Let
be an integer. Suppose there is a triangle with legs of length 16 and
. Then by the Pythagorean theorem, the length of the hypotenuse should be
The formulas for Pythagorean triples say that if the legs are integers, then so must be the hypotenuse, because if
and
are integers, then so are
,
, and
.
However,
is not a perfect square trinomial, which means for any integer
, the length of the hypotenuse is not an integer, so such a triangle doesn't exist.
Answer:
268.2 grams
Step-by-step explanation:
44.7 times 6
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A graph and a table are provided below this discussion. You should plot these in this order.
y = 1 - 3x In red. It might be hard to see
y < 1 - 3x In blue
The table which is to the left of the graph
The table is constructed by putting a value in for x
x = 2
y = 1 - 3(2)
y = 1 - 6
y = - 5
Answer: 60000
Step-by-step explanation:
The ten thousands place is the 5th digit from the right. Because the digit in the thousands place is less than 5, round down to 60000.
It is true that corresponding points must be an equal distance from the Line of reflection. This is because in cases of reflection, the image is far behind the mirror or line of reflection as the object is in front of the mirror. What this proposition means is, the distance from the object to the line of reflection is equal to the distance between the reflection line and the image. There sizes are bound to be equal to, and hence the two corresponding points will be similar.
