Given the equation 9x = -63, the numerical value of x is -7.
<h3>What is the solution to the given equation?</h3>
Given the equation in the question;
9x = -63
To determine the value of x, we divide both sides by the coefficient of x.
9x = -63
9x/9 = -63/9
x = -7
Given the equation 9x = -63, the numerical value of x is -7.
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Answer:
Step-by-step explanation:
- The length of the segment JM is 25 units.
- The segment JL is between 0 and 12, so is 12 units.
- The segment KL is between 5 and 12, so is 7 units.
<u>The probabilities for each point:</u>
- P(point on JL) = 12/25
- P(point not on KL) = 1 - 7/25 = 18/25
<u>Required probability:</u>
- P = 12/25*18/25 = 216/625
Correct choice is D
Answer:
Option B is correct.
![r = \frac{S}{2\pi h}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7BS%7D%7B2%5Cpi%20h%7D)
Step-by-step explanation:
It is given that :
The formula for the lateral surface area of a cylinder is ![S = 2\pi rh](https://tex.z-dn.net/?f=S%20%3D%202%5Cpi%20rh)
where
S represents the lateral surface area of cylinder,
r represents the radius of the bases and
h represents the height of the cylinder.
Solve for r;
Given: ![S = 2\pi rh](https://tex.z-dn.net/?f=S%20%3D%202%5Cpi%20rh)
Divide both sides by
,
![\frac{S}{2\pi h} =\frac{2\pi rh}{2\pi h}](https://tex.z-dn.net/?f=%5Cfrac%7BS%7D%7B2%5Cpi%20h%7D%20%3D%5Cfrac%7B2%5Cpi%20rh%7D%7B2%5Cpi%20h%7D)
Simplify:
![r = \frac{S}{2\pi h}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7BS%7D%7B2%5Cpi%20h%7D)
Therefore, the radius of the bases of the cylinder is, ![r = \frac{S}{2\pi h}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7BS%7D%7B2%5Cpi%20h%7D)