X + y = 9 Subtract x from both sides.
y = 9 - x
x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x = 2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2
-1 will be your answer
rise over run
3-1 = 2
-4 + 1 = -3
2-1 = 1
-3 + 1 = -2
hope this helps
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Answer:
12 square cm correct to 2 significant figures
Step-by-step explanation:
Area of a Rectangle = L X B = 2.1 X 5.6 = 11.76 square cm
To round your result to 2 significant figure, we start counting from the left from the first non-zero digit.
The first two digits are 11 but because the number after is 7 (greater than 4), we round up to 12.
11.76 square cm = 12 square cm correct to 2 significant figures
