3 years ago

Find the greatest common divisor of 198 and 36.

Mathematics

1 answer:

ruslelena [56]3 years ago

5 0

The greatest common divisor is 18

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Nancy is checking to determine if the expressions x + 4 + x and 6 + 2 x minus 2 are equivalent. When x = 3, she correctly finds

anastassius [24]

Answer:

The value of the 2nd expression is 14, so the expressions are equivalent.

Step-by-step explanation:

6 + 2x - 2

6 + 2(5) - 2

6 + (10) - 2

16 - 2

3 0

3 years ago

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Use the diagram below to solve for x and y. Please help! Fast if possible.

Mila [183]

Answer:

x = 27

y = 29

Step-by-step explanation:

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3 years ago

Solve the equation on the interval [0, 2pi): 12cos^2 x-9=0<br><br><br> What to do?

siniylev [52]

Answer:

$\large\boxed{x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}}$

Step-by-step explanation:

$12\cos^2x-9=0\qquad\text{add 9 to both sides}\\\\12\cos^2x=9\qquad\text{divide both sides by 12}\\\\\cos^2x=\dfrac{9}{12}\\\\\cos^2x=\dfrac{9:3}{12:3}\\\\\cos^2x=\dfrac{3}{4}\to\cos x=\pm\sqrt{\dfrac{3}{4}}\\\\\cos x=\pm\dfrac{\sqrt3}{2}\\\\\text{Look at the picture}\\\\x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}$