Please, in the future, post just one problem at a time.
Looking at Problem #1: The line intersects the y-axis at (0,-3) and intersects the x-axis at (1,-1). At least, this is what I see; your graph is small.
-3-[-1]
The slope of that line is then m = rise / run = ------------ = +2.
0 - 1
[change in y]
Slope = m = rise / run = --------------------
[change in x]
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Define length and width
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Let the width be x
Width = x
Length = 3x
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Form equation and solve for x
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x(3x) = 48
3x² = 48
x² = 48 ÷ 3
x² = 16
x = √16
x = 4
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Find length and width
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Width = x = 4
Length = 3x = 3(4) = 12
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Answer: Width = 4cm, Length = 12cm
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The greatest common factor of 8x and 22yx is 2x.
I got this answer by factoring out 8 and 22:
8: 1,2,4,8
22: 1,2,11,22
Their greatest common factor was 2 and they both have x.
Your answer is 2x.
Hope this helped! :)
