Answer:
D) {-5,1}
R) {-4,7}
x (-31/11,0)
y (0,31/6)
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Answer:
m= 1/4
Step-by-step explanation:
1) Take two points. Let's use the first and second. Subtract one y coordinate from the other. 6 - 5 = 1
2) Do the same process with the x coordinates. 0 - -4 = 4 (0 + 4)
3) Make the answer from the y coordinates the numerator and the answer from the x coordinates the denominator, and you have your final answer: 1/4
Answer:
69.94 miles
Step-by-step explanation:
The distance d₁ the first ship moves after 3 hours is 3 hours × 15 miles per hours = 45 miles
The distance d₂ the second ship moves after 3 hours is 3 hours × 12 miles per hours = 36 miles.
The angle the first ship's direction makes in the North-East direction is 90° - 75° = 15°
The angle the second ship's direction makes in the South-West direction = 14°
The distance moved by the two ships form the side of a triangle. The angle, θ between the two ship directions is 14° + 90° + 15° = 119°
Using the cosine rule, we find the distance d between the two ships
d = √(d₁² + d₂² -2d₁d₂cosθ)
= √(45² + 36² -2×45×36cos119°)
= √(2025 + 1296- (-1570.78))
= √(3321 + 1570.78)
= √4891.78
= 69.94 miles
If we want to calculate a, then cos(60°) = a/12, but we know that cos(60°) = 1/2,
then 1/2 = a/12 and a = 6
If we want to calculate b, then sin(60°) = b/12, but we know that cos(60°) = (√3)/2
then (√3)/2 = b/12 and b = 6√3
Answer:
4 ft
Step-by-step explanation:
I am estimating for the points lol