Answer:
The intersection is .
The Problem:
What is the intersection point of and ?
Step-by-step explanation:
To find the intersection of and , we will need to find when they have a common point; when their and are the same.
Let's start with setting the 's equal to find those 's for which the 's are the same.
By power rule:
Since implies :
Squaring both sides to get rid of the fraction exponent:
This is a quadratic equation.
Subtract on both sides:
Comparing this to we see the following:
Let's plug them into the quadratic formula:
So we have the solutions to the quadratic equation are:
or .
The second solution definitely gives at least one of the logarithm equation problems.
Example: has problems when and so the second solution is a problem.
So the where the equations intersect is at .
Let's find the -coordinate.
You may use either equation.
I choose .
The intersection is .
Answer:
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Step-by-step explanation:
Perpendicular lines are lines that cross at a 90 degree angle
Lines AB and BC
The answer should be A. For example, if x = 1, and the ratio between x and y is y is 5 times greater than x, then y would equal 5, which is only true in A.
Or, use the number 5 as an example. If x = 5, and the ratio between x and y is y is 5 times greater than x, then y is 5.
And if you put that into A, y = 5x, it becomes 25 = 5(5)
Then 25 = 25, which is true!