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lesya [120]
3 years ago
5

-x + 4y = 15 5x + 6y =3 A (3,3) B (-3,-3) C (-3,3) D (3,-3)

Mathematics
1 answer:
viva [34]3 years ago
6 0

Answer:

b

Step-by-step explanation:

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Micah wants to show the value 8/3 on the number line .. where should micah put the value 8/3 ?
Aliun [14]

Answer:

Between 2 and 3

Step-by-step explanation:

Since 8 divided 3 = 2.666667 thus it must be between 2 and 3

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4 years ago
Area of triangle 4cm, 5cm and 3cm
sergiy2304 [10]

Answer:

4cm x 5cm x 3cm = 60cm

Step-by-step explanation:

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3 years ago
Find the volume of the solid generated by revolving the region enclosed by the triangle with vertices (1 comma 0 )​, (3 comma 2
Troyanec [42]

Answer: Volume = \frac{20\pi }{3}

Step-by-step explanation: The <u>washer</u> <u>method</u> is a method to determine volume of a solid formed by revolving a region created by any 2 functions about an axis. The general formula for the method will be

V = \pi \int\limits^a_b {(R(x))^{2} - (r(x))^{2}} \, dx

For this case, the region generated by the conditions proposed above is shown in the attachment.

Because it is revolting around the y-axis, the formula will be:

V=\pi \int\limits^a_b {(R(y))^{2} - (r(y))^{2}} \, dy

Since it is given points, first find the function for points (3,2) and (1,0):

m = \frac{2-0}{3-1} = 1

y-y_{0} = m(x-x_{0})

y - 0 = 1(x-1)

y = x - 1

As it is rotating around y:

x = y + 1

This is R(y).

r(y) = 1, the lower limit of the region.

The volume will be calculated as:

V = \pi \int\limits^2_0 {[(y+1)^{2} - 1^{2}]} \, dy

V = \pi \int\limits^2_0 {y^{2}+2y+1 - 1} \, dy

V=\pi \int\limits^2_0 {y^{2}+2y} \, dy

V=\pi(\frac{y^{3}}{3}+y^{2} )

V=\pi (\frac{2^{3}}{3}+2^{2} - 0)

V=\frac{20\pi }{3}

The volume of the region bounded by the points is \frac{20\pi }{3}.

6 0
3 years ago
Of the 950 students enrolled in a soccer league, 42% are in middle school. How many students in the soccer league are in middle
Ipatiy [6.2K]

Answer:

551

Step-by-step explanation:

I used a calculator.

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3 years ago
A pair of jeans at Abercrombie regularly sells for $60. If you but the jeans today, you will receive a 15% discount. Find the sa
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Step-by-step explanation:

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