Answer:
The circumference of a circle =πd = π×18 =18π m
The value of x is -8
Step-by-step explanation:
The steps of solving an equation of one variable
- Simplify the two sides of the equation
- Separate the variable in one side and the numerical term in the other side
- Divide the both sides by the coefficient of the variable
∵ 372 = -3x - 6(8x + 6)
- Simplify the R.H.S. of the equation by multiplying the bracket by 6
∵ 372 = -3x - [6(8x) + 6(6)]
- You must put the square bracket because the sign in-front of 6
is (-) and the (-) changes the signs after it
∴ 372 = -3x - [48x + 36]
- Remember (-)(+) = (-), multiply the square bracket by (-)
∴ 372 = -3x - 48x - 36
- Add the like terms in the R.H.S.
∴ 372 = -51x - 36
- Add 36 to both sides to separate x in the R.H.S.
∴ 408 = -51x
- Divide both sides by -51 (coefficient of x)
∴ -8 = x
I hope these steps help you
The value of x is -8
Learn more:
You can learn more about the equations in brainly.com/question/11306893
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In quadratic equations,
a + b = -B
ab = C
where a and b are the roots, B is the second term, and C is the constant.
Substituting,
a + b = -12
ab = 35
The values of a and b from the equation is -7 and -5. Thus, the lesser root is -7.
t is the number of hours Lamar worked as a tutor
We know that he worked for 92 hours total, so he worked 92-t hours as a waiter.
So his earnings are: 7t + 8(92-t) = 736 -t dollars
This expression seems logical as if Lamar worked 0 hours as a tutor and 92 as a waiter his earnings would be 8*92 = 736
If he worked as a tutor for 92 hours it would be 7*92= 644
736-92= 644
So our expression seems to be working.
