Show me how to find the answer to 6x1/3
2 answers:
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One method to see it's a trapezoid is to find the slope of lines BC and AD.
The slope formula is
m = (y2-y1)/(x2-x1)
You should find that BC and AD both have the same slope (of -1), so that means the lines are parallel. That proves we have a trapezoid.
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To prove this trapezoid is isosceles, you can use the distance formula
to find the lengths of AB and CD (the two non-parallel sides). You should find that AB = CD.
Because AB and CD are horizontal and vertical respectively, this means you can simply count out the spaces to find that AB and CD are 3 units each. For any other rotated version of this trapezoid, use the distance formula instead.
Let, the numbers be "x" and "y". Consider "x" as the triple digit number.
Now, according to the question,
x + y = 217..........................equation (1)
x * y = 642............................equation (2)
Now,
Taking equation (2),
x * y = 642
y = 642 / x..................................equation (3)
Now, Taking equation (1),
Substituting the value of y from equation (3), we get,
Using zero product property,
EITHER,
x - 3 = 0
x = 3
OR,
x - 214 = 0
x = 214
Since, "x" is the triple digit number, x = 214.
Now,
Taking equation (2),
x * y = 642
Substituting the value of "x" in the equation, we get,
(214) * y = 642
y = 642 / 214
y = 3
So, the numbers are 214 and 3.
Now, according to the question,
x + y = 217..........................equation (1)
x * y = 642............................equation (2)
Now,
Taking equation (2),
x * y = 642
y = 642 / x..................................equation (3)
Now, Taking equation (1),
Substituting the value of y from equation (3), we get,
Using zero product property,
EITHER,
x - 3 = 0
x = 3
OR,
x - 214 = 0
x = 214
Since, "x" is the triple digit number, x = 214.
Now,
Taking equation (2),
x * y = 642
Substituting the value of "x" in the equation, we get,
(214) * y = 642
y = 642 / 214
y = 3
So, the numbers are 214 and 3.