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lara [203]
3 years ago
10

Theodora drove on the blue ridge parkway at 40 mph and then on the interstate highway at 70 mph. She drove three times as long o

n the blue ridge parkway as she did on the interstate. If she drove a total of 285 mi, for how long did she drive on the interstate?
Mathematics
1 answer:
klasskru [66]3 years ago
6 0
3x × 40+ x × 70 = 285
120x + 70x = 285
190x = 285
x = 285/190
x = 1.5
Theodory traveled at the interstate for 1.5 hours
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Answer:

f ( -2 ) = 30

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Step-by-step explanation:

when it says f(x) and then has f(-2) - you fill in all x's in the equation with -2.. like this:

f(x) = -7(-2-2) +2                         g(x) = 2(-2)^2 -5

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3 years ago
Suppose theta is an angle in the standard position whose terminal side is in quadrant 4 and cot theta = -6/7. find the exact val
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\bf tan(\theta)=\cfrac{\stackrel{opposite}{-7}}{\stackrel{adjacent}{6}} ~\hfill csc(\theta)=\cfrac{\stackrel{hypotenuse}{\sqrt{85}}}{\stackrel{opposite}{-7}} ~\hfill sec(\theta)=\cfrac{\stackrel{hypotenuse}{\sqrt{85}}}{\stackrel{adjacent}{6}} \\\\\\ sin(\theta)=\cfrac{\stackrel{opposite}{-7}}{\stackrel{hypotenuse}{\sqrt{85}}}\implies \stackrel{\textit{and rationalizing the denominator}}{sin(\theta)=\cfrac{-7}{\sqrt{85}}\cdot \cfrac{\sqrt{85}}{\sqrt{85}}\implies sin(\theta)=-\cfrac{7\sqrt{85}}{85}}

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