Tema
Q:
\( f : R ^ { 2 } \rightarrow R , f ( x , y ) = 2 x ^ { 2 } + 3 x y + 4 y ^ { 2 } - 5 x + 2 y + 2024 \)
Q:
A cell phone company charges a monthify fee of \( \$ 30 \) plus \( \$ 0.05 \) per minute of tallh
time. If your bill was \( \$ 35 \), how many minutes did you talk?
Q:
1. \( \triangle A B C \) is right angled at \( A \). \( A D \) is perpendicular to
\( B C \). If \( A B=8 \mathrm{~cm}, B C=10 \mathrm{~cm} \) and \( A C=6 \mathrm{~cm} \).
Find the area of \( \triangle A B C \). Also, find the length of \( A D \).
Q:
If \( a=5.6(1 \mathrm{dp}), b=24.1(1 \mathrm{dp}), c=145 \)
(3sf) \( \mathrm{d}=0.34(2 \mathrm{dp}) \)
Calculate the upper \& lower bounds
to \( 3 s f \).
\( {c d^{3}}^{3} \)
Q:
8. A gym membership costs \( \$ 20 \) per month plus a one-time regstration fee. If you poid
a total of \( \$ 180 \) after 6 months, how much was the regstration fee?
Q:
10. \( \triangle A B C \) is right angled at \( A \). \( A D \) is perpendicular to
\( B C \). If \( A B=8 \mathrm{~cm}, B C=10 \mathrm{~cm} \) and \( A C=6 \mathrm{~cm} \).
Find the area of \( \triangle A B C \). Also, find the length of \( A D \).
214
Q:
QUESTION SIX
Quinn purchases three rechargeable lights, two security locks and five rolls of tape. A security lock is \( R 60 \)
cheaper than a rechargeable light while a roll of tape is half the price of a security lock. He hands the cashier
R 1400 and receives \( R 20 \) change.
6.1. What is the total cost of all the items?
6.2. Determine the cost of four rechargeable lights, seven security locks and a roll of tape. (2)
Q:
\( \frac { 4 x } { x - 4 \sqrt { x } + 4 } - ( \frac { ( x + 2 ) ^ { 2 } } { 8 \sqrt { x } } - 1 ) \)
Q:
4] (a) If the points \( A(1,4), B(-1,-2) \) and \( C(2,-3) \)
are vertices atriangle, prove that..
\( \triangle A B C \) is right angled at \( B \), and find its area
Q:
\( \sum _ { n = 1 } ^ { \infty } \frac { 1 \cdot 3 \cdot 5 \cdot \ldots \cdot ( 2 n - 1 ) } { 2 \cdot 5 \cdot 8 \cdot \ldots \cdot ( 3 n - 1 ) } \)
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