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2 years ago

I need help with this one too. X=-1 and y=2; evaluate 10x-3+2xy

Mathematics

1 answer:

ExtremeBDS [4]2 years ago

7 0

Answer:

-17

Step-by-step explanation:

plug in x and y

10(-1)-3+2(-1)(2)

10(-1)= -10

2(-1)(2)= -4

-10-3-4

10+3+4= 17

don't forget the negative -17

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2 years ago

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2 years ago

Which set of numbers could represent the lengths of the sides of a right triangle?

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Answer:

The first set: 8, 15, and 17.

Step-by-step explanation:

By the pythagorean theorem, a triangle is a right triangle if and only if

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In this case,

$\text{longest side}^2 = 17^2 = 289$ .

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In other words, indeed $\text{hypotenuse}^2 = \text{first leg}^2 + \text{second leg}^2$ . Hence, 8, 15, 17 does form a right triangle.

Similarly, check the other pairs. Keep in mind that the square of the longest side should be equal to the sum of the square of the two

Factor out the common factor $2$ to simplify the calculations.

$\text{longest side}^2 = 20^2 = 400$

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 10^2 + 15^2\\ &=100 + 225 = 325 \end{aligned}$ .

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

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$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

$\text{longest side}^2 = 11^2 = 121$ .

<h3> $\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 7^2 + 9^2\\ &=49+ 81 = 130 \end{aligned}$ .</h3>

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

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3 years ago

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FromTheMoon [43]

Answer: the answer is the first one!!

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