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SashulF [63]
3 years ago
8

Can someone help me with this math problem? I have no idea where to begin. Solve: |y + 8| ≥ 3

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0
Since y+8 is positive, you don't have to find the absolute value since the absolute value is y+8. all you have to do is find a number that makes the statement true for y. the symbol between next to the 3 asks for a number that is greater or equal to 3. So your answer would be

≥-5
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cos34^o=\frac{8}{a};\ cos34^o\approx0.829\\\\\frac{8}{a}=0.829\to a\approx9.65\\\\9.65-2.5+3.6=10.75\\\\cos11^o=\frac{b}{10.75};\ cos11^o\approx0.981\\\\\frac{b}{10.75}=0.981\to b\approx10.55\\\\10.55-2.1+2.9=11.35\\\\c^2+3.8^2=11.35^2\\\\c^2=11.35^2-3.8^2\\\\c\approx10.69

10.69-3.2=7.49\\\\tan42^o=\frac{d}{7.49};\ tan42^o\approx0.9\\\\\frac{d}{7.49}=0.9\to d\approx6.74\\\\sin37^o=\frac{6.74}{e};\ sin37^o\approx0.602\\\\\frac{6.74}{e}=0.602\to e\approx11.2\\\\11.2+4.3=15.5\\\\sin53^o=\frac{f}{15.5};\ sin53^o\approx0.8\\\\\frac{f}{15.5}=0.8\to f\approx12.4

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3 years ago
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