Answer:
1. 6 6/7
2. 25/56
3. 3/16
4. 4 1/3
5. 26
Step-by-step explanation:
Hope this helps :)
Please check attached vertical number line.
(a) The temperature differences are listed below:
Between Cities Temperature difference
Smithton and
Hedgeburough 2.5 - (-1.1) = 2.5 + 1.1 = 3.6
Hedgeburough and
East Bunting - 1.1 - (- 0.5) = - 1.1 + 0.5 = -0.6
East Bunting and
Smithton 2.5 - (- 0.5) = 2.5 + 0.5 = 3
Answer:
<em>(x - 2)² + y² = 9</em>
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given initial value problem is;
Let
Differentiating both sides of equation (1) with respect to 
, we obtain:
Differentiating both sides of equation (2) with respect to gives:
From equation (1),
Putting t=0 into equation (2) yields
Also putting t=0 into equation (3)
The system of first order equations is:
Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.
One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:
x^2 + 6x + 8 = x + 4
We can then combine like terms, or move everything to one side. So we get:
x^2 + 5x + 4 = 0.
Then we can use the quadratic formula to solve for x.
x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)
This simplifies into:
(-5 +/- 3)/2
Finally we add and subtract:
(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4
And our solution is x = -1, x = -4
