is tangent to 
at point B. If the length of radius of 
is r, AC = 1, and AB = 3, write an equation that involves r.
What will be an ideal response?
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Answer the question.You are hiking on a mountainside, following a trail that slopes downward for a short distance and then begins to climb again. At the bottom of this local "dip", what can be said about the relationship between the trail's direction and the contour of the mountainside? [Hint - Think of the trail as a constrained path, g(x, y) = c, on the mountainside's surface, altitude = f(x, y). Consider only infinitesimal displacements.]
A. At the bottom of the dip, the trail is headed in the direction of the mountain's steepest ascent. B. The mountainside rises in all directions relative to the dip. C. At the bottom of the dip, the trail is headed perpendicular to the mountain's contour line which passes through that point. D. At the bottom of the dip, the trail is headed along the mountain's contour line which passes through that point.
Solve the equation.
- 
= 
A. -7
B. 7
C. 14
D. 
Find the product.10x4(-8x6 - 7x3)
A. -80x10 - 7x3 B. -150x4 C. -80x10 - 70x7 D. -150x10 - 150x7
Use a proportion to solve the application.To determine the number of fish in a lake, researchers caught and tagged 260 of them. In a later sample of 72 fish, the researchers found that 30 were tagged. Estimate the total number of fish in the lake.
A. 8 fish B. 561,600 fish C. 108 fish D. 624 fish