Answer:
1. 1st Quadrant
2. 3rd Quadrant
3. 2nd Quadrant
4. 2nd Quadrant
5. 4rth Quadrant
6. 2nd Quadrant
7. No they do no correspond to the same point.
Step-by-step explanation:
1st Quadrant : ( positive , positive )
2nd Quadrant : ( negative , positive )
3rd Quadrant : ( negative , negative )
4th Quadrant : ( positive , negative )
Explanation:
a. The line joining the midpoints of the parallel bases is perpendicular to both of them. It is the line of symmetry for the trapezoid. This means the angles and sides on one side of that line of symmetry are congruent to the corresponding angles and sides on the other side of the line. The diagonals are the same length.
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b. We observe that adjacent pairs of points have the same x-coordinate, so are on vertical lines, which have undefined slope. KN is a segment of the line x=1; LM is a segment of the line x=3. If the trapezoid is isosceles, the midpoints of these segments will be on a horizontal line. The midpoint of KN is at y=(3-2)/2 = 1/2. The midpoint of LM is at y=(1+0)/2 = 1/2. These points are on the same horizontal line, so the trapezoid <em>is isosceles</em>.
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c. We observed in part (b) that the parallel sides are KN and LM. The coordinate difference between K and L is (1, 3) -(3, 1) = (-2, 2). That is, segment KL is the hypotenuse of an isosceles right triangle with side lengths 2, so the lengths of KL and MN are both 2√2.
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For part (c), we used the shortcut that the hypotenuse of an isosceles right triangle is √2 times the leg length.
Answer:
486cm^2
Step-by-step explanation:
cube volume: 729cm^3
cube faces count: 6
How you calculate square area:
s(cm) * s(cm) or just s^2(cm^2)
s = side length
If you want to find out the side length of a cube by its volume. Then simply just remove the ^3 by taking the cubic root (also written ^(1/3))
729^(1/3) = 9
then just calculate the area like i showed earlier:
(9cm)^2 = 81cm^2
But that is only one side of a cube's 6 sides, so multiply by 6:
81cm^2 * 6 = 486cm^2
Hope i could help :D
Dont be scared to ask me questions..
Answer:
i guess its 1...
Step-by-step explanation:
11,513 is the answer I really don't know how to write it all out sorry