We look for the linear function of the table:
y-yo = m (x-xo)
Where,
m = (0-12) / (6-0)
m = (- 12) / (6)
m = -2
(xo, yo) = (0, 12)
Substituting:
y-12 = -2 (x-0)
Rewriting:
y = -2x + 12
Answer:
The slope is -2, and the y-intercept is 12
It would be a rectangle.
Running parallel to the rectangular side would make the cross section the same shape, a rectangle.
1.8mph (distance÷time=rate)
2.5 is half of 5 so multiply by 2 and get 3.6 because 5 hours times 1.8mph = 3.6
On the left we have a 30-60-90 triangle. Find the length of side JL:
Since sin 30 deg = |JL| / ( 8sqrt(2) ), |JL| = 8 sqrt(2)*(1/2) = 4 sqrt(2).
Now, on the right, we have a 45-45-90 triangle with hypotenuse 4 sqrt(2).
Since c^2 = a^2 + b^2 (Pyth. Theorem), 16(2) = x^2 + x^2, or 32 = 2x^2, or 16 = x^2. Thus, x = 4 (answer)
