1 19/100 is your answer........
I think it’s B if not srry
Answer:
The value of a is "3", to complete the coordinate point (3,7) on the line.
Step-by-step explanation:
We are given the slope of the line, and also one point through which the line passes. Therefore, we can find the actual equation of the line by using the slope-point form of the line:
Now, we need to find which value of "x" renders a y-value of "7", to complete the coordinate pair (a, 7) as requested. Therefore, we ask for the y-value in the previous equation to be "7", and solve for its associated x-value:
Therefore, x = 3
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
Answer:
15a² + 21a + 19 = 0
Step-by-step explanation:
Given
(4a + 3)² = (a + 5)(a - 2)
(4a + 3)(4a + 3) = (a + 5)(a - 2 ) ← expand both sides using FOIL
16a² + 24a + 9 = a² + 3a - 10 ( subtract a² + 3a - 10 from both sides )
16a² - a² + 24a - 3a + 9 + 10 = 0 ← collect like terms
15a² + 21a + 19 = 0
