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Oksanka [162]
3 years ago
13

12 Which numbers are irrational? Choose all that apply.

Mathematics
1 answer:
alex41 [277]3 years ago
6 0
Option a and option d
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The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).
Zina [86]

Answer: Endpoint = (-4,6)

Step-by-step explanation:

To find any endpoint use the formula \frac{x_1+x_2}{2} = Xmp    \frac{y_1+y_2}{2} =Ymp

\frac{6+x_2}{2} = 1          \frac{-2+y_2}{2} =2    

multiply each by 2  to simplify

\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2    \frac{-2+y_2}{2*2} =2*2 = -2+y_2=4 take the equations and simplify

6+x_{2} = 2                          -2+y_{2} = 4  =  

-6       -6                          +2       +2

   x_{2} = -4                               y_{2} =  6

To check use the Midpoint formula

\frac{-4+6}{2} , \frac{6-2}{2}  = \frac{2}{2} , \frac{4}{2}  = (1,2)

8 0
3 years ago
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y =
miss Akunina [59]

Answer:

381.18 cubic units

Step-by-step explanation:

Graph the region:

desmos.com/calculator/iwvreqjz2m

The region is a trapezoid.  When we rotate it about x = 1, we get a hollow cylinder shape.  We can either use washer method or shell method to find the volume.

If we find the volume using washer method, we'll have to use two integrals, one for the triangular part of the trapezoid and one for rectangular part.  If we use shell method, we only need one integral.  So let's use shell method.

Cut a thin, vertical slice of the region.  The width of this slice is dx.  The height of the slice is y₂ − y₁ = x − 0 = x.  The radius of the shell is x − 1.

The volume of the shell is:

dV = 2π (x − 1) (x) dx

dV = 2π (x² − x) dx

The total volume is the sum of all the shells from x=5 to x=7.

V = ∫ dV

V = ∫₅⁷ 2π (x² − x) dx

V = 2π ∫₅⁷ (x² − x) dx

V = 2π (⅓ x³ − ½ x² + C) |₅⁷

V = 2π [(⅓ 7³ − ½ 7² + C) − (⅓ 5³ − ½ 5² + C)]

V = 2π [⅓ 7³ − ½ 7² − ⅓ 5³ + ½ 5²]

V = 2π [⅓ (7³ − 5³) + ½ (5² − 7²)]

V = 2π [⅓ (218) + ½ (-24)]

V = 2π (72⅔ − 12)

V = 121⅓ π

V ≈ 381.18

The volume is approximately 381.18 cubic units.

6 0
2 years ago
X-2&gt;5 <br> I need a person that can give me answers<br> Skpe at Kazuto Kirigaya king jolt 07
balu736 [363]

Answer:

no identity will escape! I know where you live

4 0
2 years ago
I need the help on this
Salsk061 [2.6K]

Answer:

Go catipiller

Step-by-step explanation:

8 0
2 years ago
What is the factored form of -7y-y^2=0
Sveta_85 [38]
Factor out like terms
-y(7+y)=0
4 0
3 years ago
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