Simplify the expression. 11c + 3(-5c + 4d)
Answer:
total tip: 32.5*20/100=6.5
Step-by-step explanation:
The coordinates are
Answer:
Please check the explanation.
Step-by-step explanation:
Given the point
P(x, y)
Please note that when we translate a point 'c' units left, the 'c' units are subtracted from the x-values, and when translating a point 'c' units right, we add the 'c' units to the x-values.
Also, note that when we translate a point 'c' units down, the 'c' units are subtracted from the y-values, and when translating a point 'c' units up, we add the 'c' units to the y-values.
After First Translation:
3 units left and 5 units up
P(x, y) → P'(x-3, y+5)
After Second Translation:
Translate the image 5 units right and 2 units up.
P'(x-3, y+5) → P''(x-3+5, y+5+2) = P''(x+2, y+7)
Thus, the coordinates of the point(x, y) after the translations are: P''(x+2, y+7)
TAKING AN EXAMPLE
Let us consider that point
P(0, 0)
After First Translation:
3 units left and 5 units up
P(0, 0) → P'(0-3, 0+5) = P'(-3, 5)
After Second Translation:
Translate the image 5 units right and 2 units up.
P'(-3, 5) → P''(-3+5, 5+2) = P''(2, 7)
Thus, the coordinates of the point P(0, 0) after the translations are:
The final coordinates of the point after the translations are (x + 2, y + 7). Let's start with a point (x, y) and apply the translations step by step: 1. Translate the point 3 units left and 5 units up:
New coordinates after the first translation: (x - 3, y + 5)
2. Translate the new point 5 units right and 2 units up:
New coordinates after the second translation: (x - 3 + 5, y + 5 + 2)
Now, simplify the expressions inside the parentheses:
New x-coordinate: x - 3 + 5 = x + 2
New y-coordinate: y + 5 + 2 = y + 7
So, the final coordinates of the point after the translations are (x + 2, y + 7).
To know more about coordinates:
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Answer:
the answer is 448
Step-by-step explanation: