Find the approximate slope of the line that contains the two given points. Round your result to the second decimal place. State whether the line is increasing, decreasing, horizontal, or vertical.(-7.6, 4.6) and (-6.6, -7.8)

A. -12.40; increasing
B. 12.40; increasing
C. -12.40; decreasing
D. -0.08; decreasing


Answer: C

Mathematics

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Perform the indicated operation.3(4x2 + 2x - 7) - 4(2x2 - 5x + 3)

A. 4x2 - 3x - 4 B. 4x2 + 26x - 33 C. 4x2 + 26x - 9 D. 4x2 - 14x - 33

Mathematics

Solve the problem. Assume projectile is ideal, launch angle is measured from the horizontal, and launch is over a horizontal surface, unless stated otherwise.Derive the equations  x = x0 + (v0 cos ?)t,   y = y0 + (v0 sin ?)t - gt2by solving the following initial value problem for a vector r in the plane. Differential equation:  = -gj Initial conditions: r(0) = x0i + y0j (0) = v0 cos ?)i + (v0 sin ?)j

What will be an ideal response?

Mathematics

Solve.Racing cyclists use the function  to determine the maximum rate, , in miles per hour, to turn a corner of radius x, in feet, without tipping over. What is the maximum rate a cyclist should travel around a corner of radius 38 feet without tipping over? Leave the solution in simplified radical form.

A. 24 +  mph
B. 24 mph
C.  mph
D. 4 mph

Mathematics

Solve.Last night the temperature dropped to -8°F. At dawn the temperature had risen  Write the math symbols that represent the situation. At dawn, what was the temperature?

A. 8°F + 18°F = 26°F B. 8°F - 18°F = -10°F C. -8°F + 18°F = 10°F D. -8°F - 18°F = -26°F

Mathematics