The standard equation for a circle with center at (h,k) and radius r is
(x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle.
The formula for the circumference of a circle is C = 2pi*r. In this particular problem, we need to determine the radius of the circle. That radius is: r = C/[2pi]. Here, C = 22pi, so we get r = 22pi/[2pi], and so r^2 = 11^2.
Putting to use the given info, we have:
(x+14)^2 + (y-5)^2 = 11^2
Answer:
x = 55°
Step-by-step explanation:
Hello!
The sum of angles in a triangle is 180°.
To solve for x, we have to subtract the given angles from 180°.
<h3>Solve for x</h3>
- 180° = ∠1 + ∠2 + ∠x
- 180° = 75° + 50° + x°
- 180° - 75° - 50° = x°
- 55° = x°
The value of x is 55°.
Answer:
The correct option is the last one.
Step-by-step explanation:
To transform the graph of
into
the following steps are fulfilled:
1) Move the graph 2 units to the right:
Let
then
Notice that the cut point has been moved to x = 2.
2) Reflect on the x axis:
To reflect a graph on the x-axis we do
Then 
3) Stretch according to factor 2.
For this we do 
Then we have
4) Move up the graph in two units:
We do 
Then 
These steps coincide with those listed in the last option. Therefore the correct option is the last one.
"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"
Answer:
1. No
2. No
3. Yes
4. No
Step-by-step explanation:
The first one isn't proportional because it doesn't start at 0
The second one isn't proportional because there isn't a pattern between the coordinates
The 3rd one is a proportional relationship because it starts at 0 and there is an equal amount of space between each coordinate and there is evidentially a pattern.
Finally, the 4th one isn't proportional because the last coordinate doesn't correspond w/ the others
Plz mark me brainliest if correct :)
Answer:
Area = 33√3
Perimeter = 122
Step-by-step explanation:
This is a parallelogram and perimeter for a parallelogram is calculated by adding side length to base and that's multiplied by 2
perimeter (6 + 11) × 2 = 122
The area is calculated by multiplying height to the base
there's a 30° 60° 90° special triangle inside the parallelogram and the side length that sees 60° in this special triangle is 3√3 so this is our height and base is given as 11
Therefore the area of this parallelogram is
3√3 × 11 = 33√3