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3 years ago

Simplify. assume that no denominator is equal to zero ( show work ) help please!!!

Mathematics

2 answers:

shepuryov [24]3 years ago

5 0

I need this too please help

netineya [11]3 years ago

3 0

Answer:

b^5

Exponent rule when dividing = subtract exponents

b^12 - b^7 = b^5

Step-by-step explanation:

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Ludmilka [50]

28

Explanation: 728/26=28

6 0

3 years ago

Read 2 more answers

Find all the real cube roots of -0.000125

Arturiano [62]

We calculate the cube root,

we know that

-0.000125-------------> is equal to -125/1000000-------->(-5³/10<span>^6)
</span>∛(-5³/10^6) = -5/10^2-------> -5/100--------> -0.05

The answer is -0.05

3 0

4 years ago

Read 2 more answers

9. Two points in the plane, A(−3,8) and ????(17,8), represent the endpoints of the diameter of a circle.

kherson [118]

Answer:

a) (7,8)

b) r = 10

c) $(x-7)^2+(y-8)^2=100$

Step-by-step explanation:

a) Given the endpoints the diameter of the circle as A(-3,8) and B(17,8)

we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as $(x_m,y_m)$

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{-3+17}{2},\dfrac{8+8}{2}\right)$

$(x_m, y_m) = (7,8)$

this is the coordinate of the center of the circle.

b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.

the general distance formula is:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

in our case the equation changes to: (selecting the centre and point B)

$r = \sqrt{(x_m-x_2)^2+(y_m-y_2)^2}$

$r = \sqrt{(7-17)^2+(8-8)^2}$

$r = 10$

side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all <u>since in this particular case</u> all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)

c) the ingredients needed to make the equation of the circle are the