(\(\frac{x^a}{x^b}\))a + b = (\(\frac{x^{a + b}}{x^{a - b}}\))\(\frac{a^2}{b}\)
x-a2
xb2
xa2 - b2
\(\frac{1}{x^{a2 + b2}}\)
xb2 - a2
Correct answer is D
(\(\frac{x^a}{x^b}\))a + b = (\(\frac{x^{a2 + ab}}{x^{b2 + ab}}\))
= xa2 - b2
{\(\frac{xa + b}{xa - b}\)} = xa + b - a + b
= x2b
= x2a
= xa2 - b2
= xb2 \(\div \) a2 = \(\frac{1}{x^\text a2 + b2}\)
Find the product of (2\(\sqrt{y - 3y}\)) and (3y = 2y)
4y = y2
4y + 9y2
4y - 9y2
-4y - 9y2
2y + y2
Correct answer is C
(2\(\sqrt{y - 3y}\))(3y = 2y)
= 6y y + 4y - 9y2 - 6y\(\sqrt{y}\)
= 4y - 9y2
60o
108o
120o
150o
None of the above
Correct answer is C
The sum of interior angle of pentagon
(5 sides) = (2n - 4) x 90o
n = 5
(2 x 5 - 4) x 90o = 6 x 90o
= 540o
540o - 60o = 480o \(\div\) 4
= 120o
\(\frac{YX}{ZX}\)
\(\frac{YX}{YZ}\)
\(\frac{ZX}{YZ}\)
\(\frac{YZ}{XY}\)
Correct answer is D
The two triangles are similar
\(\frac{FG}{YZ}\) = \(\frac{FH}{XY}\) = \(\frac{GH}{YZ}\) = \(\frac{FG}{FH}\) = \(\frac{YZ}{XZ}\)
36o
60o
70o
72o
75o
Correct answer is D
\(\frac{26}{130}\) = \(\frac{x}{360}\)
130x = 26 x 360
= 9360
x = \(\frac{9360}{130}\)
= 72o