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Cerrena [4.2K]
3 years ago
13

What number is greater 17 or 20/5

Mathematics
2 answers:
gtnhenbr [62]3 years ago
7 0
Hey there!

17 is greater than 20/5 because 20 divided by 5=4
Harrizon [31]3 years ago
7 0
17 is greater, because 20/5 = 4, and 17 > 4
hope I helped!! :)
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Find the distance between the two points in simplest radical form for (-6,1) and (-8,-4)
Elina [12.6K]

Answer:

Step-by-step explanation:

Δy =-4-1 = -5

Δx =-8-(-6) = -2

distance =  √((Δx)^2+(Δy)^2) = √(4+25) = √29

3 0
3 years ago
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Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s
Svetlanka [38]

Answer: 6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}

Step-by-step explanation:

Given

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x^2-12x+15=0

Solving by completing the square method

\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}

The solution set of the equation is 6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}

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6 0
3 years ago
Find an equation of the sphere with center (2, −10, 3) and radius 5. $$25=(x−2)2+(y−(−10))2+(z−3)2 use an equation to describe i
lana66690 [7]

In the x,y plane, we have z=0 everywhere. So in the equation of the sphere, we have

25=(x-2)^2+(y+10)^2+(-3)^2\implies(x-2)^2+(y+10)^2=16=4^2

which is a circle centered at (2, -10, 0) of radius 4.

In the x,z plane, we have y=0, which gives

25=(x-2)^2+10^2+(z-3)^2\implies(x-2)^2+(z-3)^2=-75

But any squared real quantity is positive, so there is no intersection between the sphere and this plane.

In the y,z plane, x=0, so

25=(-2)^2+(y+10)^2+(z-3)^2\implies(y+10)^2+(z-3)^2=21=(\sqrt{21})^2

which is a circle centered at (0, -10, 3) of radius \sqrt{21}.

3 0
3 years ago
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choli [55]

Answer:

if you flipped one of the figures you will see that they are both the same shape and the same distance from the x and y axes.

3 0
3 years ago
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