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Nataly [62]
3 years ago
14

What is the answer please

Mathematics
1 answer:
ZanzabumX [31]3 years ago
3 0

Answer:

centre

Step-by-step explanation:

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2logx=3-2log(x+3) solve for x​
AVprozaik [17]

Answer:

\large\boxed{x=\dfrac{-3+\sqrt{40+10\sqrt{10}}}{2}}

Step-by-step explanation:

2\log x=3-2\log(x+3)\\\\Domain:\ x>0\ \wedge\ x+3>0\to x>-3\\\\D:x>0\\============================\\2\log x=3-2\log(x+3)\qquad\text{add}\ 2\log(x+3)\ \text{to both sides}\\\\2\log x+2\log(x+3)=3\qquad\text{divide both sides by 2}\\\\\log x+\log(x+3)=\dfrac{3}{2}\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log\bigg(x(x+3)\bigg)=\dfrac{3}{2}\qquad\text{use the de}\text{finition of a logarithm}\\\\x(x+3)=10^\frac{3}{2}\qquad\text{use the distributive property}

x^2+3x=10^{1\frac{1}{2}}\\\\x^2+3x=10^{1+\frac{1}{2}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\x^2+3x=10\cdot10^\frac{1}{2}\qquad\text{use}\ \sqrt[n]{a}=a^\frac{1}{n}\\\\x^2+3x=10\sqrt{10}\qquad\text{subtract}\ 10\sqrt{10}\ \text{from both sides}\\\\x^2+3x-10\sqrt{10}=0\\\\\text{Use the quadratic formula}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=3,\ c=-10\sqrt{10}\\\\b^2-4ac=3^2-4(1)(-10\sqrt{10})=9+40\sqrt{10}\\\\x=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2(1)}=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2}\\\\x=\dfrac{-3-\sqrt{10+10\sqrt{10}}}{2}\notin D

6 0
3 years ago
Which triangles are similar?​
Rainbow [258]

Answer:

triangle a and b

Step-by-step explanation:

because its common knowledge

7 0
3 years ago
Add. Express your answer in simplest mixed-number form. <br><br> 2 3/4 + 4 3/4
Cerrena [4.2K]
2 3/4 + 4 3/4
= 6 6/4
= 7 2/4
= 7 1/2
5 0
3 years ago
Could someone please help answer this, thank you, will give brainliest, plz no spam (home work help) thanks!
kolezko [41]
A < -12

1/3a < -4
a < -12


Mark brainliest please
5 0
3 years ago
Read 2 more answers
The radius of a sphere is 3 in. What is the sphere's volume? Round to the nearest tenth, if necessary.
Inessa05 [86]
The volume of a sphere is 4/3 pi, times its radius cubed.
To cube the radius you multiply the radius times itself 3 times.
3 x 3 x 3 =27
4/3 pi x 27 = 113.1. 
113.1 rounded to the nearest tenth is the same.


8 0
4 years ago
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