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:
the rate of the first cyclist: 28km/h
the rate of the 2nd cyclist 28+4= 32km/h
Step-by-step explanation:
x= the rate of the first cyclist
x+4= the rate of the 2nd cyclist
after 4 hours: + the first cyclist travels 4x (km)
+ the 2nd cyclist travels 4(x+4) (km)
because the two cyclists are 240 km apart after 4 hours
=> 4x + 4(x+4) = 240 => x= 28
i hope it's useful forr u =)))
The polynomial –2x^2 – x + 2 is a monomial , binomial or trinomial
with a degree of 1 , 2 3 or 4. Your answer is 2.