2a + 2b = c
Subtract 2a from both sides
2b = -2a + c
Divide both sides by 2
b = -a + (c/2)
Answer:
x:
5x - 29 = 3x+ 19
2x = 48
x = 24°
Angle 1:
180 - (3x+7) = 180 - 79 = 101°
Angle 2:
3x + 7 = 79°
Angle 3:
Same as Angle 1 = 101°
Angle 4:
Same as Angle 1 = 101°
Angle 5:
Same as Angle 2 = 79°
Angle 6:
Same as Angle 5 = 79°
Angle 7:
180 - (5x - 29) = 180 - 91 = 89°
Angle 8:
Same as Angle 7 = 89°
Angles 2 and 3 are Supplementary angles
Answer:
1726 to the nearest 100 = 1700
Answer:
Therefore the rate change of height is
m/s.
Step-by-step explanation:
Given that a vertical cylinder is leaking water at rate of 4 m³/s.
It means the rate change of volume is 4 m³/s.

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.
The height of the cylinder be h(say).
The volume of a cylinder is 


Differentiating with respect to t.

Putting the value 



The rate change of height does not depend on the height.
Therefore the rate change of height is
m/s.
Answer:
D
Step-by-step explanation:
The boxes with whole numbers in them written as coordinates:
(-4, -11)
(8, -8)
we know gradient is rise over run, or (y2 - y1) / (x2 - x1)
gradient = (-8 - -11) / (8 - -4)
gradient = 3 / 12
gradient = ¼