To rotate clockwise 90 degrees from a point (x, y) the image will be (y, -x)
In this case given the point (-1, 1), the image will be (1, -(-1)) or (1, 1)
<span>If (2 − 3i) + (x + yi) = 6, to get x + yi we subtract (2-3i) from both sides of the equation.
</span>(2 − 3i) + (x + yi) - (2 − 3i) = 6 -(2 − 3i)
(x + yi) = 6 - (2 - 3i)
Open the parenthesis taking care of the signs
(x + yi) = 6 - (2 - 3i)
= 6 - 2 + 3i
= 4 + 3i
Answer:
4 is the greatest common factor of 12
Answer:
2) 3
Step-by-step explanation:
Graphing the best-fit quadratic curve for the data-set can be done using Ms. Excel Application.
The first basic step is to enter the data into any two adjacent columns of the excel workbook. Highlight the two columns where the values have been entered, click on the insert tab and then select the x,y scatter-plot feature. This will create an x,y scatter-plot for the data.
Next, click on the Add Chart Element feature and add a polynomial trend-line of order 2 which is basically a quadratic curve. Finally, check the display equation on chart box. This step will plot the quadratic curve as well as give the equation of the best-fit quadratic curve.
The attachment below shows the best-fit quadratic curve to the data-set and its corresponding equation.
A good approximation for the value of c from the equation is thus 3. This is simply the y-intercept of the curve. 3.21 is closer to 3.
Answer:

Step-by-step explanation:
Plot the figure to better understand the problem
see the attached figure
we know that
If the figure is a rectangle
then

The area of the rectangle is equal to

where
B is the base
h is the height
the base B is equal to the distance AB
the height h is equal to the distance AD
Step 1
Find the distance AB
the formula to calculate the distance between two points is equal to


substitute the values

Step 2
Find the distance AD
the formula to calculate the distance between two points is equal to


substitute the values

Step 3
Find the area of the rectangle

we have

substitute
