This is standard form for a linear equation
Answer:
Equation of line l,
3x-4y=1/2
y=3/4x-1/2
we get,
slope of line l =3/4
Equation of line m,
x-5=2y
y=1/2-5/2
Hence slope of line m=1/2
Slope of line l is not equal to slope of line m. Hence the line are not parallel.
Slope of line l* slope of line m ,
(3/4)*(1/2) =3/8
Since the product of slope of line l and the slope of line m is not equal to -1, the lines are not perpendicular.
Hence the lines are neither perpendicular nor parallel..
9514 1404 393
Answer:
97.42 square units
Step-by-step explanation:
The area of a sector is given by ...
A = (1/2)r²θ
where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.
75° = (75°)×(π/180°) radians = (5/12)π radians
Then the area is ...
A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units
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Equivalently, you can find the area of the circle in the usual way:
A = πr² = π(12.2²) ≈ 467.59465
Then, multiply by the fraction of the circle that is shaded (75°/360°)
sector area = (467.59465)(75/360) = 94.42 . . . square units
Using the linear combination method, we can add 3x+7y=31 and -3x-2y=-1 together, which makes 5y=30.
Just divide both sides by 5, and your answer will be y = 6.
To solve for x, just substitute 6 in y in either equation and solve for x:
In short, the correct answer is B. -3 2/3
