Answer:
See Attachment for graph
Step-by-step explanation:
Given
Point C
Required
Plot C when dilated by 1/2
First, we have to determine the coordinates of point C
From the attached graph;
Next, is to determine the new point when dilated;
This is calculated as thus;
Expand the bracket
This implies that C' will be plotted at x =0 and y = 3
<em>(See attached for point C')</em>
Translate, in math, is just a fancy word for "change" or "move". We're changing (-5, 2) using x + 3 and y - 1. If the x value is -5, what is x + 3?
(-5) + 3 = -2
And for the y - 1?
(2) - 1 = 1.
Your answer is P'(-2, 1)
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Use the Pythagorean Theorem. a = b = 5 so
5^2 + 5^2 = c^2
25 + 25 = c^2
50 = c^2
c = 5
= 7.071
Hi there!
The lines given in the problem are perpendicular to each other because they are opposite reciprocals. An opposite reciprocal is when the original slope (-8) is made opposite, which is negative or positive depending on the number (8) and is flipped upside down, or the numerator becomes the denominator and vice-versa (1/8). Opposite reciprocals are also shown by when the two slopes are multiplied together, it is equal to -1, showing that the lines are perpendicular. (-8/1 x 1/8 = -1)
Hope this helps!! :)
