<span>Re-arrange the equation 4y - 3x = 8 in the form y = mx + c<span>y = 3/4x +2</span></span>
The gradient is 3/4
Now we need to work out the gradient of the 2nd line. Remember that when 2 lines are perpendicular the product of their gradients is -1. Let's call the gradient of the second line m.
<span><span>3/4m = -1</span><span>m = -4/3</span></span>
In the question we are told that the line passes through the point (0, 2). This means that the line crosses the y axis at +2.
So the equation of the line that is perpendicular to 4y - 3x = 8 is y = - 4/3x + 2
Finding the gradient of a line between two points
To find the gradient of a line we need to know how many it goes up, for every one across.
Example
Find the gradient of the line joining (1,3) to (4,9).
As we go from (1,3) to (4,9) the y value increases by 6, and the x value increases by 3. So the line goes 6 up for 3 across. So this line has a gradient of 6/3 = 2.
Use this technique to answer the following question:
<span>QuestionLine A goes through the points (4, 9) and (1, 3). Find the perpendicular line through the point (2, 0).</span>
Answer:
Step-by-step explanation:
A comparison between a function and its inverse would show that the domain and range of the original function swap. The domain of the function becomes the range of the inverse, the range of the function becomes the domain of its inverse.
Looking at ordered pairs of the function and its inverse would look like this:
(2,4) on the original function becomes (4,2) on the inverse.
While the graph of a function and its inverse are noticeably different an important thing to note is that it is merely a reflection across the line y=x.
So even though they appear different you are looking at the same relationship just as y vs. x instead of x vs. y
I hope this helped you because i barley understood this myself.
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Answer:
You are correct the answer is 48.
Step-by-step explanation:
To begin solving this question you would want to start simplifying it to make it more understandable.
3^3 is 27 which now gives you 27 + 1 x 9 +12 which makes it easier to solve.
Then you would take 1 x 9 = 9 (multiply left to right)
Now it is simple addition
27 + 9 + 12 = 48
Hopefully this helps.
Answer:
1.25
Step-by-step explanation:
Hello,
Here is an analytic method.
Equation of the circle of center C(13,-31) and radius 37:
(x-13)²+(y+31)²=37²
x=25
We are going to calculate y
(25-13)²+(y+31)²=1369
==>(y+31)²=35²
==>(y=4 or y=-66)
So b=4 or b=-66