Let the units of the problem be miles and hours. The first plane's distance from point p can be described by
... x = 150 -450t
The second plane's distance from point p can be described by
... y = 200 -450t
Since their flight paths are at right angles, the Pythagorean theorem can be used to describe the distance between them (s).
... s² = x² + y²
... s² = (150 -450t)² + (200 -450t)² = 22500 -135000t +202500t² +40000 -180000t +202500t²
... s² = 40500t² -315000t +62500 = 2500(162t² -126t +25)
... s = 50√(162t² -126t +25)
If you're asking how much you have now...
$4,190 Cash
$2,575 Equity
Answer:
y = -5(x +6) -9
Step-by-step explanation:
The point-slope form of the equation for a line can be written as ...
y = m(x -h) +k
for a line with slope m through point (h, k).
You have m=-5 and (h, k) = (-6, -9). Filling in these values gives ...
y = -5(x -(-6)) -9
Simplifying a bit, you get ...
y = -5(x +6) -9
Answer:
The answer is B. 12 cm
Step-by-step explanation:
ABC is a right triangle
AB and BC are the legs and AC is the hypotenuse.
The Pythagorean theorem a^2 + b^2 = c^2 can be manipulated to solve for a and get 12.