Simplify the expression: 3y2 + 15 – 2y2
2 answers:
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Given:
The point is (2,9).
It is translated 4 units to the right and 7 units up.
To find:
The coordinates of new point.
Solution:
The point is translated 4 units to the right and 7 units up. So, the rule of translation is
The point is (2,9). Using the above rule, we get
Therefore, the coordinates of new points are (6,16).
Given:
The length of a rectangle is 3 cm less than its width.
The area of the rectangle is 270 cm².
To find:
The dimensions of the rectangle.
Solution:
Let x be the width of the rectangle. Then,
Area of a rectangle is:
Splitting the middle term, we get
Width of the rectangle cannot be negative. So, the only value of x is 18.
Therefore, the length of the rectangle is 15 cm and the width of the rectangle is 18 cm.