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LenaWriter [7]
4 years ago
14

Plz help me get the answer

Mathematics
2 answers:
pentagon [3]4 years ago
3 0

answer: b \leq -9

work:

\frac{1}{3}b -1 \leq -4 | add 1 on both sides.

\frac{1}{3}b \leq -3 | divide 1/3 to both sides.

b \leq-9 | final answer

<em>hope this helps! ❤ from peachimin </em>

Monica [59]4 years ago
3 0

Answer:

<h2>b ≤ -9</h2>

Step-by-step explanation:

\dfrac{1}{3}b-1\leq-4\qquad\text{add 1 to both sides}\\\\\dfrac{1}{3}b\leq-3\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{1}{3\!\!\1\!\diagup_1}b\leq(3)(-3)\\\\b\leq-9

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Which graph represents y=-2x
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In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.

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Cindy's age, x, is 3 times her age 6 years ago.
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The algebraic expression for the statement Cindy's age, x, is 3 times her age 6 years ago is 3(x-6).

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The first set: 8, 15, and 17.

Step-by-step explanation:

<h3>Pair: 8, 15, 17</h3>

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.

\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 8^2 + 15^2\\ &=64 + 225 = 289 \end{aligned}.

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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

<h3>Pair: 10, 15, 20</h3>

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

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

<h3>Pair: 12, 18, 22</h3>

\text{longest side}^2 = (2\times 11)^2 = 2^2 \times 121.

\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= (2 \times 6)^2 + (2 \times 9)^2\\ &=2^2 \times(36 + 81) = 2^2 \times 117 \end{aligned}.

\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.

<h3>Pair: 7, 9, 11</h3>

\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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