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:
the answer would be 72
Step-by-step explanation:
Answer:
68
Step-by-step explanation:
204/3 = Avg MPH
Answer:
Slope=3/4
Step-by-step explanation:
1) Label all values with x1 y1, x2 y2
Then, plug jn each value into this equation:y2-y1/x2-x1
Remember that negative values will become positive when dealjng with a subtraction sign.
5-(-1)=5+1.
---------------= 6/8
6-(-2)=6+2
After getting 6/8, simplify by the gcf (2) to get 3/4
Answer:3/4
For this case we have the following situation:
The monthly cost of a gym in the city is $ 3. The initial registration is $ 25. Write a mathematical expression that models the problem.
So we have to define variables:
x: number of months
y: total cost
The mathematical expression that models the problem is: