Answer:
(x + 6, y + 0), 180° rotation, reflection over the x‐axis
Step-by-step explanation:
The answer can be found out simply , a trapezoid has its horizontal sides usually parallel meanwhile the vertical sides are not parallel.
The horizontal parallel sides are on the x-axis.
Reflection over y- axis would leave the trapezoid in a vertical position such that the trapezoid ABCD won't be carried on the transformed trapezoid as shown in figure.
So option 1 and 2 are removed.
Now, a 90 degree rotation would leave the trapezoid in a vertical position again so its not suitable again.
In,The final option (x + 6, y + 0), 180° rotation, reflection over the x‐axis, x+6 would allow the parallel sides to increase in value hence the trapezoid would increase in size,
180 degree rotation would leave the trapezoid in an opposite position and reflection over x-axis would bring it below the Original trapezoid. Hence, transformed trapezoid A`B`C`D` would carry original trapezoid ABCD onto itself
A polygon is regular when all angles are equal and all sides are equal (otherwise it is "irregular"). This is a regular pentagon (a 5-sided polygon)
Answer:
The square would be 25p^2 - 90p + 81
Step-by-step explanation:
To get this, use the FOIL method. In this, we multiply the first, outer, inner and last pairings.
First - Multiply the first number in each parenthesis.
5p * 5p = 25p^2
Outer - Multiply the outside numbers in each parenthesis.
5p * -9 = -45p
Inner - Multiply the inner numbers in each parenthesis.
-9 * 5p = -45p
Last = Multiply the last numbers in each parenthesis
-9 * -9 = 81
Now take all of those numbers and add together. Then simplify.
25p^2 - 45p - 45p + 81
25p^2 - 90p + 81
The rate of temperature rise is 2 degrees/minute.
The relation between temperature and time is of the form
y = 2x + b
where
x = time, minutes,
y = temperature, Celsius
When x = -4 min, y = - 4°C because the temperature was - 4°C 4 minutes ago. Currently, x = 0.
Therefore
-4 = 2(-4) + b
-4 = - 8 + b
4 = b
Part A
The relation is y = 2x + 4
Part B
When x = 15 (15 minutes from now), the temperature will be
y = 2(15) + 4 = 34°C
Answer: 34°C
