30 points
1 answer:
Answer:
A: You plot these points (-3,4) (-3,6) (-5,6) (-7,4)
B: The transformation would be described as a reflection over the y axis
C: The transformation does result in a congruent figure because the shape doesn't change in size or shape and in length or width
Step-by-step explanation:
So our plots from the figure are: (3,4) (3,6) (5,6) (7,4)
So using the rule (x, y) → (-x, y) are new points would be:
(-3,4)
(-3,6)
(-5,6)
(-7,4)
This rule (x, y) → (-x, y) is used for the type of transformation that is a reflection but over the y axis.
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Answer:
Step-by-step explanation:
The formula for a circle of radius r centered at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
Both of the given points are on the line y=-1. The distance between them is the difference of their x-coordinates, 2 -(-2) = 4. So, the radius of the circle is 4 and the equation becomes ...
(x -2)^2 +(y -(-1))^2 = 4^2
(x -2)^2 +(y +1)^2 = 16 . . . . . . . . . matches choice A
Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
The formula of a slope:
Q1.
We have the equation of a line <em>p </em>in the standard form
Convert to the slope-intercept form:
<em>subtract 3x from both sides</em>
<em>divide both sides by (-3)</em>
The slope
From the table we have the points (4, 3) and (7, 5). Calculate the slope of line <em>q</em>:
Divide the slope of <em>p</em> by the slope of <em>q</em>:
Q2.
Parallel line have the same slope. Therefore, if we have the equation of the line in the slope-intercept form, then we have the slope:
Q3.
Parallel line have the same slope.
Calculate the slope from given points (-11, 5) and (-6, 1):