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gregori [183]
2 years ago
15

MABD = (6x+4) and mDBC = (8x-4)​

Mathematics
1 answer:
professor190 [17]2 years ago
4 0

Answer:

factor( 6x+4)

=6x+4

=2(3x+2)

Step-by-step explanation:

factor (8x_4)

8x_4=4(2x_1)

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  • About the x-axis (washer method):

\displaystyle\pi\int_2^5\left(6^2-\left(\frac43x-\frac23\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(20+x-x^2)\,\mathrm dx=\boxed{56\pi}

  • About the y-axis (shell method):

\displaystyle2\pi\int_2^5x\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5x(5-x)\,\mathrm dx=\boxed{36\pi}

  • About x=7 (shell method):

\displaystyle2\pi\int_2^5(7-x)\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5(35-12x+x^2)\,\mathrm dx=\boxed{48\pi}

  • About y=2 (washer method):

\displaystyle\pi\int_2^5\left((6-2)^2-\left(\frac43x-\frac23-2\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(5+4x-x^2)\,\mathrm dx=\boxed{32\pi}

7 0
3 years ago
Find each of the following using prime
katen-ka-za [31]

Answer:

15

Step-by-step explanation:

The product of the prime factors of 3375 are

3375 = 3³ × 5³, then

\sqrt[3]{3375}

= \sqrt[3]{3^3(5^3)}

= \sqrt[3]{3^3} × \sqrt[3]{5^3}

= 3 × 5

= 15

7 0
3 years ago
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Please help!!! It would help me out
mart [117]

Answer:

All real numbers

Step-by-step explanation:

5 0
3 years ago
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Calculate the slope of a line that passes through the points (9, 3) and (19,-17). ​
Zigmanuir [339]

Answer:

  • -2.6 is the slope.
<h3><u>Step-by-step explanation:</u></h3>
  • Slope = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }
  • => \frac{-17-9}{19 - 9}
  • => -26/10
  • => -2.6
<h3><u>Conclusion:</u></h3>

Therefore, <u>-2.6 is the slope.</u>

Hoped this helped.

BrainiacUser1357

5 0
2 years ago
last Saturday two of the houses were having a party each family invited 9 guests to their house how many guests were in total​
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