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
It would be: 289*24/100 = 6936/100 = 69.36
Answer:
36.4mi
Step-by-step explanation:
The boat sailed two legs of a right-angled triangle.
The distance from the starting point is the hypotenuse of the triangle.
d = √(35² + 10²)
= √(1225 + 100)
= √1325
= 36.4 mi
Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Illustration: ... Notice how the pairs of alternating exterior angles lie on opposite sides of the transversal but outside the two parallel lines.
Hello from MrBillDoesMath!
Answer:
Choice A, 18x - 6y = 20
Discussion:
Given line
-9x + 3y = 12 (M)
Choice A:
18x - 6y = 20 => divide both sides by -2
-9x + 3y = -10 (N)
The left hand sides of (M) and (N) are equal implying that right hand sides are equal which further implies 12 = -10. Contradiction! so the system M and N has no solution.
Thank you,
MrB
