Answer:
3/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-7)/(-6-(-4))
m=-3/(-6+4)
m=-3/-2
m=3/2
<h3>
Answer: 320 square meters</h3>
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Explanation:
The scale factor 4 means the dimensions of the second rectangle are 4 times larger.
The width of 4 meters bumps up to 4*4 = 16 meters.
The length of 5 meters becomes 4*5 = 20 meters.
So a 4 by 5 rectangle is similar to a 16 by 20 rectangle.
The area of the second rectangle is therefore 16*20 = 320 square meters.
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As an alternative, you can compute the area of the 4 by 5 rectangle to get 4*5 = 20. Then multiply this with 4^2 = 16 to get 16*20 = 320.
The 4^2 = 16 multiplier is the result of squaring the scale factor.
So if you know the dimensions have been multiplied by 4, then the area has been multiplied by 16.
Answer:

Step-by-step explanation:
Given


Required
Determine the coordinate of the 4th point
From the given parameters, we can see that the rectangle is either horizontal or vertical.
This is because:

and

To calculate the fourth point, we simply make use of:
and 
Substitute 1.5 for x2 in 


Substitute -2 1/2 for y3 in 


Hence, the 4th point is:

Answer:

Step-by-step explanation:
Answer:
The best approximation is 
Step-by-step explanation:
we know that
The area of the circle is equal to

In this problem we have


substitute
