A rancher has 100 meters of fencing to enclose two adjacent rectangular corrals. The rancher wants the enclosed area to be 350 meters. What dimensions should the rancher use to obtain this area.

Note: I was given 4x + 3y=100 as a formula below the picture of the two adjacent rectangles.

Look what stress does. I submitted the wrong problems to you for help. Please help me with the following 18 problems - I submitted the incorrect problems.
#17)
2x + 3
--------
x^2 - 16
#33)
w^2 - 49
---------
w + 7
#77)
2x^12
-------
4x^3
#87)
-2x - 4
-----------
x^2 - 5

Should algebra be taught to everyone? Who should study algebra? The statements below serve as possible answers to these questions and are only 'food for thought.' I welcome your constructive ideas and comments on one or several of them.
Whether you agree or do not agree, the study of algebra is good for the brain. The b

Question (1)
a = (3 , 1 , 2 ) , b = ( - 1 , 1 , 0 ) , c = ( 0 , 0 , - 4 ) , then show that a × ( b × c ) ≠ (a × b) × c
Question(2)
Given P ( 2 , 1 , 5 ), Q = ( - 1 , 3 , 4 ) and R = ( 3 , 0 , 6 ), then find (a) a vector orthogonal to the plane through the points P,Q and R (b) Find the area of the triangle PQR

1- If we have a triangle ABC, then prove that the internal and external bisectors of the angle of a triangle are perpendicular (assume for angle A)
2- Prove that given triangle ABC with the altitude from B of the same length as the altitude from C, then the triangle must be isosceles.

Can anyone finish up this proof by continuing my preliminery work? I started but can't finish this. I know starting by adding up the point z is correct way, but just can't continue to show if and only if.
(See attached file for full problem description)
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Assume , , with rank (A) = m are given. Two different basic

In this question ABC and PQR are two triangles, and the lengths of the sides opposite the angles A,B,C P, Q, R are a,b,c,p,q,r, respectively.
Choose the THREE false statements.
Options.
A. If angle A= angle Q and angle B= angle P. then it must follow that c b
--- = --
r p
B. I

A) Verify the following Identities :
i) [(Sin 2theta)/ (sin theta )- ( cos 2theta/ cos theta )] = sec theta
ii) cos2x = (cot^2 x-1 )/ (cot^2 x-1 )
And,
ììì) Use logarithms and the law of tangents to solve the triangle
ABC, given that a= 21.46 ft, b= 46.28 ft, and C = 32° 28' 30