Answer:
P (-1 , 0)
Step-by-step explanation:
M (-6 , 2) N (9 , -4) P (x , y)
horizontal distance of M and N = 9 - (-6) = 15
vertical distance of M and N = 2 - (-4) = 6
1/3 from x coordinate of M (-6): -6 + 15/3 = -1 This is x coordinate of point P
1/3 from y coordinate of M (2): 2 - 6/3 = 0 This is y coordinate of point P
P (x , y) i.e P (-1 , 0)
check: distance of MP = √(-1 - (-6))² + (0 - 2)² = √29 = 5.385
distance of PN = √(-1 - 9)² + (0 - (-4))² = √116 = 10.77
MP / PN = 5.385 / 10.77 = 0.5 = 1/2
Answer: 1/16 because 1 to the power of anything is the same. 2 to the power of 4 is 16 so 1/16
Answer:
The graph is attached.
Step-by-step explanation:
The range of this data is the highest value, 22, subtracted by the lowest value, 1: 22-1 = 21.
Using boundaries, the first bar would go from 0.5-3.5; the second from 3.5-6.5; the third from 6.5-9.5; the fourth from 9.5-12.5; the fifth from 12.5-15.5; the sixth from 15.5-18.5; the seventh from 18.5-21.5; and the eighth from 21.5-24.5.
The frequency of the first bar, its height, would be 1; the height of the second bar is 2; the height of the third bar is 3; the height of the fourth bar is 2; the height of the fifth bar is 3; the height of the sixth bar is 1; the height of the seventh bar is 1; and the height of the eighth bar is 1.
Answer:
D) 20
Step-by-step explanation:
x^2 + (y - 2)^2=100
This can be rewritten as
(x-0)^2 + (y - 2)^2=10^2
This is in the form
(x-h)^2 + (y - k)^2=r^2
The radius is 10
The diameter is 2 times the radius
d = 2*r = 2*10 = 20
Answer:
4410
Step-by-step explanation:
A=Px(1+R)^n
4000x(1+0.05)^2=4410