Answer:
x=4 x=-2
Step-by-step explanation:
x+4 x
----------- = ------------
4 x-2
Using cross products
(x+4)(x-2) = 4x
FOIL
x^2 -2x +4x -8 = 4x
Combine like terms
x^2 +2x -8 = 4x
Subtract 4x from each side
x^2 +2x-4x -8 = 4x-4x
x^2 -2x-8 =0
Factor
What 2 numbers multiply to -8 and add to -2
-4*2 =-8
-4+2 = -2
(x-4) (x+2) =0
Using the zero product property
x-4+4 =0+4 x+2-2=0-2
x=4 x=-2
Because of spherical geometry
let me explain
The Philippines are south<span> of Florida - why is flying </span>north<span> to Alaska a short-cut? The answer is that Florida, Alaska, and the Philippines are collinear locations in spherical geometry (they lie on a great circle). Another odd property of spherical geometry is that </span>the sum of the angles of a triangle is always greater then 180°. Small triangles, like those drawn on a football field, have very, very close to 180°. Big triangles, however, (like the triangle with veracities: New York, L.A. and Tampa) have significantly more than 180°.
Spherical geometry is a plane geometry on the surface of a sphere. In a plane geometry, the basic concepts are points and lines. In spherical geometry, points are defined in the usual way, but lines are defined such that the shortest distance between two points lies along them. Therefore, lines in spherical geometry aregreat circles. A great circle is the largest circle that can be drawn on a sphere. The longitude lines and the equator are great circles of the Earth. Latitude lines, except for the equator, are not great circles. Great circles are lines that divide a sphere into two equal hemispheres.
this is the long answer:
Spherical geometry is used by pilots and ship captains as they navigate around the globe. Working in spherical geometry has some non-intuitive results.
First, we determine the area of the rectangular house by multiplying the length by the width. That is,
area of the house = (50 ft)(24 ft) = 1200 ft²
Given that all sides of the house should have the pathway, the length of the house plus the pathway should be 50+2x and the new width would be 24+2x. The new area minus the original area of the house should not be more than 345 ft². Thus, the equation would be,
(50+2x)(24+2x) - 1200 ≤ 345
Answer: TO be honest what subject is this.
Step-by-step explanation: