Answer: Choice B

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Explanation:
We'll be using the converse of the pythagorean theorem.
If we had a triangle with sides a,b,c and
was true, then we have a right triangle. Note: c is always the longest side
For the first answer choice we have: a = 5, b = 8, c = 12
Then,

which is false. This shows that we do not have a right triangle with sides 5,8,12. This rules out choice A. Choice C is a similar story.
Choice B on the other hand works because

We have a true statement at the end, which confirms <u>choice B</u> is a right triangle.
Answer:
(0,-2); The y-intercept is y=-2.
Step-by-step explanation:
Recall that the y-intercept is simply (0, y). In other words, we simply need to plug zero into the equation to acquire the y.
Thus:



Answer:
y+(21)=-4(x-7)
Step-by-step explanation:
the point slope equation , two point
m=y2-y1/x2-x1
m=23+21/-4-7=44/-11= -4
y+(21)=-4(x-7)
The probablility is 1/2 or 0.50 % chance.
Answer:

b = (T - a - c - d) / 3
Step-by-step explanation:
Let T be the total number of points required to advance.
a, c and d are points scored in the local matches, and b is the number of points scored in the district match. If b is worth 3 times as much as the other matches, the total number of points is given by:

Isolate b in order to find out how many points they need in the district match:

They need to score (T - a - c - d)/3, in the district match in order to win.