The pyramid shown has a square base that is 32 centimeters on each side. The slant height is 24 centimeters. What is the lateral
2 answers:
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Answer:
Assuming (6 9) is a fraction I just multipled the coordinates of A,B,C,D by that
Step-by-step explanation:
Example: A coordinates are (-5,-2) so I multiplied -5 by 6/9 which is -10/3, and -2 by 6/9 which is -4/3.
I then plotted (-10/3,-4/3), which would be A'
Do the same for the rest of BCD to find B'C'D'
Let one of those even numbers be x, Then other even number would be x + 2.
<u>According</u><u> </u><u>to</u><u> </u><u>question</u><u>,</u>
⇛ Their reciprocal add upto 3/4
<u>So</u><u>,</u><u> </u><u>we</u><u> </u><u>can</u><u> </u><u>write</u><u> </u><u>it</u><u> </u><u>as</u><u>,</u>
⇛ 1/x + 1/x + 2 = 3/4
⇛ x + 2 + x / x(x + 2) = 3/4
⇛ 2x + 2 / x² + 2x = 3/4
<u>Cross</u><u> </u><u>multiplying</u><u>,</u>
⇛ 3(x² + 2x) = 4(2x + 2)
⇛ 3x² + 6x = 8x + 8
⇛ 3x² - 2x - 8 = 0
⇛ 3x² - 6x + 4x - 8 = 0
⇛ 3x(x - 2) + 4(x - 2) = 0
⇛ (3x + 4)(x - 2) = 0
Then, x = -4/3 or 2
☃️ It can't be -4/3 because it is fraction and negative number. So, x = 2
Then, x + 2 = 4
✤ <u>So</u><u>,</u><u> </u><u>The</u><u> </u><u>even</u><u> </u><u>numbers</u><u> </u><u>are</u><u> </u><u>2</u><u> </u><u>and</u><u> </u><u>4</u><u>.</u>
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