Answer:
10
Step-by-step explanation:
The radius is the magnitude of the complex number that is the difference between any point on the circle and the center point. A suitable calculator can tell you that magnitude:
║(8+7i) - (2-i)║ = √((8-2)² +(7-(-1))²) = √(36+64) = √100 = 10
Answer:
Option (a) is correct.
Step-by-step explanation:
Given : equation 2x + 3y ≤ 6
We have to choose out of given option the graph that shows the graph of the solution set of 2x + 3y ≤ 6
Consider the given equation 2x + 3y ≤ 6
We first find the points where the equation cut x- axis and y-axis.
Thus,
For x - axis put y = 0 ,
We get 2x + 3(0) ≤ 6 ⇒ 2x ≤ 6 ⇒ x ≤ 3
Thus, point (3,0)
For y - axis put x = 0 ,
We get 2(0) + 3y ≤ 6 ⇒ 3y ≤ 6 ⇒ y ≤ 2
Thus, point (0,2)
For region we choose a test point and find the value of x and y on that test point and check whether it satisfy the inequality satisfies or not.
Consider the point (0, 0) , then inequality becomes,
2(0) + 3(0) ≤ 6 ⇒ 0 ≤ 6 (true)
Hence, region below the line will be considered.
Thus, Option (a) is correct.
Answer:
Equation of the circle is :
Step-by-step explanation:
Let us consider the image attached in the answer area.
The center<em> O</em> has the co-ordinates i.e. <em>(-5,2)</em> and the diameter given is <em>12 units</em>.
We know that radius is half of diameter.
The equation for circle given the center and radius, can be represented as:
Where <em>(a,b)</em> is the co-ordinate of center and <em>r</em> is the radius.
Let us consider the following formula:
Hence, Equation of the circle is :