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Digiron [165]
3 years ago
15

How do you do this question?

Mathematics
1 answer:
tatyana61 [14]3 years ago
3 0

Step-by-step explanation:

The integral was obtained using cylindrical shells.  The volume of each shell is:

dV = 2π r h t

where r is the radius, h is the height, and t is the thickness.

The thickness is either dx or dy.  Looking at the integral, we can tell it is dy.  So the solid is revolved about the x-axis (or a line parallel to the x-axis).

The radius will be y.  So the height must be x = 9/(9+y²).

So the solid is obtained by rotating the region 0 ≤ x ≤ 9/(9+y²), 0 ≤ y ≤ 3 about the x-axis.

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Y = x^2 - 8x + 15 line of symmetry
lyudmila [28]
If you are solving for y, your answer is -1.
First, x=4 so plug in the 4 in every into every x.
Second, 4^2 is 16. 8(4) is 32.
Third, 16 - 32 + 15= -1
8 0
3 years ago
What is equivalent to 0 = 2x2 - 16x – 18 when completing the<br> square?
algol13

Answer:

x = 1

x = -9

Step-by-step explanation:

(2x2 +  16x) -  18  = 0

2x2 + 16x - 18  =   2 • (x2 + 8x - 9)

x2 + 8x - 9

 -9    +    1    =    -8

     -3    +    3    =    0

     -1    +    9    =    8

 2 • (x + 9) • (x - 1)  = 0

2   =  0

x+9 = 0  

x = -9

x-1 = 0

x = 1

x2 + 8x - 9  = 0

  x2+8x = 9

(x+4) • (x+4)  =

 (x+4)2

x2+8x+16 = 25 and

  x2+8x+16 = (x+4)2

(x+4)2 = 25

x = -4 + √ 25

 x2 + 8x - 9 = 0

has two solutions:

 x = -4 + √ 25

  or

 x = -4 - √ 25

           

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

A   =     1

                     B   =    8

                     C   =   -9

B2  -  4AC   =

                    64 - (-36) =

                    100

 -8 ± √ 100

  x  =    —————

                   2

  x  =  ( -8 ± 10) / 2

x =(-8+√100)/2=-4+5= 1.000

or:

x =(-8-√100)/2=-4-5= -9.000

Answer:  x = 1

x = -9

6 0
3 years ago
What is the answer to 5x +3 &lt; 18
vodomira [7]
Let's solve your inequality step-by-step.<span><span><span>5x</span>+3</span><18
</span>Step 1: Subtract 3 from both sides.<span><span><span><span>5x</span>+3</span>−3</span><<span>18−3</span></span><span><span>5x</span><15
</span>Step 2: Divide both sides by 5. <span><span><span>5x/</span>5</span><<span>15/5 
</span></span><span>x<3
</span>Answer:<span>x<<span>3</span></span>
6 0
3 years ago
Write this sentence as a conditional <br><br> "a regular hexagon has exactly 6 congruent sides."
Evgesh-ka [11]
“if it is a regular hexagon, then it has exactly 6 congruent sides.”

“it is a hexagon” being your hypothesis (p)
“it has exactly 6 congruent sides” being your conclusion (q).

hope this helps :)
4 0
3 years ago
Check my answer?
8_murik_8 [283]
B. Compare independent variables
4 0
3 years ago
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