Answer:
x=11 there is my work. Your welcome
Answer:
A = 27π cm²
Step-by-step explanation:
Area of the shaded region = area of full circle of O - Area of the unshaded sector
= (πr²) - (θ/360*πr²)
Where,
r = 6 cm
θ = 360
Area of shaded region = (π*6²) - (90/360*π*6²)
= (36π) - (¼*π*36)
= 36π - 9π
Area of shaded region = 27π cm²
Answer:Isolate the variable by dividing each side by factors that don't contain the variable.
w
=-3u/2+2
9514 1404 393
Answer:
- 6x +y = -6
- 6x -y = 8
- 5x +y = 13
Step-by-step explanation:
To rewrite these equations from point-slope form to standard form, you can do the following:
- eliminate parentheses
- subtract the x-term
- subtract the constant on the left
- if the coefficient of x is negative, multiply by -1
Of course, any operation you do must be done <em>to both sides of the equation</em>.
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1. y -6 = -6(x +2)
y -6 = -6x -12 . . . . . eliminate parentheses
6x +y -6 = -12 . . . . . add 6x
6x +y = -6 . . . . . . . . add 6
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2. y +2 = 6(x -1)
y +2 = 6x -6
-6x +y +2 = -6
-6x +y = -8
6x -y = 8 . . . . . . . . multiply by -1
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3. y -3 = -5(x -2)
y -3 = -5x +10
5x +y -3 = 10
5x +y = 13
_____
<em>Additional comment</em>
The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.
It would be 16 more 6th graders that are not in either band or orchestra.
15 6th Graders in band
9 6th Graders in both classes
+18 6th Graders in orchestra
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42 6th Graders in either class
100 6th Graders in total
-42 6th Graders in either class
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58 6th Graders in neither class
58-42= 16 more 6th Graders that are not in either class
You're welcome :)
