Answer:
x = -3 and x = 17
Step-by-step explanation:
x² - 51 = 14x
x² - 14x - 51 = 0
(x + 3)(x - 17) = 0
x = -3 and x = 17
Since Emily is walking at a constant speed, we can solve this using proportions, equating ratios of distance/time.
The first ratio is 3/4 miles/1/4 hour
The second ratio is 1 mile/ x hour
Equating the two ratios: 3/4 / 1/4 = 1/x
3 = 1/x
x = 1/3 hour
Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.
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