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Mathematics

1 answer:

Katen [24]3 years ago

5 0

Answer: b) ±1, ±2, ±7, ±14, ±1/3, ±2/3, ±7/3, ±14/3

<u>Step-by-step explanation:</u>

The possible rational roots are all of the factors of P (coefficient of last term) divided by each of the factors of Q (coefficient of first term).

-3x⁴ - 9x³ - 6x² - 8x + 14

$\dfrac{P}{Q}=\dfrac{factors\ of\ 14}{factors\ of\ 3}=\pm \dfrac{1,2,7,14}{1,3}\\\\\\=\pm \bigg\{\dfrac{1}{1},\dfrac{2}{1},\dfrac{7}{1},\dfrac{14}{1}, \quad \dfrac{1}{3}, \dfrac{2}{3}, \dfrac{7}{3}, \dfrac{14}{3}\bigg\}\\\\\\=\pm \bigg\{1, 2, 7, 14, \quad \dfrac{1}{3}, \dfrac{2}{3}, \dfrac{7}{3}, \dfrac{14}{3}\bigg\}$

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Find the leg (in inches) of the triangle whose hypotenuse is 10 inches and whose other leg is 3.25 inches. Round to the nearest

alekssr [168]

Answer:

Other Side (B) = 9.45 inches

Step-by-step explanation:

Given:

Hypotenuse = 10 inches

Other Side (A) = 3.25 inches

Find:

Other Side (B) = ?

Computation:

According to Pythagoras theorem:

$Hypotenuse^2= (Perpendicular)^2+(Base)^2\\\\Hypotenuse^2= (A)^2+(B)^2\\\\10^2= (3.25)^2+(B)^2\\\\100=10.5625 +(B)^2\\\\89.4375 = (B)^2\\\\B=\sqrt{89.4375}\\\\B=9.4571$