Distance between the two cities:
453 - 333 = 120 miles.
Rest area is 2/3 of the way:
120 x 2/3 = 240/3 = 80 miles.
Divide the miles to the rest stop by his speed:
80 miles/ 60 miles per hour = 1 and 1/3 hours as a fraction. 1.3333 as a decimal( round as needed.
( 1 hour and 20 minutes)
Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6
Step-by-step explanation:
Given equation of line is:

The coefficient of x is the slope of the line so the slope of given line is: -0.75
As parallel lines have equal slopes so the required equation of line will have the same slope.
The slope-intercept form is:

Putting the value of the slope

To find the value of b, putting the point in the equation

Putting the values of m and b, we get

Hence,
Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6
Keywords: Equation of line, Slope-intercept form
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I took the test. Here's the right answer
How is this problem laid out
Using the law of cosines and sines, the measure of angle B is: 38.4°.
<h3>What is the Law of Cosines and Sines?</h3>
Law of cosines is: c = √[a² + b² ﹣ 2ab(cos C)]
Law of sines is: sin A/a = sin B/b = sin C/c
Use the law of cosines to find c:
c = √[12² + 18² ﹣ 2(12)(18)(cos 117)]
c ≈ 25.8
Use the law of sines to find angle B:
sin B/b = sin C/c
sin B/18 = sin 117/25.8
sin B = (sin 117 × 18)/25.8
sin B = 0.6216
B = sin^(-1)(0.6216)
B = 38.4°
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