Let z = 3x+2. Then, by substitution, your equation is
.. z^2 +7z -8 = 0
_____
This equation can be factored as
.. (z +8)(z -1) = 0
.. x = -8 or +1
Then
.. 3x +2 = -8 or +1
.. 3x = -10 or -1
.. x = -10/3 or -1/3
First, coordinate Q is (-5,2) and Q' is (6,2). First, we know that this is a horizontal reflection becuase only the x-values change. This means that the line of reflection will be x=some value. I think the best way to go about this is to find the midpoint of Q and Q' using the formula: M=(x1+x2/2,y1+y2/2)
Q is the first point and Q' is the second point
M=(-5+6/2,2+2/2)
M=(1/2,4/2)
M=(1/2,2)
Since we know the y-values of Q, Q', and the midpoints are all 2, then the line of reflection would be x=1/2
Hope this helps
Answer:
The measure of arc HD is 20°
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
In the triangle of the figure , the measure of the third interior angle is equal to
180°-92°-38°= 50°
50°=(1/2)[(102+18)°-arc HD]
100°=[120°-arc HD]
arc HD=120°-100°=20°
Answer:
she would probably have have 101.4 oz which is about 6 bottles left over this is of course if those bottles can hold 16.9 oz which is the average water bottle intake(<u><em>you forgot that info</em></u>) maybe put more information for the next problem you decide to ask.
Step-by-step explanation:
your welcome
The sample space for the 3 different music CDs is as follows:
{JPR, JRP, PJR, PRJ, RJP, RPJ}
