<span>Northwest is 45 degrees north of west. If a car travels a distance x miles northwest, its northerly component gains x/sqrt(2) miles and its easterly component LOSES xsqrt(2)/ miles.
Resultant height is h = 4500 + 100x/sqrt(2) - 75x/sqrt(2) = [25/sqrt(2)]x + 4500
dh/dt = [25/sqrt(2)]dx/dt = [25/sqrt(2)]v </span>
4 3/8
Convert to improper fractions first:
15/8 x 7/3
Cross- cancel common factor (3):
5/8 x7/1
Multiply fractions:
5x7 / 8x1
Solve:
35/8
Simplify:
4 3/8
Because k is constant, we can find it by multiplying the x-coordinate by the y-coordinate. If y varies inversely as x and x = 5 when y = 2, the constant of variation is k = xy = 5(2) = 10.
Simply solve for x:
-x^2 + 9 = 0 => x = 3 and x = -3;
plug x = 3 and x = -3 into the original equation you get 3 = 3 and -9 = -9, respectively;
So, the two intersecting points are (-3, -9), (3, 3).
And of course, the parabola opens down since its square term is minus.
Answer:
false
Step-by-step explanation:
(0,8) is on the line, not (8,0) :)