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3 years ago

Which expression is equivalent to ^3√64a^6b^7c^9

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

3 0

Answer:

second option

Step-by-step explanation:

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Find the equation of the sphere if one of its diameters has endpoints (-8, -3, -10) and (-6, 1, -4) which has been normalized so

alex41 [277]

Answer:

The equation is $x^2 + y^2 +z^2 + 14 x + 3y \ + 14z + 86.25=0$

Step-by-step explanation:

From the question we are told that

The diameter endpoints is (-8, -3, -10) and (-6, 1, -4)

Generally the equation of a sphere with center coordinates (a, b , c ) and radius r is mathematically represented as

$(x - a )^2 + (y -b )^2 + (z -c)^2 = r^2$

Now since we are given the endpoints of the diameter then we can obtain the center coordinates as follows

$(a, b , c) = [ \frac{ -8 +(-6)}{2} , \frac{-3 + (1)}{ 2} , \frac{ -10 + (-4)}{2} ]$

$(a, b , c) = [ -7 , -1.5 , -7 ]$

Now the length of the diameter is evaluated as

$|d| = \sqrt{ (-8 - (-6 ))^2 + ( -3 - (1) )^2 + ( -10 - (-4))^2 }$

$|d| = \sqrt{56 }$

$|d| = \sqrt{4 * 14 }$

$|d| = 2 \sqrt{ 14 }$

Now the radius is mathematically represented as

$r = \frac{|d|}{2}$

$r = \frac{ 2 \sqrt{14} }{2}$

$r = \sqrt{14}$

$(x - -7 )^2 + (y --1.5 )^2 + (z --7)^2 = ( \sqrt{14} )^2$

$(x +7 )^2 + (y +1.5 )^2 + (z +7)^2 = 14$

$x^2 + 14 x + 49 + y^2 + 3y + 2.25 +z^2 14z + 49 = 14$

$x^2 + y^2 +z^2 + 14 x + 3y \ + 14z + 86.25=0$

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4 years ago

A and B alternate tossing coins until the first head. B uses a fair coin, and A uses one where P(T) = p. If A tosses first, find

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4 years ago

If you see a variable by itself what number is actually there but is invisible?

Brilliant_brown [7]

The number 1 is the answer

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3 years ago

Read 2 more answers

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Answer:Jensen

Step-by-step explanation:

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3 years ago

How do you multiply and then use distributive property?

morpeh [17]

It depends on the question given, for example

you can do distributive property will multiplying.

Example 1:

there is two ways on doing distributive property.

I can do 4(8+3)

add 8+3 since it is inside the parenthesis which equals = 11 then multiply the outside on what you added. 4x11= 44

example 2: I can also do it another way. 4(8+3) distribute the 4 by multiplying the 4 with both numbers. 4x8 and 4x3 which equals 32, and 12. add 32+12=44

so either way you will get the same answer. hope I helped.

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3 years ago