Answer: Proved: the difference between squares of consecutive even numbers is always a multiple of 4. ... From the results above, we can see that 12, 20, and 28 are multiples of 4. Therefore, the difference between squares of consecutive even numbers is always a multiple of 4.

Step-by-step explanation:

5 0

3 years ago

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Triangle EFG, with vertices E(-9,2), F(-5,3), and G(-7,5), is drawn inside a rectangle, as shown below.

Lady bird [3.3K]

Check the picture below.

so hmmm let's get the whole area of the rectangle, and then <u>get the areas of those 3 triangles and subtract their area from that of the rectangle's,</u> what's leftover is what we didn't subtract, namely, the white triangle.

$\stackrel{\textit{\huge Areas}}{\stackrel{rectangle}{(3)(4)}~~ - ~~\stackrel{green~triangle}{\cfrac{1}{2}(2)(3)}~~ - ~~\stackrel{pink~triangle}{\cfrac{1}{2}(2)(2)}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(4)(1)}} \\\\\\ 12~~ - ~~3~~ - ~~2~~ - ~~2\implies 5$

5 0

2 years ago