First lets work out the length of the top side which joins the points (-1,7) and (-5,5):-
this = sqrt ( (7-5)^2 + (-1 - (-5)^2 )
= sqrt (4 + 16)
= sqrt 20
Now find length of the longer side which is distance between the points (-1,7) and (4, -3)
this is sqrt ( (-1 - 4)^2 + (7 - -3)^2)
= sqrt 125
Area of the rectangle = sqrt 20 * sqrt 125
= sqrt 2500
= 50 units^2 Answer
Based on given conditions,
Now collecting the coefficients and adding them,
Hence, the <u>6</u><u>a</u><u>²</u><u>b</u><u> </u><u>+</u><u> </u><u>1</u><u>2</u><u>a</u><u>b</u> should be added.
4b + 6 = 2 - b + 4
Combine like terms on the right side:
4b + 6 = -b + 6
Subtract 6 from both sides:
4b = -b
Add 1b to both sides:
5b = 0
Divide both sides by 5:
B = 0
m is less than or equal to 4
X does not equal one but there is 1x in the problem so it is 1.
So.. to complete the square you always take 1/2 of that number.
so
half of 1 is 1/2.
Then you square that number 1/2 * 1/2 = 1/4
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