We can find the midpoint of any line segment using the midpoint formula: M=(x1+x2/2,y1+y2/2). Essentially, the midpoint formula finds the average of two points. If we use B and the first point and C as the second, when we plug in our values we would have M=(5-4/2,9-5/2). This can be simplified to M=(1/2,4/2) or M=(1/2,2) which is the final answer.
<span>I hope this helps.</span>
<span>y=x^2+5x+6
y=4x+12
Solution = (-3,0) and (2,20)
</span><span>y=x^2-3x-1
y=8x-1
Solution = (0,-1) and (11,87)</span>
Answer:
b)0, yes
Step-by-step explanation:
Given:
Vectors (4,8) . (6,-3)
Finding inner product of vectors:
= 4x6 + 8x-3
=24-24
=0
Now to check the angle between them using formula a.b=|a|.|b|cosθ
|a|= 
=8.9
|b|=
=6.7
Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,
0= 8.9(6.7)cosθ
cosθ =0
θ=90 degrees
Hence the two vectors are perpendicular !
F ( x ) = x + 4
x = 3 p
f ( 3 p ) = 3 p + 4
Answer. D )
The ordered pair is:
( x, y ) = ( 3 p, 3 p + 4 )
Thank you.
