We have two points on a plane p1(150, 25000), p2(90, 19000) and we can find a linear equation from them, lets calculate the slope:
m = (y2 - y1)/(x2 - x1)
where x1, y1 and x2, y2 are the point's coordinates:
m = (19000 - 25000)/(90 - 150)
m = -6000/-60
m = 100
so we have the slope now, and we can use the equation of the line for a point and having the slope, that equation is:
y - y1 = m(x - x1)
so we substitute:
y - 25000 = 100(x - 150)
y = 100x + 25000 - 15000
y = 100x + 10000
so this is the linear equation that models the airplane descent, when the airplane hits the ground, then y = 0, and we need to find the x, that is the position in relation to the runway:
<span>0 = 100x + 10000
</span>-100x = 10000
x = -100
Answer:
1/24
Step-by-step explanation:
The probability of the dice landing with a 5 up is 1/6; that of drawing a heart is 13/52, or 1/4.
The joint probability of these two events (events happening simultaneously) is
(1/4)(1/6) = 1/24
Answer:
In total Dan dranked 11/8 of his bottle or as a mixed number 1 and 3/8 of his bottle.
Step-by-step explanation:
M(x, y) = ((x1 + x2)/2, (y1 + y1)/2); where (x1, y1) and (x2, y2) are the coordinates of G and H respectively.
M(4, 3) = ((5 + x2)/2, (-6 + y2)/2)
(5 + x2)/2 = 4 and (-6 + y2)/2 = 3
5 + x2 = 4 * 2 = 8 and -6 + y2 = 3 * 2 = 6
x2 = 8 - 5 = 3 and y2 = 6 + 6 = 12
x2 = 3 and y2 = 12
Therefore, the coordinates of H is (3, 12)
Answer:
379.94
Step-by-step explanation:
11 squared is 122
Times 3.14 is 379.94