Answer:
This is equation of ellipse
Step-by-step explanation:
we are given
We can see that right side is 36
so, we can make right side as 1 by dividing both sides by 36
we can simplify it
we can rewrite it as
now, we can compare it with standard equation of ellipse
we can see that both equations are similar
so, this is equation of ellipse
Answer:
1 and 4 are correct. 2 and 3 are not.
Step-by-step explanation:
1.
When x = 0 where does the horse start?
y = 1.5*sin(0 + 0.5)*2*pi + 1.5
y = 1.5*sin(0.5*2pi) + 1.5
y = 1.5*sin(pi) + 1.5 But sin pi = 0
y = 0 + 1.5 So the horse is starting at the midpoint of it's travel.
2.
This one is a trick question. You can reason it without exact answers. At some point the sin(x + 0.5)*2pi will equal 1. When it does 1.5 * 1 + 1.5 = 3.0 At some other point sin(x + 0.5)*2pi = -1. When that happens the whole thing goes to 0. So the total of the distance traveled is 6 not three.
3.
You can figure this one out by letting x = 0.01 When it does then the value of the function is
y = 1.5*sin [(0.01 + 0.5)*2pi] + 1.5
y = 1.5*sin(0.51*2*pi) + 1.5
y = 1.5*sin(3.204424) + 1.5
y = 1.5*(- .0623) + 1.5
y = -0.9418 + 1.5
y = 1.4058 so it is going downward The value is getting smaller.
4.
The horse starts out in the middle of the pole. What does x need to equal so that x + 0.5 = 1 ? And why 1. The answer to why 1 is that then the sine function will equal sin(2*pi)
That happens when x = 0.5 which is 1/2 a minute. If it takes 1/2 a minute to execute 1 complete cycle, then in 5 minutes the cycle will be executed 10 times. This one is correct.
6 regular triangles meet at vertex to form a regular tessellation.
Answer is D.
Hope it helps!
The formula to calculate the temperature (T) after m minutes is -
T = 106 - 6m
We have Reabilwe who is conducting an experiment in which the temperature is measured carefully. The temperature was 106°C at the end of the first minute, and then it falls by 6°C every minute after that.
We have to tp determine a formula to calculate the temperature (T) after m minutes.
<h3 /><h3>Starting from x, if the bacteria count rises by 5 every second, then determine the formula to calculate the bacteria count after 30 seconds.</h3>
Initial count = x
Count increasing per second = 5
Assume that the bacteria count after t seconds is y. Then -
y = x + 5t
for t = 30 ↔ y = 150 + x
According to question, we have -
Initial Temperature = 106 degrees Celsius
Temperature increase per minute = 6 degrees Celsius
Assume that the Temperature fall after m minutes is T. Then -
T = 106 - 6m
Hence, formula to calculate the temperature (T) after m minutes is -
T = 106 - 6m
To solve more questions on Equation Modelling, visit the link below -
brainly.com/question/20876878
#SPJ1
