Subtract 16 to get
x^2 -25 = 0
Factor this as
(x -5)(x +5) = 0
The zero product property tells you the product will be zero when one of the factors is zero.
For x-5 = 0
x = 5
For x+5 = 0
x = -5
The appropriate choice is
3) x=-5 or x=5
Circumference of the outer circle = 2πr = 2π(6) = 12π
circumference of the outer arc = 120/360 x 12π = 12.57cm
circumference of the inner circle = 2πr = 2π(5) = 10π
circumference of the inner arc = 120/360 x 10π = 10.47 cm
Difference in length = 12.57 - 10.47 = 2.1cm (1 d.p.)
Answer: 2.1cm
Answer:
159 miles
Step-by-step explanation:
The formula for calculating distance is:
Distance= Rate×Time
Distance= 53mph×3hours
Answer= 159 miles
Answer:
Hope the picture will help you........
Answer: 54.88 mph
Step-by-step explanation: the Doppler effect formulae is given below as
f' = (v + vo) /(v - vs) × f
Where f' = observed frequency = 236 Hz,
f = frequency of sound source (stationary frequency) = 253 Hz.
v = speed of sound in air = 761 mph
Since the car (source) is moving away relative to the observer, vs will have a negative value (-vs)
vo = 0 mph ( since the observer is not moving)
By substituting the parameters, we have that
236 = (761+0)/(761 - (-vs)) × 253
236 = (761/ 761 +vs) × 253
By cross multiplication, we have that
236 × (761 +vs) = 761 ×253
761 + vs = 761 ×253/ 236
761 + vs = 192533/ 236
761 + vs = 815.88
vs = 815.88 - 761
vs = 54.88 mph
