How to find rapidly the coordinates of Q:
since Q is the center of gravity of the triangle ABC, so we have the following vector relationship
vecQA +vecQB +vecQC =<span>vec0
</span><span>vecQA=(x-3, y+2)
</span><span>vecQB=(x-1, y+5)
</span><span>vecQC=(x-7, y+5)
</span><span>vec0=(0, 0)
</span>
so, vecQA +vecQB +vecQC =<span>vec0 is equivalent to
</span>x-3 +x-1+x-7 =0, and y+2+y+5+<span>y+5=0 so 3x-11=0 implies x=11/3
</span><span>and 3y+12=0 implies y=-12/3
finally the </span><span>the coordinates of point Q is (11/3, -4)</span><span>
</span>
Answer:
25
Step-by-step explanation:
You have is circled plus 25 is 5 and 5 multiplied and 5 is a prime number.
According to me the probability is 1/4, because there are 4 possible outcomes when two coins are flipped - TT, TH, HT, HH.
<span>Also, would it matter if the coins are flipped one after other rather than together</span>
Slope intercept means
y=mx+c
the slope of the line is m=(y2-y1)/(x2-x1)=(-3-5)/(1+1)= -4
the equation of the line is
y-5 = -4(x+1)
4x+y-1=0
changing the equation into slope intercept form
y= -4x+1
