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3 years ago

Solve the equation by completing the square. Round to the nearest hundredth if necessary.

Mathematics

1 answer:

sergejj [24]3 years ago

3 0

Answer

Step-by-step explanation:

(reorder terms)

<u>2x + 2x</u> = 8

collect like terms

divide both sides of the equation

x = 2

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3 years ago

A train travels 16 miles in 20 minutes At this rate , how many minutes will it take to trace 12 miles?

VARVARA [1.3K]

Answer:

Write and solve an equation of ratios:

16 miles 20 min

----------- = -----------

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3 years ago

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3 years ago

(10.02)

melisa1 [442]

Answer:

$sin O=\dfrac{3\sqrt{13}}{13}\\cos O=\dfrac{2\sqrt{13}}{13}\\tan O=\dfrac{3}{2}$

Step-by-step explanation:

If the point (2,3) is on the terminal side of an angle in standard position.

Adjacent of O, x=2,

Opposite of O, y=3

Next, we determine the hypotenuse, r using Pythagoras Theorem.

$Hypotenuse =\sqrt{Opposite^2+Adjacent^2} \\r=\sqrt{3^2+2^2} \\r=\sqrt{13}$

Therefore:

$sin O=\dfrac{Opposite}{Hypotenuse} \\sin O=\dfrac{3}{\sqrt{13}} \\$Rationalizing\\sin O=\dfrac{3\sqrt{13}}{13}$

$cos O=\dfrac{Adjacent}{Hypotenuse} \\cos O=\dfrac{2}{\sqrt{13}} \\$Rationalizing\\cos O=\dfrac{2\sqrt{13}}{13}$

$Tan O=\dfrac{Opposite}{Adjacent} \\tan O=\dfrac{3}{2}$

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3 years ago

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Answer:

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Step-by-step explanation:

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