Answer:
C = 2
Step-by-step explanation:
Answer:
The legnth of side AB would be 3 units
Step-by-step explanation:
First, you would determine that both point A and point B would have the same y-coordinate of 1. Then you would determine the difference between the x values of points A and B. Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.
Answer:
The sinusoidal wave can be represented by the equation:y=A∗sin[ω(x−α)]+Cy=A∗sin[ω(x−α)]+C
where, A is the amplitude; ω=2π/periodω=2π/period; α=α= phase shift on the Y-axis; and C = midline.
With the information given in this problem,
Midline (C) is the average calculated as: (72+38)/2=55(72+38)/2=55;
Amplitude (A) is 72-55= 17;
Period = 24 hours;
ω=2π/24ω=2π/24;
α=10α=10;
Substituting in the equation,
y=17∗sin[2π/24(x−10)]+55y=17∗sin[2π/24(x−10)]+55
Solving this equation for y=51y=51 gives the value of x as 9.09.
Thus, the temperature first reaches 51 degrees about 9.09 hours after midnight.
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
6x-3(x+8)=9
Using the distributive property, we can turn 6x-3(x+8)=9 into 6x-3x-24=9, which simplifies to 3x-24=9 by combining like terms. Now, if we add 24 to both sides, we get 3x=33. By dividing both sides by 3, we get x=11.
Check:
66-3*19=9
66-57 does in fact equal 9.