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Georgia [21]
3 years ago
10

A woman is plotting out a garden bed. She measures the diagonals of the bed and finds that one is 22 ft long and the other is 23

ft long. Could the garden bed be a rectangle? Explain.
Mathematics
1 answer:
castortr0y [4]3 years ago
6 0

Answer:

No, rectangles must have congruent diagonals.

Step-by-step explanation:

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Results of a poll stated that 40% of U.S. adults identify as Republican, and you want to test the claim at alpha = 0.05. What le
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Answer:

The confidence level is 95% or 0.95.

Step-by-step explanation:

Consider the provided information.

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\bf \begin{cases} x=3\implies &x-3=0\\ x=1+3i\implies &x-1-3i=0\\ x=1-3i\implies &x-1+3i=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ (x-3)(x-1-3i)(x-1+3i)=0 \\\\\\ (x-3)\underset{\textit{difference of squares}}{([x-1]-3i)([x-1]+3i)}=0\implies (x-3)([x-1]^2-[3i]^2)=0 \\\\\\ (x-3)([x^2-2x+1]-[3^2i^2])=0\implies (x-3)([x^2-2x+1]-[9(-1)])=0

[ correction added, Thanks to @stef68 ]

\bf (x-3)([x^2-2x+1]+9)=0\implies (x-3)(x^2-2x+10)=0 \\\\\\ x^3-2x^2+10x-3x^2+6x-30=0\implies x^3-5x^2+16x-30=f(x) \\\\\\ \stackrel{\textit{applying a translation with a -2f(x)}}{-2(x^3-5x^2+16x-30)=f(x)}\implies -2x^3+10x^2-32x+60=f(x)

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3 years ago
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