Answer: b) -0.625
<u>Step-by-step explanation:</u>
The formula for the z-score is:
Answer:
BM: <u>y = (2/3) x + 16/3</u> with segment length of 2.77
Step-by-step explanation:
AC formula: m = (6-0)/(0-4) = -3/2
(y-0)/(x-4) = -3/2 y = (-3/2)x + 6 ... (1)
BM slope: BM⊥ AC m = 2/3
BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3
y-4 = 2/3 x + 4/3
<u>y = (2/3) x + 16/3</u> ... (2) -2≤x≤0.31
intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3
(13/6) x = 2/3 x = (2/3) / (13/6) = 4/13 ≈ 0.31
y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54
M (4/13 , 72/13) or (0.31 , 5.54)
segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77
Answer:
AB = 2
Step-by-step explanation:
Using the secant- secant theorem, that is
PA × PB = PD × PC , substitute values
10(10 + AB) = 8(8 + 7)
100 + 10AB = 8 × 15 = 120 ( subtract 100 from both sides )
10AB = 20 ( divide both sides by 10 )
AB = 2
Answer:
Choice 3
Step-by-step explanation:
add 63 and 64 which gives you 127. Then you subtract 180 and 127. This gives you 53. 63+53+64=180. Know that the angle is 180 degrees too so you don't even have to do math.