The area of a sector is given by
.. A = (1/2)r^2*θ . . . . . θ is the central angle in radians
The area of an isosceles triangle with legs length r is
.. A = (1/2)r^2*sin(θ) . . . θ is the angle between same-length legs
The shaded area is the difference between these
.. A = (1/2)r^2*(θ -sin(θ))
.. = (1/2)*(18.6 m)^2*(π*123/180 -sin(123°))
.. ≈ 226.3 m^2
3 + 3/4x > = 15
3/4x > = 15 - 3
3/4x > = 12
x > = 12 / (3/4)
x > = 12 * 4/3
x > = 48/3 = 16 sessions <==
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-p - 4p > -10
-5p > -10
p < -10/-5
p < 2 <===
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-3 - 6(4x + 6) > = 9
-3 - 24x - 36 > = 9
-24x - 39 > = 9
-24x > = 9 + 39
-24x > = 48
x < = -48/24
x < = -2 <===
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2x - 2 > = 10
2x > = 10 + 2
2x > = 12
x > = 12/2
x > = 6........so ur solution set is {6,7}
Answer:
A maybe?
Step-by-step explanation:
by looking at the graph you can see there are two points with one being at (0, 3) (given) and the other being at (1, 1) (by looking at the graph). You can use the slope formula (y2 - y1) / (x2 - x1) which gives you the slope.
Plug Values In:
(1-3) / (1-0) = -2/1 = -2
slope of f(x) = -2
slope of g(x) = -7 (slope-intercept form y=mx+b where m is the slope and b is the y-intercept)
I'm honestly not quite sure what it means by greater than since technically the slope of f(x) is greater than the slope of g(x) but does it mean how much it's changing by in which case the sign doesn't matter. Although I'm just going to assume it purely means the value in which case A is true.
The square of a positive integer added to 4 times the integer is 437..
x2 + 4x = 437
I chose to do this by completing the square..
x2+4x+4 = 437 + 4
(x+2)2 = 441
Take square root of both sides
x+2 = ±√441
x = -2 ± 21
x = -23 or x = 19
x = 19
