bearing in mind that an absolute value expression is in effect a piece-wise expression, because it has a ± version.
![\bf 3|x|+7=28\implies 3|x|=21\implies |x|=\cfrac{21}{3}\implies |x|=7\implies \begin{cases} +(x)=7\\ -(x)=7 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ +(x)=7\implies \boxed{x=7}~\hfill -x=7\implies \boxed{x=-7}](https://tex.z-dn.net/?f=%20%5Cbf%203%7Cx%7C%2B7%3D28%5Cimplies%203%7Cx%7C%3D21%5Cimplies%20%7Cx%7C%3D%5Ccfrac%7B21%7D%7B3%7D%5Cimplies%20%7Cx%7C%3D7%5Cimplies%20%20%5Cbegin%7Bcases%7D%20%2B%28x%29%3D7%5C%5C%20-%28x%29%3D7%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%2B%28x%29%3D7%5Cimplies%20%5Cboxed%7Bx%3D7%7D~%5Chfill%20%20-x%3D7%5Cimplies%20%5Cboxed%7Bx%3D-7%7D%20)
Answer:
D or A
Step-by-step explanation:
Hope this helps
Step-by-step explanation:
by Pythagoras theorem:
perpendicular² + base²= hypotenuse²
(1/√2)²+ (1/√3)² = H²
1/2+1/3= H²
5/6 = H²
√(5/6 )= H
√5/√6 = H
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hope this will be helpful to you
Answer:
26
Step-by-step explanation:
18 - 2^4 * (-0.5)
Calculate 2 to the power of 4 and get 16.
18−16(−0.5)
Multiply 16 and −0.5 to get −8.
18−(−8)
The opposite of −8 is 8.
18+8
Add 18 and 8 to get 26.
26