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nalin [4]
3 years ago
10

6n2 - 5n2 + 7n2 simplify the expresion and show work

Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0
This is just combining like terms.....
6n2 - 5n2 + 7n2
n2 + 7n2
=8n2
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The cone shown has a volume of 12π in3. Find the volume of a cylinder with the same base and height as the cone.
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I think the answer is B
5 0
2 years ago
Type the correct answer for each.
xxTIMURxx [149]
If point \left(x,\ \frac{\sqrt{7}}{3}\right) is on the unit ircle, then:

x^2+\left( \frac{ \sqrt{7} }{3} \right)^2=1 \\  \\ \Rightarrow x^2+ \frac{7}{9} =1 \\  \\ \Rightarrow x^2=1- \frac{7}{9} = \frac{2}{9}  \\  \\ \Rightarrow x= \sqrt{ \frac{2}{9} } = \frac{ \sqrt{2} }{3}

Since, the point is in the second quadrant, x is negative.

Thus, (x,\ y)=\left(x,\ \frac{\sqrt{7}}{3}\right)=\left(-\frac{ \sqrt{2} }{3},\ \frac{\sqrt{7}}{3}\right)

Part A:

3 \sqrt{7} =6\left( \frac{ \sqrt{7} }{2} \right) \\  \\ =6\left( \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \right) \\  \\ =6\left( \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } \right)=-6\left( \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } \right) \\  \\ =-6\left( \frac{y}{x} \right)=-6\tan\theta

Therefore, -6\tan\theta=3\sqrt{7}.



Part B:

- \frac{ \sqrt{7} }{2} =- \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} }  \\ \\ =- \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } = \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } = \frac{y}{x}  \\  \\ =\tan\theta

Therefore, \tan\theta=- \frac{ \sqrt{7} }{2}
8 0
3 years ago
Use the quadratic formula to solve the following quadratic equation.
irina1246 [14]

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2 years ago
Which number comes next in this series: 2, 3, 4, 8, 9, 10, 20, 21, 22,?
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The pattern is +1,+1,x2
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3 years ago
a 2-yard By 3-yard plot of land has an area of 6 square yards. what is the area in square feet. hint convert the original measur
ehidna [41]
1 yard = 3 feet 
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area= L(W) 

6(9)= 54 square ft
The plot of land has an area of 54 square feet. 


8 0
3 years ago
Read 2 more answers
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