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3. Design ah advertisement for a school newspaper, advertising for a "perfect friend". The advertisement should attract the attention of your peers, in order to make an impact: Choose at leass 4 oharactertśtics of healthy relationships that nean the most to you and use them as part of the information in your advertisement. 4. What do you understand by the word "initiate"? What are appropriate ways to initiate reationships ànd friendships? 5. What does it mean to sustain? to you? [16] 6. What tkind of benaviour is appropriate in relationships? [6] 7. Write a paragraph of advice about ways to disagree constructively. [6]
English Feb 21, 2025
Simplify the following expressions fully: 1.2.1 \( \left(4+\frac{1}{x}\right)\left(2-\frac{3}{x}\right) \)
Algebra Feb 21, 2025
Solve for \( x \) \( 2^{x \sqrt{x}}=2^{21} \)
Algebra Feb 21, 2025
Factorise the following expressions fully: 1.1.1 \( \quad 3 y^{2}+y \)
Algebra Feb 21, 2025
ACTIVITY 3.3.3: YOMEWORKCLASS WORK (INDIVIDUYt WOHK) 1. Give the correct term or word for each of the following statements: 1.1 Micro organisms that bring about the decay of dead plants and animals. 1.2 Plants that manufacture their own food. 1.3 Animats that depend on other organisms for food. 1.4 Animals that obtain their food from both plant and animal matenal 1.5 Organisms that use the food and energy in the ecosystem. 2. Differentiate between a food chain and a food web. Draw dia Iltustrate both. 3. State whether each of the following statements is true or false. If false, give a reason for your choice. 3.1 Herbivores, carnivores and omnivores are all animats. 3.2 Omnivores may belong to any trophic level except the first. 3.3 Decomposers are placed at the apex of an ecological pyramid. 3.4 An inverted pyramid of energy sometimes occurs. 3.5 A frog which feed on insects occuples level 2 of the food pyramid. 4. If we calculate the total amount of energy in each trophic level in a balanced ecosystem, and represent these graphically in sequence, one over the other, a pyramid of energy results. 4.1 Draw a diagram to illustrate such a pyramid. 4.2 Why is the total energy in any one trophic level always less than the total energy in the level immediately below it? (4) [33]
Biology Feb 21, 2025
4. Prove the following identities: \( 4.1 \quad \cos ^{2} x+\sin x \cdot \cos x \cdot \tan x=1 \) -sit \( 4.2 \quad \frac{1-\tan ^{2} \theta}{1+\tan ^{2} \theta}=2 \cos ^{2} \theta-1 \)
Trigonometry Feb 21, 2025
4. Prove the following identities: \( 4.1 \quad \cos ^{2} x+\sin x \cdot \cos x \cdot \tan x=1 \) -sit \( 4.2 \quad \frac{1-\tan ^{2} \theta}{1+\tan ^{2} \theta}=2 \cos ^{2} \theta-1 \)
Trigonometry Feb 21, 2025
4. Prove the following identities: \( 4.1 \quad \cos ^{2} x+\sin x \cdot \cos x \cdot \tan x=1 \) -sit \( 4.2 \quad \frac{1-\tan ^{2} \theta}{1+\tan ^{2} \theta}=2 \cos ^{2} \theta-1 \)
Trigonometry Feb 21, 2025
4. Prove the following identities: \( 4.1 \quad \cos ^{2} x+\sin x \cdot \cos x \cdot \tan x=1 \) -sit \( 4.2 \quad \frac{1-\tan ^{2} \theta}{1+\tan ^{2} \theta}=2 \cos ^{2} \theta-1 \)
Trigonometry Feb 21, 2025
3 If \( \cos A=\frac{S}{6} \) and \( A+B-90^{\circ} \), use a sketch to find the value of \( \frac{\tan A \cdot \tan B \cdot \sin A}{\cos B} \). Prove the following identities: \( 4.1 \quad \cos ^{2} x+\sin x \cdot \cos x \cdot \tan x=1 \) \( 4.2 \frac{1-\tan ^{2} \theta}{1+\tan ^{2} \theta}=2 \cos ^{2} \theta-1 \) sinf 5 Simplify each of the following. osi \( 5.1 \frac{2 \sin \left(90^{\circ}-x\right)-\cos \left(360^{\circ}-x\right)}{2 \cos \left(90^{\circ}+x\right)-\sin \left(180^{\circ}+x\right)} \) e \( 5.2 \frac{\tan \left(180^{\circ}-x\right) \tan 45^{\circ} \cdot \cos (-x)}{\sin \left(180^{\circ}-x\right)} \)
Trigonometry Feb 21, 2025
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