Answer:

Step-by-step explanation:
The equation of a circle in standard form:

(h, k) - center
r - radius
1. We have the equation:

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2. We have the center (-4, 3) and the radius r = 6. Substitute:

3. We have the endpoints of the diameter: (-1, 6) and (5, -4).
Midpoint of diameter is a center of a circle.
The formula of a midpoint:

Substitute:

The center is in (2, 1).
The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.
The formula of a distance between two points:

Substitute the coordinates of the points (2, 1) and (5, -4):

Finally we have:

Answer:
sorry not in that grade
Step-by-step explanation:
Answer:
105 km
Step-by-step explanation:
Written as a proportion, the ratio of km to cm will be the same for both distances:
(x km)/(17.5 cm) = (15 km)/(2.5 cm)
x km = (15 km)(17.5/2.5) = 105 km
105 actual kilometers are represented by 17.5 cm on the map.
Answer:
A: 48in2
Step-by-step explanation:
Area of a rectangle = Length x Width
The complete figure is rectangular in shape with:
Length = 11 in
Width = 5 in
Area = 11 x 5
Area = 55 in2
The pink part is triangular in shape with:
height = 4in
Base = 3.5 in
Area of a triangle = 0.5 x base x height
Area of the pink portion = 0.5 x 3.5 x 4
Area of the pink portion = 7 in2
Area of the blue portion = (total Area) - (Area of the pink portion)
Area of the blue portion = 55 in2 - 7 in2
Area of the blue portion = 48 in 2
Hope this help you!