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xz_007 [3.2K]
3 years ago
9

Tabitha defines a sphere as the set of all points equidistant from a single point. Is Tabitha's definition valid?

Mathematics
2 answers:
Advocard [28]3 years ago
5 0

definition is valid since center is exactly 1radius away from any point on the outersurface.

other figures do not fit this defn

Ipatiy [6.2K]3 years ago
4 0

Answer:

<h2>Tabitha's defintion is valid.</h2>

Step-by-step explanation:

Her definition is valid because the sphere is basically defined by its radius, which is the equidistant points towards a center. If points are not equidistant, then that's not a sphere.

Also, Tabitha is considering "a set of points" referring to infinite points on the surface of the sphere. The single point she mentioned is the center.

Therefore, Tabitha's definition is valid because she's considering all elements that define a sphere.

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kotykmax [81]

Answer:

I would go with c.

Step-by-step explanation:

Hope this helped!

7 0
3 years ago
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Solve 4 + 4 ( x - 2 ) = 2 ( x + 1 ) - x<br> The question requires you to show your work
kati45 [8]

Answer:

x = 2

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (4+(4•(x-2)))-(2•(x+1)-x)  = 0

Step  2  :

Equation at the end of step  2  :

 (4 +  4 • (x - 2)) -  (x + 2)  = 0

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  3x - 6  =   3 • (x - 2)

Equation at the end of step  4  :

 3 • (x - 2)  = 0

Step  5  :

Equations which are never true :

5.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

5.2      Solve  :    x-2 = 0

Add  2  to both sides of the equation :

                     x = 2

One solution was found :

                  x = 2

Processing ends successfully

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7 0
3 years ago
PLEASEEEE HELPPPP!!!!
Alexeev081 [22]
The answer is 0.91 because it is
3 0
2 years ago
!HELP 13,14 and 15 WILL MARK BRAINLIEST
Otrada [13]

Answer:

sin A  = 40/41

tan A = 40/9

cos A = 9/41

Step-by-step explanation:

sin theta = opp/ hyp

tan theta = opp/ adj

cos theta = adj/ hyp

We want to find the measures for angle A

sin A  = 40/41

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cos A = 9/41

8 0
3 years ago
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Which of the following equations could be th equation to represent the given graph? Make sure you explain your answer thoroughly
Alex17521 [72]

Answer:

Option (C) is correct.

Step-by-step explanation:

The given options of the possible equation for the graph are as follows:

(A) y=2\left(\frac{3}{2}\right)^x \\\\(B) y=-2\left(\frac{3}{2}\right)^{-x} \\\\(C) y=2\left(\frac{2}{3}\right)^x \\\\(D) y=-2\left(\frac{2}{3}\right)^{-x} \\\\

The given graph is decreasing and at x=0, y=2.

So, first checking the value of the given options for x=0

(A) y=2\left(\frac{3}{2}\right)^0=2\times 1= 2 \\\\(B) y=--2\left(\frac{3}{2}\right)^{-0}= -2\times 1= -2 \; (not\; possible) \\\\(C) y=2\left(\frac{2}{3}\right)^0= 2\times 1= 2 \\\\(D) y=2\left(\frac{2}{3}\right)^{-0} = -2\times 1= -2 \; (not\; possible)

As, for x=0, y=2, so options (C) and (D) are not possible, so rejected.

Now, checking the nature (increasing or decreasing) of the given equation by differentiating it.

For option (A),

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As \ln \left(\frac{3}{2}\right)=\ln(1.5)>0 \;and\; \left(\frac{3}{2}\right)^{x} >0

So, \frac{dy}{dx}>0

Therefore, the function in option (A) is increasing function.

Similarly, for option (C),

\frac{dy}{dx}=2\left(\frac{2}{3}\right)^{x}\times \ln\left(\frac{2}{3}\right)

As \ln \left(\frac{2}{3}\right)=\ln(0.67)0

So, \frac{dy}{dx}

Therefore, the function in option (C) is decreasing function.

As the given graph is decreasing, so, (C)  representsy=2\left(\frac{2}{3}\right)^x the given graph.

Hence, option (C) is correct.

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