Step-by-step explanation:
16. Length of a line = sqaureroot of ((x1-x0)^2 - (y1- y0)^2)
C (2,-3) D (6,3)
CD = sqaureroot of ((6-2)^2 + (3-(-3))^2)
CD = sqaureroot of ( 16 + 36)
CD = sqaureroot of 52 = 2 root 13 = length
17. E (5, - 1) because the point is under the x axis.
Midpoint = ((x1+ x0)/2 , (y1 +y0) /2)
B (8,1) C (2, - 3)
Midpoint of BC = ((2+8)/2 , (-3+1)/2)
= (10/2 , - 2/2)
= (5, - 1)
18. Length of AE
A (4,5) E(5,-1)
Square root of ((5-4)^2 + (-1-5)^2)
Square root of (1^2 + - 6^2)
Square root of ( 1 + 36)
Square root of 37 = root 37
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The ratio of circumference to diameter is independent of the radius.
Defining C=circumference, r=radius, D=diameter = 2r
Circumference = C = 2 π r = π D
=>
ratio of circumference / diameter
= C/D = π
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Answer:$ 7425.89
Step-by-step explanation:
Formula to find the compound amount ( compounded semiannually) :-
, where P is the principal amount, r is rate of interest ( in decimal), and n is time in years.
Given : P= $7000
r=2.975%=0.02975
Time : n= 2
Then, The amount in account after 2 years:-

Hence, Amount in account after 2 years = $ 7425.89
Y=-12
explanation multiply x by -3 to get y