Hello!
Since you have a board that is 8 and 1/4 feet long, the easy way to calculate how many 1/2 feet are on 8 feet is two multiply 8 x 2, since there are two halves of a foot, in one foot (because two halves equal one whole). Now this may sound confusing but we can double check.
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| | As we can see here, there are two rows, each with 8 halves.
V V So now we multiply 8 x 2 and get 16.
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1
^-- Now if you add all of these, it's 8, proving that you can do 8 x 2
Yes, you may be asking, "What about the 1/4?" Don't worry about it! Questions like this try to trick you into making it more complicated, it asks how many halves are in 8 and 1/4, but 1/4 isn't enough to make a half so we leave it alone.
<span>{2 x×0 + 10 x = 3 u(t - 12) - (5 δ(t - 4)) x(0) = -1, x×0×0 = -2}
</span><span>{10 x = 3 u(t - 12) - 5 x(0) δ(t - 4) = -1, False}</span>
Answer: Any isosceles triangle is a counter example. More specifically, a triangle with sides 7, 7 and 3
When forming your triangle, make sure you apply the triangle inequality theorem. This is the idea where adding any two sides leads to a result larger than the third side. So we have
7+7 = 14 which is larger than 3
7+3 = 10 which is larger than 7
By definition, an isosceles triangle has two congruent sides. Some books say "at least 2 congruent sides", but I'll go with the first definition. If you want all three sides to be congruent, then you'd go for the term "equilateral".
Answer:
1.The ratio of dogs to cats is 3 to 4
2. For every 3 dogs there are 4 cats.
Step-by-step explanation:
Another way to solve this is to use the Midpoint Formula. The midpoint of a segment joining points

and

is

So the midpoint of your segment is

Perhaps it helps to see that the x-coordinate of the midpoint is just the average of the x-coordinates of the points. Ditto for the y-coordinate of the midpoint; just average the y's.