The diagonals of a trapezoid are only congruent (have the same length) if the trapezoid is an isosceles trapezoid.
It's true. That's how parallelograms are defined. Here's a diagram to show you what the question means. The opposite sides are parallel and there are 2 sets of parallel lines.
Starting from a velocity of 0, your change in velocity over a period of 6 seconds will be ...
... (9.8 m/s²)×(6 s) = 58.8 m/s . . . . . downward, since you are "falling"
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Note the units of seconds in the time period cancel one of the factors of seconds in the acceleration to leave only seconds in the denominator of the result. That is confirmation that the proper math operation is being carried out, since the units of velocity are meters per second.
You need to add 8 and -3 together to get 5 and divide 5 by 2 to get 2.5
That is the x coordinate
You then need to add 2 and -4 together to get -2 and divide by 2 to get -1
This is the y coordinate
(2.5,-1)
6 centimeters
x will represent the side length of the smaller square, so 2x is the side length of the bigger square.
x*x + 2x*2x = 45
x^2 + 4x^2 = 45
5x^2 = 45
x^2 = 9 (Divide by 5)
sqrt(x^2) = sqrt(9)
x = 3
2x = 6 (Multiply by 2)
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