Answer:
11y + 1z
Step-by-step explanation:
Like terms are ones that have the same variable (or set of variables).
8y - 4z + 3y + 5z
= (8 +3)y +(-4 +5)z
= 11y +1z
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Usually written as 11y+z.
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
