Answer:
y = -3/4x -4
Step-by-step explanation:
3x+4y=-16
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
Subtract 3x from each side
3x -3x+4y=-3x-16
4y = -3x-16
Divide each side by 4
4y/4 = -3x/4 - 16/4
y = -3/4x -4
56x² - 49x + 14 = 7(8x² - 7x +2)
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The greatest common factor of 56, 49, and 14 is 7.
You have 2 apples, get 3 more, and then lose 2 of them.
So, you HAVE 2 apples, and if you get 3 more, you can add it to the 2.

In total at the moment, you have 5 apples. Now, you lose 2 more. We can subtract that from our total number of apples.

We now know that you are left with
3 apples.
Answer:
12.7m
Step-by-step explanation:
The equation for motion to be used to find how far the water travels is
xf = xi + Vix(t) + 1/2axt^2
xf = 0 + ViCos α(t) + 0
xf = ViCosα(t)
xf = 12 Cos 30°(t)
xf = (6√3)t
To find the total times we will use the vertical displacement equation
yf = yi + Viy(t) + 1/2ayt^2
0 = 0 + ViSinα(t) + (1/2 * (-9.8)t^2)
0 = 12Sin30°(t) - 4.9t^2
4.9t^2 = 12Sin30°(t)
4.9t^2 = 6t
Divide through by t
4.9t = 6
t = 6/4.9
t = 1.22secs
Put t = 1.22 into (6√3)t
xf = 6√3 * 1.22
xf = 12.7m