Answer:
(2x+5)(x+4)
Step-by-step explanation:
2x²+13x+20
_5_+_8_=13
_5_×_8_=(2x20)
now it can be re-written as
2x²+5x+8x+20
which can be factored to be:
(2x+5)(x+4)
Answer:
14π
Step-by-step explanation:
Graph the region. Rotated about the y-axis, the volume is a round, spherical shape.
Slice the volume into a vertical stack of discs. The radius of each disc is x, the thickness of each disc is dy. The volume of each disc is:
dV = π x² dy
dV = π (7 sin y) dy
dV = 7π sin y dy
The total volume is the sum of all the discs from y=0 to y=π.
V = ∫ dV
V = ∫₀ᵖⁱ 7π sin y dy
V = -7π cos y |₀ᵖⁱ
V = -7π (cos π − cos 0)
V = -7π (-1 − 1)
V = 14π
Answer: Prime
Step-by-step explanation: To tell if 37 is a prime number or a composite number, begin by finding the factors of 37.
To find the factors of 37, begin by dividing 37 by 1 which gives us 37. This means that 1 and 37 are factors.
Notice however that 37 is not divisible by any other number except 37. When we divide 37 by 37 we get 1. Since 37 and 1 are repeat factors, the only factors of 37 are 1 and 37.
When there are only two factors of a number, we call the number prime.
Answer:
Complementary angels are basically two angles that add up to 90 degrees. Supplementary angles are two angles that add up to 180 degrees.
Step-by-step explanation:
(self-explanatory)
I hope this helps, have a nice day.