You use the distributive property to simplify expressions.
4x+3(2x+1)
2 times 2x is 6x
3 times 1 is 3
4x times 2x is 8x
4x times 1 is 4x
total that is 6x+8x+4x+3=18x+3
Hope it helps!
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Answer:
x = 5
Step-by-step explanation:
The given side is opposite the angle, and the unknown is the hypotenuse. The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(30°) = (5/2)/x
x = (5/2)/sin(30°) = (5/2)/(1/2) = 5/1
x = 5
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<em>Additional comment</em>
In this 30°-60°-90° "special" right triangle, the long leg is √3 times the short leg, so ...
y = (5/2)√3
Answer:
Step-by-step explanation:
The equation for this free fall problem is
where h(t) is the height of the pebble from the ground at any time t. If we are looking for the time it takes the pebble to hit the ground, knowing that at ground level the height is 0, we set the quadratic equal to 0 and solve for t:
and
and
so
t = -8, 8
Since time will never be negative,
t = 8 seconds
You can clearly check, by plotting them, that the points don't lie on a line.
Moreover, they present a descending pattern, until the last point, which comes back up.
This kind of behaviour (descendent and then ascendant) can be modelled by quadratic functions (parabolas)
