Topic
Q:
The shorter leg of a right triangle is 9 m shorter than the longer leg. The hypotenuse is 9 m longer than the longer leg. Find the side lengths of
the triangle.
Length of the shorter leg:
Length of the longer leg:
Length of the hypotenuse: \( \square \mathrm{m} \)
Q:
The longer leg of a right triangle is 1 cm longer than the shorter leg. The hypotenuse is 9 cm longer than the shorter leg. Find the side lengths of
the triangle.
Length of the shorter leg: \( \square \mathrm{cm} \)
Length of the longer leg: \( \square \mathrm{cm} \)
Length of the hypotenuse: \( \square \mathrm{cm} \)
Q:
Simplify the following:
\( \begin{array}{ll}\text { 2.1.1 } & \left(-2 x^{3} y^{3}\right)^{4} \\ \text { 2.1.2 } & -2\left(-4 x^{2}\right)^{2}+2\left(3 x^{2}\right)^{2} \\ \text { 2.1.3 } & \sqrt{49 x^{8}}+(2 x)^{4} \\ \text { 2.1.4 } & \frac{\left(3 x^{3}+2 x^{3}\right)^{2}}{5 x^{2} .5 x^{2} x}\end{array} \)
Q:
(2) \( \frac{\left(3 x^{2} y^{2}\right)^{2}}{3^{3} x^{-2} y^{3}}= \)
Q:
The length of the longer leg of a right triangle is 20 cm more than twice the length of the shorter leg. The length of the hypotenuse is 22 cm more
than twice the length of the shorter leg. Find the side lengths of the triangle.
Length of the shorter leg: \( \square \mathrm{cm} \)
Length of the longer leg: \( \square \mathrm{cm} \)
Length of the hypotenuse: \( \square \mathrm{cm} \)
Q:
2. Simplify: \( \frac{\left(3 x^{2} y^{2}\right)^{2}}{3^{3} x^{2} y^{3}} \)
(A) \( 3 x^{6} y \)
(B) \( \frac{x^{6} y}{3} \)
(C) \( \frac{x^{4}}{3 y} \)
(D) \( \frac{3 x^{4}}{y} \)
(E) \( \frac{3 x^{6}}{y^{7}} \)
Q:
The shorter leg of a right triangle is 5 m shorter than the longer leg. The hypotenuse is 5 m longer than the longer leg. Find the side lengths of
the triangle.
Length of the shorter leg: \( \square \mathrm{m} \)
Length of the longer leg: \( \square \mathrm{m} \)
Length of the hypotenuse: \( \square \mathrm{m} \)
Q:
(c) \( y=\int_{0}^{\tan (x)} \sqrt{t+\sqrt{t}} d t \)
Q:
Los gelyktydig op vir \( p \) en \( q \)
\( q+2 p=2 \) en \( q^{2}+2 p^{2}=3 q p \)
Q:
2. Simplify: \( \frac{\left(3 x^{2} y^{2}\right)^{2}}{3^{3} x^{2} y^{3}} \)
(A) \( 3 x^{6} y \)
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