3 years ago

Solve (x-5)^2=3 by completing the square

Mathematics

2 answers:

viva [34]3 years ago

7 0

Answer: 25

Step-by-step explanation:

vfiekz [6]3 years ago

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Isolate the variable by dividing each side by factors that don't contain the variable.

X = 13/2

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[20 pts] evaluate the logarithm log(6)1/36, show work pls!

Delvig [45]

Answer:

$\large\boxed{\log_6\dfrac{1}{36}=-2}$

Step-by-step explanation:

$\text{We know:}\\\\\log_ab=c\iff a^c=b\\\\\log_6\dfrac{1}{36}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\=\log_636^{-1}=\log_6(6^2)^{-1}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\log_66^{(2)(-1)}=\log_66^{-2}\qquad\text{use}\log_ab^n=n\log_ab\\\\=-2\log_66\qquad\text{use}\ \log_aa=1\\\\=-2(1)=-2$

$\log_6\dfrac{1}{36}=-2\ \text{because}\ 6^{-2}=\dfrac{1}{6^2}=\dfrac{1}{36}$

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3 years ago

Solve for b the problem is a=1/3BH

egoroff_w [7]

A = 1/3 * b * h....divide both sides by 1/3h
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