Answer:
(x-5)^2+(y+4)^2=100
Step-by-step explanation:
As we know the given points
Center = (5, -4)
and
Point on circle = (-3,2)
The distance between point on circle and center will give us the radius of circle
So,
The formula for distance is:

The standard form of equation of circle is:

where h and k are the coordinates of the center. So putting in the value:

Answer:
3 triangles
Step-by-step explanation:
Perimeter of triangle = a + b + c
Given that :
P = 12
and a, b, c are natural numbers
Let :
Side A = a
Side B = b
Side C = 12 - (a + b)
Side A + side B > side C - - - (condition 1)
a + b > 12 - (a + b)
a + b > 12 - a - b
a + a + b + b > 12
2a + 2b > 12
2(a + b) > 12
a + b > 6
Side A - side B < side C
a - b < 12 - (a + b)
a - b + a + b < 12
2a < 12
a < 6
b < 6 (arbitrary point)
Going by the Constraint above :
The only three possibilities are :
(2, 5, 5)
(3, 4, 5)
(4, 4, 4)
Total number of triangle = 3
Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1
Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1
The translation of four units up describes the transform function g(x) option first is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The question is:
The graph shows f(x)=(1/2)ˣ and its translation, g(x).
Which describes the translation of f(x) to g(x)?
- Translation of four units up
- Translation of five units up
- Translation of four units to the right
- Translation of five units to the right
The graph is attached please refer to the picture.
We have the equation of the function f(x):

From the graph, we can see the graph of the function f(x) is shifted up 4 units because the y-intercept of the graph g(x) is (0, 5)
g(x) = f(x) + 4

Thus, the translation of four units up describes the transform function g(x) option first is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
Hypotenuse is the longest side of a right triangle. It is equal to the sum of the squares on the other two sides.