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3 years ago

8

How you use the Pythagorean theorem in 3D.

1 answer:

Olin [163]3 years ago

4 0

Answer:

If the base of the prism has dimensions x and y, and the diagonal along the base is represented by c, then x² + y² = c². The longest diagonal in the solid, s, is the hypotenuse of the triangle formed by the sides c and the height of the solid, z. So we know that, c² + z² = s².

Step-by-step explanation:

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EXPLANATION:

To get the solution of the simultaneous equation, using the elimination method:

We will have the following steps:

Step 1:

Write the two equations:

$\begin{gathered} y=-\frac{1}{2}x+3 \\ y=-\frac{7}{2}x-3 \end{gathered}$

Step2: Subtract the two equations:

$\begin{gathered} y-y=-\frac{1}{2}x-(-\frac{7}{2}x)+3-(-3) \\ 0=-\frac{1}{2}x+\frac{7}{2}x+6 \\ \end{gathered}$

Step 3: Simplify the expression

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Step 4: Substitute x=-2 into the formula:

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Therefore, the answer is

$(-2,4)$

Thus,

Option B is correct

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