point of the large triangle is (-4, -1). After dilation it has become (-1, -1) of the smaller one.
If we consider the x coordinates of the point x = -4 has reduced down to -1 therefore scale factor = side of small triangle/side of the large triangle = (2 + 1)/(2 + 4) = 3/6 = 1/2
Therefore Option B. 1/2 is the answer.
Area of a rectangle = L * W
200 * 100 = 20,000
= 20,000m^2
Convert that to km^2
= 0.02km^2
Answer:

Step-by-step explanation:
Given


Required
The equation of the perpendicular bisector.
First, calculate the midpoint of the given endpoints



Open bracket


Next, determine the slope of the given endpoints.




Next, calculate the slope of the perpendicular bisector.
When two lines are perpendicular, the relationship between them is:

In this case:

So:


Since the slope is
, the equation is:

Where:

Recall that:

So:

Hence, the equation is:

Answer:
The Answer to this equation Y = 32
Step-by-step explanation:
I drew it out. Hope this helps.