Answer:
A 12
B 30 lost
Step-by-step explanation:
One way of solving this problem can be Heron's formula. It is a formula that allows us to compute the area of a triangle, knowing the length of its three sides.
For the sake of clarity, let's assume that the point in the top-left lies in the origin, and let's call it point A. Then, the "middle" point is point B, and the bottom-right point is point C.
If we fix the coordinate axis with the origin in A, we have the following coordinates for the three points:

We can compute the length of any side using the formula for the distance between two points:

Plugging the approriate values, we get the following lenghts:

Now that we have the lengths, we can use Heron's formula: given the side lenghts
and the semiperimeter
, the area is given by

If you plug our values, you will get an area of 6.5. So, unless I'm mistaken, none of the answers seem to mach, whereas 7 seems the best approximation.
The hypotenuse of the two triangles have the same slope because they are in the same straight line and the slope of a straight line is constatn.
You can prove that in this way:
slope = rise / run = Δy / Δx
For the upper triangle: slope = (4 - 2) / (8 - 4) = 2 / 4 = 1 / 2
For the lower triangle: slope = (-1 - (-5)) / (- 2 - (-10)) = 4 / 8 = 1 / 2
So, this proves that the two slopes are the same: 1 / 2
Answer:
m = -11/7
Step-by-step explanation:
change equation into slope-intercept form:
7y = -11x + 2
y = -
x + 2/7
slope is the coefficient of the 'x' term
Answer:
Its A i just took the test
Step-by-step explanation: