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VMariaS [17]
3 years ago
11

The slope of (-3,5) (-3,1)

Mathematics
2 answers:
weqwewe [10]3 years ago
6 0

Answer:

undefined

Step-by-step explanation:

The slope of two points is found by

m = (y2-y1)/(x2-x1)

    = (1-5)/ (-3 - -3)

   = -4/(-3+3)

  = -4/0

undefined

Readme [11.4K]3 years ago
3 0

y2-y1/x2-x1

ys— 1 - -3=4

xs— -3 - -3=0

4/0- slope undefined

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Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graph
diamong [38]

Answer:

a) 8π

b) 8/3 π

c) 32/5 π

d) 176/15 π

Step-by-step explanation:

Given lines :  y = √x, y = 2, x = 0.

<u>a) The x-axis </u>

using the shell method

y = √x = , x = y^2

h = y^2 , p = y

vol = ( 2π ) \int\limits^2_0 {ph} \, dy

     = ( 2\pi ) \int\limits^2_0 {y.y^2} \, dy  

∴ Vol = 8π

<u>b) The line y = 2  ( using the shell method )</u>

p = 2 - y

h = y^2

vol = ( 2π ) \int\limits^2_0 {ph} \, dy

     = ( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy

     = ( 2π ) * [ 2/3 * y^3  - y^4 / 4 ] ²₀

∴ Vol  = 8/3 π

<u>c) The y-axis  ( using shell method )</u>

h = 2-y  = h = 2 - √x

p = x

vol = (2\pi ) \int\limits^4_0 {ph} \, dx

     = (2\pi ) \int\limits^4_0 {x(2-\sqrt{x}  ) } \, dx

     = ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀

vol = ( 2π ) ( 16/5 ) = 32/5 π

<u>d) The line x = -1    (using shell method )</u>

p = 1 + x

h = 2√x

vol = (2\pi ) \int\limits^4_0 {ph} \, dx

Hence   vol = 176/15 π

attached below is the graphical representation of P and h

3 0
3 years ago
2. Write the inequality and show all work to solve the
seraphim [82]
Yes you are doing it correctly.
$12.00 + $3.00x <= $24.00
$12.00 + $3.00x - $12.00 <= $24.00 - $12.00
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$3.00x/$3.00 <= $12.00/$3.00
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The number line representation will be an arrow with a shaded round head pointing to the left from tne number 4.
6 0
3 years ago
You buy the following materials for the new extension. Calculate the cost of the bricks and cement and then work out the total c
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<u>Answer:</u>

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<u>Step-by-step explanation:</u>

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20 bags of cement  are for £6.70 per bag,

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Therefore, the total cost of all the materials = £150 + £134 + £157.5 = £441.50

7 0
3 years ago
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