Senior-secondary mathematics task 129: Enter the dot product of vectors (4,3) and (4,6).
The dot product is 4×4+3×6=34.
Practice china-gaokao-mathematics questions with answers and explanations.
The dot product is 4×4+3×6=34.
Rewrite the value using base 5: 3125 = 5^5. Matching exponents gives x = 5.
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Use the circle-area formula A = πr². Substituting r = 5 gives A = π × 5² = 25π.
Percentage=(6/31)×100=19.35.
Subtract 6 from both sides and divide by 7: x = (20-6)/7 = 2.
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There are 3 favourable outcomes out of 11 equally likely outcomes, so P(red)=3/11.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
f′(x)=6x²+12x. Substituting x=4 gives 144.
An antiderivative is 3/2 x²+1x. At x=4, the value is 28.0.
The dot product is 3×3+2×5=19.
Rewrite the value using base 4: 256 = 4^4. Matching exponents gives x = 4.
Choose an option to check your answer.
Use the circle-area formula A = πr². Substituting r = 4 gives A = π × 4² = 16π.