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Rudiy27
2 years ago
12

two speedboats leave the dock at the same time and travel in opposite directions. one travels 9 mi/hr faster than the other. Aft

er 2 hr the boats are 170 mi apart. How fast is each boat travelling ?
Mathematics
1 answer:
Likurg_2 [28]2 years ago
6 0

Answer: \frac{170}{X}+\frac{170}{X-9}=2

(=)17 0x +170x+1530=2x²+18x

(=)-2 x² +322x+1530=0

Δ=b²-4ac

Δ=115924

\sqrt{}Δ=340,476>0

because Δ>0 so that 2 X

=>x₁=2 (true), x₂=-161(false)

X+9= 2+9=11

first travel 2 mi/hr

second travel 11 mi/hr

Step-by-step explanation:

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Answer:

m<TSU = 65

Step-by-step explanation:

As one can see, the measure of angle (RST) is (90) degrees. This is indicated by the box around the angle. As a general rule, when there is a box around an angle, the angle measure if (90) degrees. It is also given that the measure of angle (RSU) is (25) degrees. As per the given diagram, the sum of the measures of angles (RSU) and (UST) is (RST). Therefore, one can form an equation and solve for the measure of angle (UST).

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