Answer:
y = 1/2x +6
Step-by-step explanation:
We have a point and a slope. Therefore we can use the point slope form to create a line
y-y1 = m(x-x1)
y-5 = 1/2(x--2)
y-5 = 1/2(x+2)
Distribute the 1/2
y-5 = 1/2x +1
Add 5 to each side
y-5+5 = 1/2x +1+5
y = 1/2x +6
This is in slope intercept form
The relation between A and B subset is A⊆B
What is Subsets?
A set "X" is said to be the subset of "Y" is each elements of X is present in Y and is denoted by X⊆Y.
It should be noted that In roster notation, the use of the {" and "} character indicates that a set of numbers is a collection of elements, which can either be a finite or infinite collection.
Thus in the given question :
A={summer, autumn, spring, winter}
B={summer, winter}
"summer" and "winter" elements of B which is common and also presents in A therefore, B is subset of A and is denoted as A⊆B.
check and know more about sets here :
brainly.com/question/23454979
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Answer:
![\large\boxed{A^2=\left[\begin{array}{ccc}1&-12\\6&-8\end{array}\right] }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BA%5E2%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-12%5C%5C6%26-8%5Cend%7Barray%7D%5Cright%5D%20%7D)
Step-by-step explanation:
![A=\left[\begin{array}{ccc}-3&4\\-2&0\end{array}\right]\\\\A^2=\left[\begin{array}{ccc}-3&4\\-2&0\end{array}\right] \cdot\left[\begin{array}{ccc}-3&4\\-2&0\end{array}\right] =\left[\begin{array}{ccc}(-3)(-3)+(4)(-2)&(-3)(4)+(4)(0)\\(-2)(-3)+(0)(-2)&(-2)(4)+(0)(0)\end{array}\right]\\\\A^2=\left[\begin{array}{ccc}1&-12\\6&-8\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%264%5C%5C-2%260%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5CA%5E2%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%264%5C%5C-2%260%5Cend%7Barray%7D%5Cright%5D%20%5Ccdot%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%264%5C%5C-2%260%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%28-3%29%28-3%29%2B%284%29%28-2%29%26%28-3%29%284%29%2B%284%29%280%29%5C%5C%28-2%29%28-3%29%2B%280%29%28-2%29%26%28-2%29%284%29%2B%280%29%280%29%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5CA%5E2%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-12%5C%5C6%26-8%5Cend%7Barray%7D%5Cright%5D)
Answer:
Airspeed in still air: 140 mph
Step-by-step explanation:
Let s represent the speed in still air. Recognize that the distance traveled is the same in either direction.
Also note that SF is north of LA.
Distance to SF from LA = Distance to LA from SF
(s-20)(mph)(4 hr) = (s+20)(mph)(3 hr)
Then:
4s - 80 = 3s + 60 => s = 60 + 80 + 140 (mph)
The airspeed of the plane was 140 mph in still air. With a tail wind, the plane is faster; with a headwind, slower.
Answer:
Calculate the Macaulay duration of Annuity B at the time of purchase is 1.369.
Step-by-step explanation:
First, we use 0.93 to calculate the v which equals 1/(1+i).
= 0.93
After rearranging the equation, we get 1.07
+ 0.07v - 0.93=0
So, v=0.9
Mac D: 
After substituting the value of v, we get Mac D = 1.369.
