Answer:
Step-by-step explanation:You can doly/3fcEdSxwnload the ans
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Answer:
(-9,6)
Step-by-step explanation:
The general equation of a circle is given as:
x²+y²+2gx+2fy+c = 0
The centre of the circle is (-g,-f)
Given the equation of the circle
(x+9)² + (y-6)² = 10²
First we need to expand and write it in the general form. On expansion:
x²+18x+81+y²-12y+36 = 100
Collecting like terms
x²+y²+18x-12y+81+36-100 = 0
x²+y²+18x-12y+17 = 0
Comparing to the general equation
2gx = 18x
g = 9
2fy = -12
f = -6
The center of the circle = (-g, -f)
= (-9,-(-6))
= (-9, 6)
Answer: Each classmate got 9 pencils
Step-by-step explanation: if you divide 8 from 75, you get 9 pencils for each classmate and 3 for Jessica to keep.
Answer:
Michael is incorrect.
if we take the steps Michael says and move the ABCDE up 8 and right 10, not all of the points line up.
Step by step explanation:
In order to get the shapes to line up, we need to flip (reflect) ABCDE onto the 2nd Quadrant, then we can move (translate) it to the right by 10.
General Idea:
When a point or figure on a coordinate plane is moved by sliding it to the right or left or up or down, the movement is called a translation.
Say a point P(x, y) moves up or down ' k ' units, then we can represent that transformation by adding or subtracting respectively 'k' unit to the y-coordinate of the point P.
In the same way if P(x, y) moves right or left ' h ' units, then we can represent that transformation by adding or subtracting respectively 'h' units to the x-coordinate.
P(x, y) becomes
. We need to use ' + ' sign for 'up' or 'right' translation and use ' - ' sign for ' down' or 'left' translation.
Applying the concept:
The point A of Pre-image is (0, 0). And the point A' of image after translation is (5, 2). We can notice that all the points from the pre-image moves 'UP' 2 units and 'RIGHT' 5 units.
Conclusion:
The transformation that maps ABCD onto its image is translation given by (x + 5, y + 2),
In other words, we can say ABCD is translated 5 units RIGHT and 2 units UP to get to A'B'C'D'.