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-BARSIC- [3]
3 years ago
12

The square of the sum of a number and 4 is 36

Mathematics
1 answer:
almond37 [142]3 years ago
7 0

n-the\ number\\\\\text{The equation:}\\\\(n+4)^2=36\iff n+4=\pm\sqrt{36}\\\\n+4=-6\ or\ n+4=6\qquad\text{subtract 4 from both sides}\\\\\boxed{n=-10\ or\ n=2}

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In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=54°, and RS = 26 feet. Find the length of QR to the nearest tenth of a foot
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SOH-CAH-TOA

sin Q     =    <u>Opposite</u>     =    <u>26</u>

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\vec{a}=\langle -46, b, 10\rangle\\ \\\vec{b}=\langle b,b^2,b\rangle

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Note, then if b = 0, then \vec{b}=\langle 0,0,0\rangle and zero-vector is orthogonal to any other vectors.

Thus, b = 6 or b = -6.

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