Let
If M is the midpoint, the x and y coordinates of M are the average of the x and y coordinates of P and Q:
We can solve this expression for the coordinates of Q:
Plug in the values for the coordinates of M and P to get
Answer:
-10/3 is the answer
Step-by-step explanation:
Given are two complex numbers as
Recall Demoivre theorem as
(cosA+isinA)(cos A+isin B) = cos(A+B)+isin(A+B)
Hence here we have sum of angles as
A+B = 63+117 =180
=
Since sin180=0 and cos 180=-1
The number 12,300 is written 1.23 x 10⁴ as a scientific notation. It's coefficient is 1.23; base is 10⁴ in exponent form.
Scientific notation is a method developed by scientists to shorten the number that expresses a very large number. The scientific notation is based on powers of the base number 10.
Scientific notation has two numbers: coefficient and base. The coefficient must be greater than or equal to 1 and less than 10. The base is always 10 written in exponent form.
12,300 as coefficient in standard form in scientific notation.
1) put decimal after the first digit and drop the zeros. from 12,300 to 1.23 this is the coefficient.
2) to find the exponent, count the number of places from decimal to the end of the number.
1.2300 ; there are 4 places
So the scientific notation is 1.23 x 10⁴
Answer:
90 degree rotation in the clockwise direction.
Step-by-step explanation:
Point A transforms to A'
- that is x coordinate: 2 ---> 3
and y coordinate 3 ---> -2
So the rotation is clockwise from Quadrant1 to Quadrant 4.
The slope of OA = 3/2 and the slope of OA' = -2/3.
The product of these slopes = 3/2 * -2/3 = -1 so the lines are perpendicular - that is the line has passed through an angle of 90 degrees.
A similar result occurs if we consider points B, C and D.
Answer:
Step-by-step explanation:
Isolate the parts of the equation with the x variable
When you divide or multiply by a negative number in inequalities, you must flip the sign of the inequality.
