Answer:
and
Step-by-step explanation:
Let the variables be: x and y
The equations can be modelled as:
and
To solve for x and y, we have:
Make x the subject in
Substitute in
Collect like terms
Divide both sides by 2
Substitute in
So, we have:
Answer:
Step-by-step explanation:
Given that :
the foci of the ellipse is (±√12,0) and C0-vertices are (0,±√37)
The foci are (-C,0) and (C ,0)
the focus has x-coordinates so the focus is lie on x- axis.
The major axis also lie on x-axis
The minor axis lies on y-axis so C0-vertices are (0,±√37)
The given focus C = ae = √12
Given co-vertices ( minor axis) (0,±b) = (0,±√37)
b= √37
We can therefore express the relation between the focus and semi major axes and semi minor axes as:
The equation of ellipse formula is:
and we know that
Thus ; the equation of the ellipse at the origin is
Given :
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper.
To Find :
How many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper.
Solution :
Mass of copper in 50 gm alloy = .
Mass of copper in 78 gm alloy = .
Total mass of copper, ( 6 + 76.44 ) gm = 82.44 gram.
Percentage of copper in resulting mixture :
Hence, this is the required solution.
Given :
A credit card company requires that its customers choose a 3 digit.
Each digit should be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9.
So there are 10 possibilities for each digit.
To Find :
How many different three digit codes are there.
Solution :
We know, possibility of choosing each digit is 10.
So, total number of three digit codes are :
Therefore, their are 1000 different three digit codes.
Hence, this is the required solution.