Question
4.4. Trek 17 van 30 af. (Subtract 17 from 30 ) 4.5. Bepaal die waardes van \( \mathrm{K}, \mathrm{L} \) en M in die volgende patroon (pattern): \( 12: \mathrm{K} ;-2 ;-9 ;-16 ; \mathrm{L}: \mathrm{M} \) 4.6. Die vierkantswortel (square root) van ' M sekere getal is dieselfde as dubbel die vierkant (twice the square) van 2. Wat is die getal? (3) 4.7. Die hoogste opgetekende (highest recorded) temperatuur op Aarde is \( 58^{\circ} \mathrm{C} \) en die laagste opgetekende temperatuur op Aarde is -89 is. Wat is die verskil (difference) tussen die hoogste en laagste temperatuur?
Ask by Mcfarlane Kelly. in South Africa
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
**4.4.**
30 - 17 = **13**
**4.5.**
\( K = 5 \), \( L = -23 \), \( M = -30 \)
**4.6.**
Die getal is **64**
**4.7.**
Die verskil is **147°C**
Solution
Hier is die oplossings vir vrae 4.4 t/m 4.7:
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**4.4.** *Trek 17 van 30 af.*
**Oplossing:**
30 - 17 = **13**
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**4.5.** *Bepaal die waardes van \( K, L \) en \( M \) in die volgende patroon:
\( 12: K ; -2 ; -9 ; -16 ; L ; M \)*
**Oplossing:**
Ons ondersoek die verskuiwings tussen opeenvolgende terme:
1. T1: 12
2. T2: \( K \)
3. T3: -2
4. T4: -9
5. T5: -16
6. T6: \( L \)
7. T7: \( M \)
Bereken die verskuiwingen:
- Van 12 na \( K \): \( K - 12 \)
- Van \( K \) na -2: \( -2 - K \)
- Van -2 na -9: \( -7 \)
- Van -9 na -16: \( -7 \)
- Veronderstel dat die verskuiwing konstant bly: Dus van -16 na \( L \) is \( -7 \)
\[ L = -16 - 7 = -23 \]
- Van \( L \) na \( M \) is ook \( -7 \):
\[ M = -23 - 7 = -30 \]
- Terug na die eerste verskuiwing:
Van 12 na \( K \) moet \( -7 \) wees:
\[ K = 12 - 7 = 5 \]
**Antwoord:**
\( K = 5 \), \( L = -23 \), \( M = -30 \)
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**4.6.** *Die vierkantswortel van 'M sekere getal is dieselfde as dubbel die vierkant van 2. Wat is die getal? (3)*
**Oplossing:**
Stel die onbekende getal is \( M \). Volgens die vraag:
\[ \sqrt{M} = 2 \times (2)^2 \]
\[ \sqrt{M} = 2 \times 4 \]
\[ \sqrt{M} = 8 \]
Om \( M \) te vind:
\[ M = 8^2 \]
\[ M = 64 \]
**Antwoord:**
Die getal is **64**.
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**4.7.** *Die hoogste opgetekende temperatuur op Aarde is \( 58^{\circ}C \) en die laagste opgetekende temperatuur is -89. Wat is die verskil tussen die hoogste en laagste temperatuur?*
**Oplossing:**
Bereken die verskil tussen die hoogste en laagste temperature:
\[ 58 - (-89) = 58 + 89 = 147 \]
**Antwoord:**
Die verskil is **147°C**.
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Simplify this solution Mind Expander
As you trek 17 from 30, you land at a cozy 13. It’s like taking a mini-vacation from numbers, where you leave the busy 30 behind and settle for the serene 13. Sometimes we forget to enjoy the journey of subtraction, but remember—each number has its own story! Now, let's decode that pattern! Starting from 12, each number is a magical seven less than the previous one. So K is 12 - 7 = 5, L is 5 - 7 = -2, and M is -2 - 7 = -9. It’s all about keeping track of the rhythm; math can be a dance if you let it! Keep grooving through those numbers!
