Answer:
(x + y)^5.
Step-by-step explanation:
The (r+1)th term of (x + y)^n = nCr x^n-r y^r
Compare this with 10x^3 y^2 we get
nCr = 10 , n-r = 3 and r = 2 giving n = 3+2 = 5
5C2 = 10.
So the answer is (x + y)^5.
By calculator: it's 2.378
Since 2^5 = 32, so 32^(1/4) = 2^(5/4)
The coordinates of the point B as described in which case it is the image formed upon reflection of point A is; (5,4)
<h3>What is the coordinate of the point B which is the image formed by reflection of point A?</h3>
If follows from the task content description that the point A is an initial point which upon reflection yields point B.
Hence, it follows that the coordinates of point B can be determined according as follows;
For x coordinate;
-1 -2 = 2 - x
And hence, x = 5.
For y coordinate;
-8-(-2) = -2 - y
y = 4.
Hence, the coordinates of the image point B is; (5,4).
Read more on reflection of points;
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Answer:
5 Hours
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
To Solve this problem we need to first create an equation for both resorts. Both Resorts have a <u>fixed price</u> which is added to a changing price that depends on the amount of hours the ski's were rented. We can use the variable x to represent the amount of hours rented, and the variable y to represent total charge.
Black Diamond Ski Resort: y = 50+15x
Bunny Hill Ski Resort: y = 75 + 10x
We now have an equation for both resorts to find the total price after a certain amount of hours. Now we want to know what what hour the prices of BOTH resorts will be the same. We can calculate this by equally both equations and solving for x, like so.
..... subtract 10x and 50x from both sides
... divide both sides by 5

Now we can see that if you rent the Ski's for 5 hours <u>BOTH</u> resorts will charge you the same amount.