Answer:
Step-by-step explanation:
since -1≤sin2x≤1 no x values would satisfy the equation
The solution of the system of equations is (-3 , -2)
Step-by-step explanation:
Steps for Using Linear Combinations Method)
- Arrange the equations with like terms in columns
- Analyze the coefficients of x or y
- Add the equations and solve for the remaining variable
- Substitute the value into either equation and solve
∵ 3 x - 8 y = 7 ⇒ (1)
∵ x + 2 y = -7 ⇒ (2)
- Multiply equation (2) by 4 to make the coefficients of y are equal in
magnitude and different in sign
∴ 4 x + 8 y = -28 ⇒ (3)
Add equations (1) and (3)
∵ 3 x - 8 y = 7 ⇒ (1)
∵ 4 x + 8 y = -28 ⇒ (3)
∴ 7 x = -21
- Divide both sides by 7
∴ x = -3
Substitute the value of x in equation (2) to find y
∵ x + 2 y = -7 ⇒ (2)
∵ x = -3
∴ -3 + 2 y = -7
- Add 3 to both sides
∴ 2 y = -4
- Divide both sides by 2
∴ y = -2
The solution of the system of equations is (-3 , -2)
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Answer:
Step-by-step explanation:
2( N+ 17) = 3 (N +7)
2N+ 34= ·3N+ 21
N= 13
D= N+8 = 13+8 = 21
Fraction is 
When Im using N is equal to numerator and D for denominator, in order to get the fraction we substitute and the results combine in the fraction like this 
We can use ratios and the cross-multiply-divide to find this.
The ratio 21:5 is avaliable via the question. We then need to compare that to the ratio x:100, the 100 being the percent and the x being the number of airplane parts.
21/5 = x/100
We can then solve for x to find the number of airplane parts. First we multiply by 100 on both sides to get 2100/5 = x. Therefore x = 420 and there are 420 airplane parts.
Answer:
the height of the flagpole is 5 meters
Step-by-step explanation:
The computation of the height of the flagpole is given below
Given that
the length of the rope is 13 meters
And, the ground would be 12 meters
Based on the above information, the height of the flagpole is
= √13^2 - √12^2
= √169 - √144
= √25
= 5 meters
hence the height of the flagpole is 5 meters