0
John bikes 22 km per hour and starts at mile 10. Gwyn bikes 28 km per hour and starts at mile 0. Which system of linear equations represents this situation?
Wiki User
∙ 7y ago
A
rockout 64
Add your answer:
Earn +20 pts
Steps in solving problems involving systems of linear equations?
The answer depends on the level of your knowledge. The High level, simple answer is first. The Low level slog follows:HIGH LEVEL, SIMPLESuppose you have n equations of the forma11x1 + a12x2 + ... + a1nxn = bn wherethe as are coefficients,x1, x2, ... xn are the unknown variablesandb1, b2, ... bn are the constants.Write the n linear equations in n unknowns in the form Ax= bwhereA is an n*n matrix of coefficientsx is the n*1 matrix of the unknown variablesandb is the n*1 matrix of the constants.Find the inverse of A.Then x = A-1b.The above method works if the system has a unique solution. If the n equations are not independent, you will need to use a generalised inverse and that starts to get rather complicated. If they are inconsistent, then neither the inverse nor generalised inverse will be found.LOW LEVEL SLOGUse the first equation to express x1 in terms of the other variables. Substitute this value for x1 in the remaining n-1 equations. You now have n-1 equations in n-1 unknown variables.Use the first of the new equations to express x2 in terms of the other variables. Substitute in remaining equations. You now have n-2 equations in n-2 unknown variables.Continue until you have 1 equation in 1 unknown.That will be of the form pxn = q so that xn = q/p.Substitute this value into one of the equations at the 2-equations-in-2-unknowns stage. That will give you xn-1.Work your way back to the top.The two methods are equivalent. There are shortcuts available for matrix inversion (eg using determinants), but these are too complicated to go into here.
How do you get the formula center of curvature?
This starts with the collocation circle to go through the three points on the curve. First write the equation of a circle. Then write three equations that force the collocation circle to go through the three points on the curve. Last, solve the equations for a, b, and r.
What if linear equations starts with a negative?
Either move the negative over to the other side to become positive, or divide the entire equation by -1 to get it to a positive. Example: -3x + 12 = 30 Move the -3x over to get 12 = 30 + 3x 12 - 30 = 3x - 18 = 3x - 6 = x OR Divide by -1 to get 3x - 12 = - 30 3x = - 30 + 12 3x = -18 x = -6
How to derive the centre of curvature?
This involves the rate of change of the unit tangent vector. Deriving the curvature starts with the equation of a circle. Then three equations that force the collocation circle to go through the three points and on the curve must be written down. Then solve for a, b, and r.
What do you use when looking for a mathematical relationship between two variables?
The first step is to do a scatter plot. This will show if there is any relationship at all and, if there is, whether that relationship is linear or non linear, whether it remains the same throughout the domain or changes. As an example of the latter, think of the age and height of someone. The height starts off with birth height, grows quite rapidly for a few years, slows down pre-puberty, accelerates during puberty and then levels off. A very messy pattern. If there is a simple non-linear relationship you can try transforming one (or both) of the variables, and redraw the scatter plot. You can then try correlation or regression.
How do you graph linear equations using tables and values?
You would want to find were it starts on the graph so that would be your starting point on the table and then you would have to go up by rise over run for x and then you are mostliky done
Is there a word that starts with O and represents nursing?
obstetrics
What does starts mean in US flag?
each star represents a state
What is something that represents Kentucky and starts with e?
· Elizabethtown is a city in Kentucky
A pathway starts with more than one reactant and ends up with new products?
linear
Structure starts with a general topic that includes links to more specific topics?
hierarchical
Why oxygen is written as O?
it's because it starts with the letter "O" and its easier 2 remember when u do Equations
What does the bottom layer of an energy pyramid represents?
It represents what gives it energy and what it gives energy to
What are two absolute value equations that share part of a ray?
A ray, is a line that starts at one point and goes on forever. Two absolute value equations that could share part of a ray are 0,0 and 30,30.
What do you do if your friend starts dating your girlfriend?
Talk to your friend explain the situation.
What is a word that starts with the letter h that represents California?
· Huntington Beach is a city in California
What is a word that starts with the letter J that represents Qatar?
Jariyan al Batnah is a municipality in Qatar
