An equation is any expression with an equals sign, so your example is by definition an equation. Equations appear frequently in mathematics because mathematicians love to use equal signs. A formula is a set of instructions for creating a desired result. Non-mathematical examples include such things as chemical formulas (two H and one O make H2O), or the formula for Coca-Cola (which is just a ...
I love your answer for a line equation in the form of z = f (x, y)... Unfortunately calculating square roots can be impractical from the calculational standpoint and hence I really doubt any plotting software will be able to graph it correctly.
The equation of an object is a way of telling whether a point is part of an object -- if you substitute the coordinates of the point into the equation and the equation is true, then the point is on the object; if the equation is not true for that point, then the point is not on the object.
I'm wondering if there is a symbol or notation for Round to the nearest 10th For example, the area of a circle with a radius of 45 feet, rounded to the nearest square foot, could be written as, A =...
If instead we center at the right focus and follow the same steps, we obtain $$ r=\frac {a (1-\epsilon^2)} {1+\epsilon\cos\theta} $$ This geometric approach also extends naturally to hyperbolas and parabolas. Its main advantage is that it avoids solving a complicated quadratic equation. I hope this helps!
Equation means equality. They are both related to the word equal. If such an equality is true for all values of the variable, it is called an identity, e.g., $\sin^2x+\cos^2x=1$ is true for all x. If however the equation in question only holds for some values, which one is supposed to determine, then it's called conditional, and its variable is termed an unknown.
First consider the equation we use to describe a plane: $$ ax + by + cz + d = 0 $$ Why is it this way? let's first imagine a way to describe the point set of a plane: a plane must have a normal vector, and an “offset” to determine its exact position. What about the points on it? All the points are the same distance away from origin point ...
Given two discrete points on a log-log plot and a defined minimum value on both axes, how would you determine the equation of the line that runs through both points?
An equation is a declaration that two things are equal to each other. For example, $2^2 = 4$ is an equation stating that the square of 2 is 4. An equation may include variables of unknown value, and it may be true for all, some or none of the possible values of those variables.
