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Choose all answers that are correct.
A.
Translate into an equation.
2,345 – 1,123 + 1,020 = p
B.
Work backward.
Add 1,020 to the population of Rosetown (1,123). Subtract this from the population of Grayville (2,345).
C.
Use logical reasoning.
Start with the population you already know (Grayville = 2,345). Subtract Rosetown's 1,123 fewer people than Grayville. Add 1,020 to this amount because Newtown has 1,020 more people than Rosetown.
D.
Draw a diagram.
Draw 3 large circles. Write 2,345 in the first circle and write 1,123 in the second circle. Add the 2 amounts and subtract 1,020 from the sum. Write this amount in the third circle.
To calculate the data accordingly.
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Answer:
The Answer is: $10.50 in change.
Step-by-step explanation:
The difference in amount is:
$14.99 - $5.49 = $9.50 is the amount owed after the exchange.
$20.00 - $9.50 = $10.50 is the difference in change.
b) Write a rule for the translation. Use arrow notation.
c) Write the coordinates of the vertices of the new image after translation.
The coordinates of the vertices of the new image after translation and reflection :
A''(0, 1); B''(-3, 3); C''(-2, -1).
A reflection is an example of a transformation
Reflection is the process of mirroring each point on the geometry of a certain line.
The original figure is called the pre-image and the final figure is called the image
The image will be congruent with the pre image and the distance from the image to the mirror axis is the same as the distance from the pre image to the mirror axis
• The equation of reflection across the y-axis
x '= -x
y '= y
can be written
While the transformation itself is the displacement of the object given a distance and direction (for example up or down)
So each point is moved in the same distance and direction
Can be formulated :
Triangle ABC below is reflected across the y-axis and then translated 1 unit right and 2 units down.
So the stages
1. reflected across the y-axis first and then
2. translated 1 unit right and 2 units down.(T(a,b) ⇒a=1,b=-2)
Coordinate A(1,3),B(4,5),C(3,1)
reflected becomes :
A(1,3)⇒A'(-1,3)
B(4,5)⇒B'(-4,5)
C(3,1)⇒C'(-3,1)
A'(-1,3) ⇒A''(-1+1,3-2)⇒A"(0,1)
B'(-4,5) ⇒B''(-4+1,5-2)⇒A"(-3,3)
C'(-3,1) ⇒ C"(-3+1,1-2)⇒C"(-2,-1)
Transformation from function
the rule for the reflection
the transformation rule
Keywords: reflection.,translation, the coordinates