Are the side lengths of the squares in Diagram A and Diagram B equivalent? Explain your reasoning?

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

6 0

Answer: Yes they are equivalent square side lengths

Explanation:

Diagram A has a circle with diameter 10 ft, so this is the side length of the square.

For diagram B, count along the bottom row and you'll count out 5 circles each of which have a diameter of 2 feet (double the radius of 1 ft), leading to a total square side length of 2*5 = 10 ft.

Both squares have a side length of 10 feet.

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Answer:

x-intercept= (3⅓, 0)

y-intercept= (0, 4²⁄₇)

Please see the attached picture for the graph.

Step-by-step explanation:

-9x -7y= -30

Let's simplify the equation by dividing both sides by -1.

9x +7y= 30

x- intercept occurs at y= 0.

When y= 0,

9x +7(0)= 30

9x= 30

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Thus, x- intercept occurs at (3⅓, 0).

y-intercept occurs at x= 0.

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9(0) +7y= 30

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Thus, y- intercept occurs at (0, 4²⁄₇).

_____

To graph the equation, draw the x and y axis on a graph paper. Use an appropriate scale to divide the line into equal parts. Next, plot the points (3⅓, 0) and (0, 4²⁄₇). Then, join the two points with a straight line.

Notes:

x- intercept is the point at which the graph cuts through the x- axis. In this case, your x- axis is the horizontal line that runs from left to right of your graph paper. In order for a point to be on this horizontal line, look at the y- axis and notice that it sits at y= 0. The same reason applies for why the y- intercept occurs at x= 0. This has to do with the two axis cutting each other at the point (0,0), resulting in the x and y coordinates of 0 for the y and x intercepts respectively.