D E F Using the Pythagorean Theorem, which of the following is true?

Mathematics

1 answer:

yaroslaw [1]2 years ago

5 0

Answer:

Step-by-step explanation:

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The answer is 79 because 9/10 divided by 71.1 is 79. And if you want to check, you can multiply 9/10 by 79, which will give you 71.1. I hope this helped :)

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The owner of a retail store is tracking his inventory for an annual report. The graph shows the remaining inventory for a partic

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Y = -2.8x +69.4

Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
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19) Write 987% in decimal form

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9.87 because when converting from a percent to decimal, you always move the decimal back 2 spaces.

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3 years ago

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Please help me with these. These are so hard.<br><br>

LuckyWell [14K]

$\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) ~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{a^6+b^6}\implies a^{2\cdot 3}+b^{2\cdot 3}\implies (a^2)^3+(b^2)^3 \\[2em] [a^2+b^2] [(a^2)^2-a^2b^2+(b^2)^2]\implies \boxed{(a^2+b^2)(a^4-a^2b^2+b^4)}$

about the second one... well, is a "fait accompli" that using the pythagorean theorem, if x = 8 and y = 5, the hypotenuse must be √(8² + 5²) = √(89), which is neither of those choices.

5, 8, 13 are no dice, namely 5² + 8² ≠ 13

25, 64, 17 is are no dice too, because 25² + 17² ≠ 64²

however, 5,12 and 13 are indeed a pythagorean triple

also is 39, 80, 89.

when looking for a pythagorean triple, recall that c² = a² + b².

so the longest leg is the sum of the square of the small ones.

so what you'd do is, check the small legs, square them, add them up, if they're indeed a pythagorean triple, they "must" add up to the longest leg.

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3 years ago

What are the slope and the y-intercept of the line shown in the graph?

Darina [25.2K]

Answer:

Y-intercept: 2 Slope: -3 so... A.

Step-by-step explanation:

The Awsner is A.

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2 years ago

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