Answer:
x = -3
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do t one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and equals:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
Isolate the x. First, add 9 and subtract 4x from both sides:
6x (-4x) - 9 (+9) = 4x (-4x) - 15 (+9)
6x - 4x = -15 + 9
Combine like terms:
6x - 4x = -15 + 9
2x = -6
Next, divide 2 from both sides of the equation:
(2x)/2 = (-6)/2
x = -6/2
x = -3
x = -3 is your answer.
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Important things to note:
- PEMDAS is the order of operation, and equals Parenthesis, Exponents (& Roots), Multiplication, Division, Addition, Subtraction.
- If there is an equal sign and the same variable on both sides, you are trying to isolate that variable.
- Remember to follow the division rule. If you are dividing two negative numbers, your answer will be positive. If you are multiplying two negative numbers, your answer will be positive. If you are dividing or multiplying one positive and one negative number, your answer will be negative.
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The ends of the major axis is = (0, ± 13) and that of the foci is: (0,±5).
<h3>What is the axis and foci about?</h3>
The term 'foci' is known to be the point at which there is the coming together of light or any other kinds of electromagnetic radiation, particles, etc.
It is also seen as the point from which they seems to go apart.
Hence, major axis is = (0, ± 13)
e = 
= 5/13
Foci is: (0± 13 x 
)
Foci is: (0, ±5)
Therefore, The ends of the major axis is = (0, ± 13) and that of the foci is: (0,±5).
Learn more about foci from
brainly.com/question/26250569
#SPJ1
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<span>Acceleration of a passenger is centripetal acceleration, since the Ferris wheel is assumed at uniform speed:
a = omega^2*r
omega and r in terms of given data:
omega = 2*Pi/T
r = d/2
Thus:
a = 2*Pi^2*d/T^2
What forces cause this acceleration for the passenger, at either top or bottom?
At top (acceleration is downward):
Weight (m*g): downward
Normal force (Ntop): upward
Thus Newton's 2nd law reads:
m*g - Ntop = m*a
At top (acceleration is upward):
Weight (m*g): downward
Normal force (Nbottom): upward
Thus Newton's 2nd law reads:
Nbottom - m*g = m*a
Solve for normal forces in both cases. Normal force is apparent weight, the weight that the passenger thinks is her weight when measuring by any method in the gondola reference frame:
Ntop = m*(g - a)
Nbottom = m*(g + a)
Substitute a:
Ntop = m*(g - 2*Pi^2*d/T^2)
Nbottom = m*(g + 2*Pi^2*d/T^2)
We are interested in the ratio of weight (gondola reference frame weight to weight when on the ground):
Ntop/(m*g) = m*(g - 2*Pi^2*d/T^2)/(m*g)
Nbottom/(m*g) = m*(g + 2*Pi^2*d/T^2)/(m*g)
Simplify:
Ntop/(m*g) = 1 - 2*Pi^2*d/(g*T^2)
Nbottom/(m*g) = 1 + 2*Pi^2*d/(g*T^2)
Data:
d:=22 m; T:=12.5 sec; g:=9.8 N/kg;
Results:
Ntop/(m*g) = 71.64%...she feels "light"
Nbottom/(m*g) = 128.4%...she feels "heavy"</span>
Answer:
18 degrees heres youre answer!
Step-by-step explanation:
If Angle 1 is x, and Angle 2 is 9x (because one angle is 9 times as large as the other), then x + 9x = 180. Add like terms: 10x = 180. solve for x by dividing both sides by 10. Therefore, x = 18 degrees = smaller angle.
