<span>From the statement select the related given statement. If B is between A and C, then AB + BC = AC
answer
</span><span>C.) Point B is between points A and C.</span>
60 = a * (-30)^2
a = 1/15
So y = (1/15)x^2
abc)
The derivative of this function is 2x/15. This is the slope of a tangent at that point.
If Linda lets go at some point along the parabola with coordinates (t, t^2 / 15), then she will travel along a line that was TANGENT to the parabola at that point.
Since that line has slope 2t/15, we can determine equation of line using point-slope formula:
y = m(x-x0) + y0
y = 2t/15 * (x - t) + (1/15)t^2
Plug in the x-coordinate "t" that was given for any point.
d)
We are looking for some x-coordinate "t" of a point on the parabola that holds the tangent line that passes through the dock at point (30, 30).
So, use our equation for a general tangent picked at point (t, t^2 / 15):
y = 2t/15 * (x - t) + (1/15)t^2
And plug in the condition that it must satisfy x=30, y=30.
30 = 2t/15 * (30 - t) + (1/15)t^2
t = 30 ± 2√15 = 8.79 or 51.21
The larger solution does in fact work for a tangent that passes through the dock, but it's not important for us because she would have to travel in reverse to get to the dock from that point.
So the only solution is she needs to let go x = 8.79 m east and y = 5.15 m north of the vertex.
Here , the ratio <em><u>UV:</u></em><em><u>VW</u></em> and <em><u>UT:TS</u></em> will be in proportion , so ;
Putting the given values ;
Answer:
Supplementary Angles
x = 62
Step-by-step explanation:
Supplementary angles equal 180.
180 - 118 = 62
I hope this helps!
Our missing number we are solving for is X.
We are told x will equal 2x (number doubled) plus -16.
x = 2x + -16 We want to move the smaller variable to the right to sit with the larger one and move the -16 to the left by subtracting it from both sides. Remember that subtracting a negative is the same as adding it. So essentially we add 16 to both sides.
16 = 2x - x Combine the variables
16 = x or x = 16
I chose to put the variable on the left in this problem to avoid having a -x on the left side. It doesn't matter which side the variable is on to solve, but when you state it - we usually say x = 16.
