(h,k) center point
(-6,9) is the center point
h=-6
k=9
radius or r=3
Standard form is (x-h)^2+(y-k)^2=r^2
Equation of the circle is (x+6)^2+(y-9)^2=9
Answer:
x=1 y=-3
Step-by-step explanation:
given example: y=6x+3
y=-x-4
6x+3=-x-4
6x+x=-4-3
7x=-7
x=-1
6*(-1)+3=-3
y=-3
Answer:
The displacement equation for this periodic motion is given as
y = (0.345 Sin πt) m
y = (0.345 Sin 3.142t) m
Step-by-step explanation:
The displacement equation for periodic motion is given as
y = A sin wt
A = amplitude of the motion, that is, the maximum displacement from the equilibrium position = 0.345 m
w = angular frequency = (2π/T)
T = period of the periodic motion = 2.00 s
w = (2π/T) = (2π/2) = π rad/s
t = time of motion, measured in seconds.
y = (0.345 Sin πt) m
y = (0.345 Sin 3.142t) m
Hope this Helps!!!
Answer:
0.163
Step-by-step explanation:
P = I (1 + r)ᵗ
450 = 56 (1 + r)⁶
8.036 = (1 + r)⁶
log₆ 8.036 = 1 + r
log 8.036 / log 6 = 1 + r
1.163 = 1 + r
r = 0.163
Answer:
The computation of the angles show that the value of sin x and cos y will be 4/5 and 3/5 respectively.
How to calculate the angles?
From the information, we've to compute the length of the hypothenuse using Pythagoras theorem.
Therefore, 4² + 3² = hypothenuse²
hypothenuse² = 16 + 9
hypothenuse² = 25
hypothenuse = ✓25.
hypothenuse = 5
Therefore, sin x = opposite/hypothenuse = 4/5
cos y = adjacent/hypothenuse = 3/5
In conclusion, the values are 4/5 and 3/5.
Step-by-step explanation: