Please help me ...........................................

Mathematics

1 answer:

dimulka [17.4K]4 years ago

3 0

Okay. So as you probably know, area is l * w. 10 * 5 is 50, so the original area is 50 square feet. With each side being increased equally, after that is done, the area is 84 square feet. If you know basic multiplication, 12 * 7 is 84. 12 - 10 is 2. 7 - 5 is 2. That number being added is the same for all sides. The amount added to each side is 2 feet.

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So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

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If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

$y=-\frac{4}{7} x+b\\$

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

$y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}$