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3 years ago

Solve and check: 3 x2 + 5x + 6 + x − 1 x + 2 = 7 x + 3

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

5 0

Answer:

3 $x^{2}$ -2x +5=0

Step-by-step explanation:

Combine liked terms:

3 $x^{2}$ +5x+x-1x+6+2=7x+3

3 $x^{2}$ +6x-1x+8=7x+3

3 $x^{2}$ +5x+8=7x+3

Subtract 3: 3 $x^{2}$ +5x+8-3=7x+3-3

3 $x^{2}$ +5x+5=7x

Now subtract 7x:

3 $x^{2}$ +5x+5-7x=7x-7x

If you want combine liked terms:

3 $x^{2}$ -7x+5x+5=0

3 $x^{2}$ -2x+5=0

Hope this helps!

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3 years ago

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pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

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We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

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$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

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$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

$V=V_c+V_{hs}$

Substitute:

$V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3$

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