You start driving north for 32 miles, turn right, and drive east for another 24 miles.
1 answer:
Answer:
40 miles
Step-by-step explanation:
You can recognize the right triangle as a 3-4-5 right triangle with a scale factor of 8. So the length of the hypotenuse is 8·5 = 40 miles.
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Or, you can use the Pythagorean Theorem, which tells you that the sum of the squares of the leg distances will equal the square of the straight-line (hypotenuse) distance:
32² + 24² = h²
1024 +576 = h² = 1600
h = √1600 = 40 . . . . miles
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x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64
Step-by-step explanation:
We shall expand the brackets;
(x + 2)^6
x⁶ + x⁵2 + x⁴2² + x³2³ + x²2⁴ + x2⁵ + 2⁶
x⁶ + 2x⁵ + 4x⁴ + 8x³ + 16x² + 32x + 64
We shall then use Pascal’s triangle to fit in the coefficients;
(1) x⁶ + (6) 2x⁵ + (15) 4x⁴ + (20) 8x³ + (15) 16x² + (6) 32x + (1) 64
x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64
