Answer:
DM = 12
Step-by-step explanation:
I'm not very good with explaining but since MB is 12, vertex to the centroid which is M is 2/3 of the median, which is the line. So, since 12 is the 2/3 of the median, then DM would also be 12, since it's from vertex to centroid. Hope this helped.
Given equation is :
=0
Taking out
common we get,
=0
Now solving this we get,
As 11 is not factor-able, we will solve it using the formula,

a=1 b=5 and c=-11
we get,
and 
Answer:
To get the x-intercept we need the equation of the parabola;
the vertex form of the equation is given by:
y=a(x-h)^2+k
where:
(2,13) is the vertex:
Therefore;
y=a(x-2)^2+13
when x=0, y=5
Therefore the value of a will be:
5=a(0-2)^2+13
5-13=4a
4a=-8
a=-2
therefore the equation of the parabola will be:
y=-2(x-2)^2+13
y=-2x^2+8x+5
the x-intercept will be:
x=2-sqrt(7.5)
or
x=2+sqrt(7.5)
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
4+1.5x≤25
1.5x≤21
x≤14
The greatest number of rides is 14.
Answer:
x = 48°
Step-by-step explanation:
x + x + 84° = 180°
2x = 180° - 84°
2x = 96°
x = 96°/2
x = 48°