Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.
a) The scale factor from Quadrilateral A to Quadrilateral B = smallest side length of side B / smallest side length of side A = 2 / 6 = 1/3
Scale factor = 1/4= 1 / 3
The side length of 6 in A corresponds to a side length of 2 in B
Side length of B that corresponds with side length of 9 in A = scale factor * 9 = 1/3 * 9 = 3
The side length of 9 in A corresponds to a side length of 3 in B
Side length of B that corresponds with side length of 12 in A = scale factor * 9 = 1/3 * 12 = 4
The side length of 12 in A corresponds to a side length of 4 in B.
c) perimeter of Quadrilateral B = sum of side lengths of quadrilateral B = 2 + 3 + 3 + 4 = 12 units
Its 2544.766983
I just used my calculator :)
Y = sin x
y' = cos x
y'' = -sin x
y''' = -cos x
y'''' = sin x
Therefore, nth derivative of sin x = sin(nπ/2 + x)
Answer:
f(x) = 12x = 10
Step-by-step explanation:
We need a linear equation in the slope-intercept form.
y = mx + b
where y = total pay, m = hourly salary, x = number of hours worked, and b = y-intercept, or initial value
Let's look in the table.
1 hour: $22
2 hours: $34
The difference in pay between 1 hour and 2 hours is $34 - $22 = $12.
The difference in time between 1 hour and 2 hours is 1 hour.
In 1 hour he earns $12. That means the slope is 12.
We know he earns $22 for working a total of 1 hour.
Start at 1 hour and $22 on the table.
Subtract 1 hour from 1 hour to get 0 hours.
Subtract $12 form $22 to get $10.
That means for 0 hours he gets $10. b = 10
The equation is
y = 12x + 10
In function form, we have:
f(x) = 12x = 10
