The standard form of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle, (x,y) is a point of the circle, and r is the length of the radius of the circle. When the equation of a circle is written, h,k, and r are numbers, while x and y are still variables. (x-2)^2 + (y-k)^2 = 16 is an example of a circle. The problem gives us two of the three things that a circle has, a point (5,9) and the center (-2,3). We need to find the radius in order to write the equation. We substitute -2 for h, 3 for k, 5 for x, and 9 for y to get (5 - (-2))^2 + (9 - 3)^2 = r^2 We simplify: 49 + 36 = r^2, r^2 = 85. We only need to know r^2 because the equation of a circle has r^2. We now have all the information to write the equation of a circle. (x + 2)^2 + (y - 3)^2 = 85.
The sides of the rectangle are:
xy = 39
2x + 2y
Solve by simultaneous equation:
ysquared -17y + 30 = 0
Solution:
The sides are equal to 15 and 2
Answer:
Step-by-step explanation:
This is the image of the graph you determine if that's perpendicular.
Perpendicular definition - In elementary geometry, the property of being perpendicular is the relationship between two lines which meet at a right angle. The property extends to other related geometric objects. A line is said to be perpendicular to another line if the two lines intersect at a right angle.
we know that
the fourth point is plotted 5 units to the right of (-4,4)
so
the coordinate x of the fourth point is equal to
-4+5=1
the y-coordinate of the fourth point is the same y coordinate of (-4,4)
therefore
the coordinates of the fourth point is (1,4)
