Answer:
Step-by-step explanation:
The center of the circle whose diameter has endpoints (18, -13) and (4, -3) will be the midpoint of the coordinates.
The ormua for calculating mid point is expressed as;
M(X,Y) ={(x21+x2/2, y1+y2/2}
X= x1+x2/2
Y = y1+y2/2
From the coordinates
x1 = 18 x2 = 4
X= 18+4/2
X = 22/2
X = 11
y1= -13, y2= -3
Y = -3-13/2
Y = -16/2
Y = -8
Hence the required centre will be at (11,-8)
Answer:
D
Step-by-step explanation:
The shortest side is the side opposite the smallest angle, the longest side is opposite the largest angle.
First find the measure of the angles in the triangle.
The sum of the 3 angles = 180° then
5x + 40 + 10x + 7x + 8 = 180
22x + 48 = 180 ( subtract 48 from both sides )
22x = 132 ( divide both sides by 22 )
x = 6
Then
∠ A = 7x + 8 = 7(6) + 8 = 42 + 8 = 50°
∠ B = 5x + 40 = 5(6) + 40 = 30 + 40 = 70°
∠ C = 10x = 10(6) = 60°
The shortest side is opposite ∠ A , that is BC
The longest side is opposite ∠ B , that is AC
The sides in order from shortest to longest are
BC, AB, AC → D
The simplified solution to this equation is 5x - 115.
Red: (5 x 1,350)/9 = 750
Blue: (3 x 1,350)/9 = 450
White: (1 x 1,350)/9 = 150
Answer:
B
Step-by-step explanation:
Looking at the graph we can see that the function is increasing -4<x<-2 and 0<x2
The graph is increasing when it is going upwards, or has a slope greater than 0
We can see that happening in two places in the function, which are the intervals of the x coordinate in B