Answer:
Step-by-step explanation:
Let's examine the individual things
A. x=0 --> y=3.0-5=-5 True
B. x=-1 --> y=3.(-1)-5=-8 False
C. x=5/3 -->y=3(5/3)-5=0 True
D. x=2 --> y=3.2-5=1 True
Answer is B.
You don't understand, you can ask me :)
Answer:
x = -10
Step-by-step explanation:
Answer:
The equation of a line is y = ax + b, where a is the slope and b is the y-intercept.
Since we have the y-intercept, all we need to do is find the slope. To find the slope, you need 2 coordinates.
The y-intercept is where the line crosses the y axis, so it is where x is 0. Since the y intercept is -2, that means the first coordinate is (0, -2)
The x-intercept is where the line crosses the x axis, so it is where y is 0. Since the x intercept is 4, that means the second coordinate is (4, 0)
Since we already have the y-intercept, all we do is put the slope in the equation: y = 1/2x - 2.
Step-by-step explanation:
The height of the <em>water</em> depth is h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours, and the height of the Ferris wheel is h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds. Please see the image to see the figures.
<h3>How to derive equations for periodical changes in time</h3>
According to the two cases described in the statement, we have clear example of <em>sinusoidal</em> model for the height as a function of time. In this case, we can make use of the following equation:
h = a + A · sin (2π · t/T + B) (1)
Where:
- a - Initial position, in meters.
- A - Amplitude, in meters.
- t - Time, in hours or seconds.
- T - Period, in hours or seconds.
- B - Phase, in radians.
Now we proceed to derive the equations for each case:
Water depth (u = 20 m, l = 8 m, a = 14 m, T = 12 h):
A = (20 m - 8 m)/2
A = 6 m
a = 14 m
Phase
20 = 14 + 6 · sin B
6 = 6 · sin B
sin B = 1
B = π/2
h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours.
Ferris wheel (u = 40 m, l = 2 m, a = 21 m, T = 40 s):
A = (40 m - 2 m)/2
A = 19 m
a = 21 m
Phase
2 = 21 + 19 · sin B
- 19 = 19 · sin B
sin B = - 1
B = - π/2
h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds.
Lastly, we proceed to graph each case in the figures attached below.
To learn more on sinusoidal models: brainly.com/question/12060967
#SPJ1
Answer:
a^10
Step-by-step explanation:
simplify the expression
a^2 x a^8
then calculate the product
a^2 x a^8
= a^10