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damaskus [11]
3 years ago
13

A cardboard of length 15cm and breadth 12cm is to be cut into squares of equal sizes with no paper left over. What is the length

of side of the largest square possible?
Mathematics
1 answer:
Andrews [41]3 years ago
5 0

9514 1404 393

Answer:

  3 cm

Step-by-step explanation:

The largest possible square will have a dimension that is the greatest common factor of 12 and 15. That number is 3.

The largest square is 3 cm.

__

The paper will be cut into 5 squares lengthwise and 4 squares across.

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Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).
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Answer:

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Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

<u>1) Determine the slope</u>

m=\frac{y_2-y_1}{x_2-x_1} where the two given points are (x_1,y_1) and (x_2,y_2)

Plug in the given points (-1, 4) and (0, 2)

=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2

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<u>2) Determine the y-intercept</u>

y=-2x+b

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One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

y=-2x+2

I hope this helps!

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