Answer:
<h3>x = -2</h3>
Step-by-step explanation:
![3[-x + (2 x + 1)] = x -1\\\\\mathrm{Expand\:}3\left(-x+\left(2x+1\right)\right):\quad 3x+3\\3x+3=x-1\\](https://tex.z-dn.net/?f=3%5B-x%20%2B%20%282%20x%20%2B%201%29%5D%20%3D%20x%20-1%5C%5C%5C%5C%5Cmathrm%7BExpand%5C%3A%7D3%5Cleft%28-x%2B%5Cleft%282x%2B1%5Cright%29%5Cright%29%3A%5Cquad%203x%2B3%5C%5C3x%2B3%3Dx-1%5C%5C)
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Answer:
Midpoint (-2,4)
distance nearest tenth = 8.9
The approximate distance = 9
Step-by-step explanation:
Formulas
PQ midpoint = (x2 + x1)/2, (y2 + y1)/2
distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = -4
x1 = 0
y2 = 1
y1 = 7
Solution
M(PQ) = (-4+0)/2, (1 + 7)/2
M(PQ) = -2, 4
The midpoint is -2,4
The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )
The distance = sqrt(16 + 64)
The distance = sqrt(80)
The distance = 4√5 exactly
The distance = 8.94
The distance = 8.9 To the nearest tenth
Question 2
The distance is rounded to the nearest whole number which is 9.
The answer is 3. Divide 5375 by 4 to get 1343.75. Remainder for each friend is .75, so multiply .75 by 4. 3 cards left over.
The correct answer is y=-2
I hope this helps :)