How can you determine the coordinates of any image that is dilated with the center of dilation at the origin without graphing? E
1 answer:
Answer:
See explanation
Step-by-step explanation:
Let be the coordinates of the point which has to be dilated with the scale factor of
with the center of dilation at point
(the origin).
The dilation with the scale factor and the center of dilation at the origin has the rule
So, you have simply to multiply each coordinate of the point by to get the image's coordinates.
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Answer:
see attached
Step-by-step explanation:
Most of this exercise is looking at different ways to identify the slope of the line. The first attachment shows the corresponding "run" (horizontal change) and "rise" (vertical change) between the marked points.
In your diagram, these values (run=1, rise=-3) are filled in 3 places. At the top, the changes are described in words. On the left, they are described as "rise" and "run" with numbers. At the bottom left, these same numbers are described by ∆y and ∆x.
The calculation at the right shows the differences between y (numerator) and x (denominator) coordinates. This is how you compute the slope from the coordinates of two points.
If you draw a line through the two points, you find it intersects the y-axis at y=4. This is the y-intercept that gets filled in at the bottom. (The y-intercept here is 1 left and 3 up from the point (1, 1).)
Answer: Second option.
Step-by-step explanation:
Given the functions f(x) and g(x):
You need to divide them in order to find asked in the exercise. Then:
Now, it is important to remember that, by definition, the division by zero is not defined. Therefore, the denominator of the function cannot be zero.
Let's find the value of "x" for which the denominator of the function would be zero:
1. You need to make the denominator equal to zero:
2. Finally, you must solve for "x":
Therefore, as you can see, the answer is:
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