<u>Answer:</u>
(-1, 5)
<u>Step-by-step explanation:</u>
The center of a circle is the midpoint of the diameter.
So we have to calculate the midpoint of the diameter, using this formula:
midpoint = ( 
, 
)
= (
, 
)
= (-1, 5)
∴ The center of the circle lies at the point (-1, 5).
Answer:
y = 6cos(π/2)t
Step-by-step explanation:
Given in the question that,
in a simple harmonic motion in which
at t=0 the amplitude is 6 cm, so the simple harmonic motion will be in cosine form. As in case of sine function, the value of function at t=0 is 0.
And,
the period is given as 4 sec
We know that model equation of simple harmonic motion is
<h3>y = a. cosb(t + c) + d</h3>
here,
a is amplitude
c is Horizontal shift or phase shift
d is Vertical shift
<h3>Step1</h3><h3>Find b</h3>
Period = 2 π / b
4 = 2π / b
b = 2π/4
b = 1π/2
<h3>Step2</h3><h3>Find shifts</h3>
Horizontal and vertical shifts are 0.
So, c = 0 and d = 0
<h3>Step3</h3><h3>Plug those values in the above in the equation</h3>
y = 6cos π/2 (t + 0) + 0
y = 6cos(π/2)t
$ 295 because you can multiple 15×19.7 is =295.5
Answer:
d + r ≥ 30
$0.75d + $1.25r ≤ $30
Step-by-step explanation:
Given the following :
Number of items to purchase = atleast 30
Total cost must be no more than 30
cost of donut (d) = $0.75
Cost of cinnamon (r) = $1.25
Number of donuts and cinnamon to purchase
To total number of items :
Donut + cinnamon ≥ 30
d + r ≥ 30
Cost of items to purchase :
Cost = price per item * number of items
$0.75d + $1.25r ≤ $30
Answer:6c+1
Step-by-step explanation:
i think it’s that
