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3 years ago

What are the lengths of line segments AB and BC?

Mathematics

2 answers:

Natalka [10]3 years ago

7 0

Answer:

AB = 10 and BC = 28

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, thus

AB = DC, that is

3y - 2 = y + 6 ( subtract y from both sides )

2y - 2 = 6 ( add 2 to both sides )

2y = 8 ( divide both sides by 2 )

y = 4

Hence AB = 3y - 2 = (3 × 4) - 2 = 12 - 2 = 10

And

AD = BC, that is

2x - 4 = x + 12 ( subtract x from both sides )

x - 4 = 12 ( add 4 to both sides )

x = 16

Hence BC = x + 12 = 16 + 12 = 28

Gnesinka [82]3 years ago

3 0

Answer:

AB = 10; BC = 28

Step-by-step explanation:

Just took the quiz <3

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a. Calculate the volume of the solid of revolution created by rotating the curve y = 3 + 3 exp(-5 x) about the x-axis, for x bet

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A) The volume of solid is 18π cubic unit.

B) The volume of sphere is $\dfrac{4}{3}\pi r^3$

a = -r , b = r , $f(x)=\sqrt{r^2-x^2}$ and $V=\dfrac{4}{3}\pi r^3$

Solution A)

The given curve, $y=3+3e^{-5x}$ rotate about x-axis between 2 to 4.

Please find attachment for solid figure or rotation.

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Solution B)

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