Step-by-step explanation:
T = k * sqrt(d), where k is a real constant.
When d = 6, T = 5.
k = T / sqrt(d) = 5 / sqrt6.
Therefore when d = 3, T = (5 / sqrt6) * sqrt3 = 3.53.
Answer:
x = 3
Step-by-step explanation:
2x + 12 = 18
2x = 18-12
2x = 6
x = 3
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Answer:
1
Step-by-step explanation:
There can be 0, 1 or infinitely many solutions. 0 if they are parallel and are different lines, 1 if the slopes are different, and infinitely many if they are the same line.
2x - 4y = 8
x + y = 7
Change to y = mx + b
y = (1/2)x - 2
y = -x + 7
The slopes are different so there is 1 solution.
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We know:x^2+y^2+x−6y+9=0So, we complete the square as such:x^2+y^2+x−6y+9=x^2+x+y^2−6y+9=(x+1/2)^2+(y−3)^2=(1/2)^2=1/4