Question

I need help with number 18 please!

Answer 1

`\text{Hello there!}\\\\\text{In this question, we're trying to find the midpoint}\\\\\text{The coordinates are:}\,\,(-0.5, 1)\,\,(2, -5)\\\\\text{To find the midpoint, we would use the midpoint formula:}\\\\(x1+x2)/(2),\,(y1+y2)/(2)\\\\\text{Plug in the coordinates and solve}\\\\(-0.5+2)/(2),\,\,(1-5)/(2)\\\\(1.5)/(2),\,\,(-4)/(2)\\\\(0.75,-2)\,\,\text{is the midpoint}\\\\\text{I hope this helps!}\\\text{Best regards,}\\\text{MasterInvestor}`

Answer 2

• length: 6.5
• midpoint: (0.75, -2)

Explanation:

The length is given by the distance formula:

d = √((x2 -x1)² +(y2 -y1)²)

d = √((2 -(-1/2))² + (-5-1)²) = √((5/2)² +(-6)²) = √42.25 = 6.5 . . . . exactly

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The midpoint is the average of the endpoints:

M = (A+B)/2 = ((-1/2+2)/2, (1-5)/2) = (3/4, -2)