Solutions
We know that a rectangle has four sides and the perimeter of a rectangle is the distance around the outside of the rectangle.The opposite sides of a rectangle are congruent To find the perimeter you have to use the formula 2 × <span>(Side A + Side B).
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We have the side lengths 7.7 mm and 17.2 mm.
Solve
2 × <span>(Side A + Side B)
2 </span>× <span>( Side A (7.7) + Side B (17.2) )
</span>= (7.7 x 2) + (17.2 x 2)
= 49.6
<span>The perimeter is 49.6 mm². </span>
Over the x-axis: (x, y) (x, –y)
Over the y-axis: (x, y) (–x, y)
Over the line y = x: (x, y) (y, x)
Through the origin: (x, y) (–x, –y)
The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.
TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.
17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17
For some reason, this does not give a correct value for Y, so I had to use trig
TO FIND Y
Notice that the angle DAB is the same as DBC (lets call this angle Ø)
Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.
We can now form some equations:
cosØ = 15/17 (from the top triangle)
cosØ = 8/Y (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15
X=64/15 Y=136/15
Your answer would be
8y^7
-------
3X^3
