b), the definition of slope produces the slope intercept form of the line y = mx + b. When the equation of the line is in this form, you can read slope directly from it, and that allows you to immediately determine the slope of a line perpendicular to ...
How to write an m x n matrix in LaTeX How to write an m x n matrix with big parentheses \begin{equation*}A_{m,n}=\begin{pmatrix}a_{1,1}&a_{1,2}&\cdots&a_{1,n}\\a_{2,1}&a_{2,2}&\cdots&a_{2,n}\\\vdots&\vdots&\ddots&\vdots\\a_{m,1...
Lift is an element of force that moves perpendicular to the direction of an object's motion. The rotating arm had a serious side effect, however, in that it chopped up the air as it spun, basically creating hellacious turbulence that greatly impacted all results and observations. But the ...
Parallel lines are straight lines that extend to infinity without touching at any point. Perpendicular lines cross each other at a 90-degree angle. Both sets of lines are important for many geometric proofs, so it is important to recognize them graphically and algebraically. You must know the s...
Urbanization and climate change are contributing to severe flooding globally, damaging infrastructure, disrupting economies, and undermining human well-being. Approaches to make cities more resilient to floods are emerging, notably with the design of flood-resilient structures, but relatively little is kno...
Learn how to find a normal line equation. Use a derivative and perpendicular slope of a tangent line to calculate the equation of the normal line. Review practice problems, as well. Related to this Question How do style="text-align:left;">I write f(x) in another .m file? trap.m file...
To find the equation of a line you need a point and a slope. The slope of the tangent line is the value of the derivative at the point of tangency. The normal line is a line that is perpendicular to the tangent line and passes through the point of tangency. Examples Example 1 Suppose...
Answer to: How to prove circles are similar. By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can also...
How do you create a quadratic equation from a graphed parabola? Find the scalar equation of the line perpendicular to 3x -y+7=0 passing through (2,-3). How can you find the graph of an equation if you know the translation rule? Find the x-intercept of the function f(x) = \frac{...
To put it more simply: a = (W - D) / m (source: NASA) As an object accelerates, its velocity and drag increase, eventually to the point where drag becomes equal to weight -- in which case no further acceleration can occur. Let's say our object in this equation is a car. This ...