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:
none of these
Step-by-step explanation:
Answer:
the solution of the system is:
x = 1 and y = 2.
Step-by-step explanation:
I suppose that we want to solve the equation:
-6*x + 6*y = 6
6*x + 3*y = 12
To solve this, we first need to isolate one of the variables in one of the equations.
Let's isolate y in the first equation:
6*y = 6 + 6*x
y = (6 + 6*x)/6
y = 6/6 + (6*x)/6
y = 1 + x
Now we can replace this in the other equation:
6*x + 3*(1 + x) = 12
6*x + 3 + 3*x = 12
9*x + 3 = 12
9*x = 12 - 3 = 9
x = 9/9 = 1
Now that we know that x = 1, we can replace this in the equation "y = 1 + x" to find the value of y.
y = 1 + (1) = 2
Then the solution of the system is:
x = 1 and y = 2.
Answer:
3.74
Step-by-step explanation:
Since 64 is x2 the number 32, and the tax for that is 1.87 you times that times 2 so:
1.87x2=3.74
Answer: At most 9 attendees can be there.
Step-by-step explanation:
Given equation:<em> d = 8a</em> , where <em>a</em> represents the number of attendees, and the variable <em>d </em>represents the cost in dollars.
To find : the number of attendees, if Will budgets a total of $72 for his graduation picnic.
72=8a
⇒ 9 = a [divide both sides by 8]
∴ a= 9
Hence, at most 9 attendees can be there.