3 years ago

Complete this table showing the number of shaded triangles in each step and area of each triangle!

1 answer:

5 0

Answer:

Step-by-step explanation:

From the table attached we find,

Number of shaded triangles = 1

Area of each shaded triangle = 256 square inches

Now we can complete the table following the same pattern,

Step number Number of shaded triangles Area of the shaded triangles

0 1 256

1 3 256 × 3 = 768

2 5 256 × 5 = 1280

3 7 256 × 7 = 1792

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Step-by-step explanation:

Because $x^2-c=108$ can be rewritten as $x^2-c-108=0$ , finding the value of c so that x=(+-)12 solves this equation it means to find the value of c so that $(+-)12^2-c-108=0$ .
Because $12^2=(-12)^2=144$ , we must find c so that $144-c-108=0$ .
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To check, replace c=36 in the initial equation, and check it is a solution for x=(+-)12.