Answer:
Step-by-step explanation: to be honest i do not know
so yull do math I'm guna do different number just plug these in for.your numbers 225/(375+x)=25
cross multiply land solve900-375 x=525 then cheak
225/(375+525) = .25
Y = 3x/4 - 1
Taking (-1-2)/(0-4) gives the slope of the line to be 3/4. Substituting x = 0 gives the y-intercept as -1.
Answer:
The answer is below
Step-by-step explanation:
Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x² + 16y² = 16
Solution:
Given that the ellipse has the equation: 4x² + 16y² = 16
let us make x the subject of the formula, hence:
4x² + 16y² = 16
4x² = 16 - 16y²
Dividing through by 4:
x² = (16 - 16y²)/4
x² = 4 - 4y²
Taking square root of both sides:

The points of the rectangle vertices is at (x,y), (-x,y), (x,-y), (-x,-y). Hence the rectangle has length and width of 2x and 2y.
The area of a rectangle inscribed inside an ellipse is given by:
Area (A) = 4xy
A = 4xy

Therefore the length = 2x = 2√2, the width = 2y = 2/√2