Answer:
x = -1.4
Step-by-step explanation:
Subtract the right side and simplify.
5 - 6(2 - x) - (x - 14) = 0
5 - 12 + 6x - x + 14 = 0 . . . . parentheses eliminated
7 + 5x = 0 . . . . . . . . . . . . . . terms collected
1.4 + x = 0 . . . . . . . . . . . . . . divide by 5
x = -1.4 . . . . . . . . . . . . . . . . . add the opposite of the constant
_____
Check
5 -6(2 -(-1.4)) = (-1.4) -14
5 - 6(3.4) = -15.4
5 -20.4 = -15.4 . . . . . true. Answer checks OK.
Answer:
13.58 is the 18 percent tip
Oven tray: 600 mm by 500 mm
cake tin: 25 cm in diameter
convert mm to cm.
1 cm = 10 mm
600mm * 1cm/10mm = 60cm
500mm * 1cm/10mm = 50cm
Area of oven tray = 60cm * 50cm = 3,000 cm²
Area of cake tin = 3.14 * (25cm/2)² = 3.14 * (12.5cm)² = 3.14 * 156.25cm² = 490.625 cm²
3,000cm² ÷ 490.625cm² = 6.11 or 6 cake tins can fit on the oven tray at one time.
Answer:
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
Step-by-step explanation:
At Image I, we have vertex at point (3,-2), and the length of the left side is of 1 unit(from -2 to -3).
In the larger figure, this length is of 2 units, so the dilation has a scale factor of 2 units. The rotation, due to the coordinates changing, is of 90º counterclockwise(if it was across the x-axis, only the y coordinate would change, but on image II, both coordinates change).
So the correct answer is:
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
