Answer:
Step-by-step explanation:
Answer:
x^2/25 +y^2/9 = 1
Step-by-step explanation:
You can think of an ellipse as a circle with a different scale factor in the x-direction than in the y-direction. When either dimension is stretched by a factor of k, the corresponding variable (v) is replaced by (v/k).
Here, the unit circle
x^2 +y^2 = 1
is stretched by a factor of 3 vertically (in the y-direction) and a factor of 5 horizontally (in the x-direction). That means we can replace x with (x/5) and y with (y/3) in the above equation to get ...
(x/5)^2 +(y/3)^2 = 1
Traditionally, the denominator is written as a number, not a square, so the equation would be ...
x^2/25 +y^2/9 = 1
Answer:
As per the question, 10 workers working for 4 hours a day complete their work = 12 days. 1 person working for 1 hour a day complete the work = 12×10×4 days. Thus, the 8 persons working for 6 hrs a day complete their work in 10 days.
Step-by-step explanation:
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Answer:
The probability is 1/6
Step-by-step explanation:
Firstly, we need to get the total number of coins
that would be the sum of all the coins present
We have this as;
8 + 10 + 4 + 2 = 24 coins
The number of nickels is 4
So the probability of selecting a nickel is the number of nickels divided by the total number of coins
We have this as;
4/24 = 1/6
Answer:
Your answer is infinitely many solutions
Step-by-step explanation:
To use elimination you have to get one of the variables to be the opposite of each other, so here you would do:
-2(2x+y = 7)
4x+2y= 14
You multiply the top by -2 to get the opposite of 2y, which is -2y. This in turn multiplies everything by -2 on the top solution giving us the top equation below.
-4x-2y = -14
+ 4x+2y = 14
--------------------
0 = 0
If you add those 2 solutions then you get 0 = 0, which is infinitely many solutions
