Answer:
Step-by-step explanation:
i) area of circle =
ii) therefore side of hexagon,
iii) therefore area of hexagon,
iv) difference between the two areas in iii) and i)
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Answer:
The added term needed for that expression to be a square is 9/16.
Step-by-step explanation:
We're provided with two terms, and asked to add an additional term to make this a perfect square. For this to work, the term needs to be a scalar value that is the square of half the coefficient of the second term.
That coefficient is 3/2, so half of that is 3/4, and its square is 9/16.
If we tack that on the end then, we get:
To confirm the answer, let's expand it and see if we get the original expression:
So 9/16ths is the scalar that needs to be added on the end.
Answer:
- WX =
- XY =
- WY =
- Classify: Isosceles
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Explanation:
Apply the distance formula to find the length of segment WX
W = (x1,y1) = (-10,4)
X = (x2,y2) = (-3, -1)
Segment WX is exactly units long which approximates to roughly 8.6023253
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Now let's find the length of segment XY
X = (x1,y1) = (-3, -1)
Y = (x2,y2) = (-5, 11)
Segment XY is exactly units long which approximates to 12.1655251
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Lastly, let's find the length of segment WY
W = (x1,y1) = (-10,4)
Y = (x2,y2) = (-5, 11)
We see that segment WY is the same length as WX.
Because we have exactly two sides of the same length, this means triangle WXY is isosceles.