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2 years ago

(2a² – b) (за² + 3b)

Mathematics

1 answer:

nataly862011 [7]2 years ago

6 0

Answer:

a^4+3a^2-3b^2

Step-by-step explanation:

$\hookrightarrow \: (2 {a}^{2} - b)(3 {a}^{2} + 3b) \\ \hookrightarrow \:2 {a}^{2} (3 {a}^{2} + 3b) - b(3 {a}^{2} + 3b) \\ \hookrightarrow \:6 {a}^{4} + 6 {a}^{2} b - 3 {a}^{2} b - 3 {b}^{2} \\ \hookrightarrow \:{a}^{4} + 3 {a}^{2} b- 3 {b}^{2}$

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The total length of wires A, B, and C is 445 cm. Wire A is 45 cm longer than wire B, and wire B is half as long as wire C. How l

drek231 [11]

Answer:

Step-by-step explanation:

total length = 445 cm (A + B + C)

A = 45 + B

B = C/2

find A

A + B + C = AC

(45 + B) + (C/2) + C = 445

45 + C/2 + C/2 + C = 445

2C = 445 - 45

C = 400/2

C = 200

B = 200/2

B = 100

A = 45 + 100

A = 145

proof:

445 = 145 + 100 + 200

445 = 445 ----OK

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3 years ago

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sammy [17]

Answer:

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Step-by-step explanation:

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2 years ago

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Jose has six pieces of cardboard to make a triangle frame for a diorama. The lengths are 2 inches, 3 inches, 4 inches, 5 inches,

mash [69]

6 and 2 I think lol good luck

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3 years ago

In a survey of 1407 adults from country A, 215 said that they were not confident that the food they eat in country A is safe. Th

timurjin [86]

Answer:

(a)0.1528

(b)0.8472

Step-by-step explanation:

215 out of 1407 adults from country A said that they were not confident that the food they eat in country A is safe.

(a)Point estimate for $\hat{p}$

The point estimate for $\hat{p}$ $=\dfrac{215}{1407}=0.1528$

(b)Point estimate for $\hat{q}$

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3 years ago

A triangle with vertices of (0,0), (0,6) and (5,0) is plotted on the coordinate plane. the

abruzzese [7]

Answer:

50π ≈ 157.08 cubic units

Step-by-step explanation:

The volume of revolution of a plane figure is the product of the area of the figure and the length of the path of revolution of the centroid of that area. The centroid of a triangle is 1/3 the distance from each side to the opposite vertex. (It is the intersection of medians.)

<h3>length of centroid path</h3>

One side of this triangle is the axis of revolution. Then the radius to the centroid is 1/3 the x-dimension of the triangle, so is 5/3. Then the circumference of the circle along which the centroid is revolved is ...

C = 2πr

C = 2π(5/3) = 10π/3 . . . units

<h3>triangle area</h3>

The area of the triangle is found using the formula ...

A = 1/2bh

A = 1/2(5)(6) = 15 . . . square units

<h3>volume</h3>

The volume is the product of the area and the path length:

V = AC

V = (15)(10π/3) = 50π . . . cubic units

The volume of the solid is 50π ≈ 157.08 cubic units.

_____

<em>Additional comment</em>

In the attached figure, the point labeled D is the centroid of the triangle. The label has no significance other than being the next after A, B, C were used to label the vertices.

The volume of revolution can also be found using integration and "shell" or "disc" differential volumes. The result is the same.

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2 years ago