The point of intersection of the two lines is at (1,-1)
<h3>System of equation</h3>
The given system of expression is shown below
x - 2y = 3
5x + 3y = 2
The solution to the system of equation is the point of intersection
From equation 1
x = 3 + 2y
Substitute into 2
5(3+2y) + 3y = 2
15 +10y + 3y = 2
13y = -13
y = -1
Substitute y = -1 into 3
x = 3 + 2y
x = 3+(-2)
x = 1
Hence the point of intersection of the two lines is at (1,-1)
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Answer:
slope = 3
point (2, 5)
b = y - m*x
b = 5 -3*2
b = -1
Then we enter the slope and the value of b into this equation:
y = mx + b
y = 3x -1
Source: https://www.1728.org/distance.htm
Step-by-step explanation:
63/9 + 40 - 35/7 =
7 + 40 - 5 =
47 - 5 =
42 <==
Answer:
7.7 km
Explanation:
Use cosine rule as here given two sides and one angle.
Cosine rule states:
a² = b² + c² - 2bc cos(A)
While solving, treat a = 7.5 km as to that opposite angle is given of 68°
then b = missing side, c = 5.2 km, A = 68°
Applying rule:
7.5² = b² + 5.2² - 2(b)(5.2) cos(68)
56.25 = b² + 27.04 - 3.8959b
56.25 - 27.04 = b² - 3.8959b
b² - 3.8959b = 29.21
b² - 3.8959b - 29.21 = 0
apply quadratic equation, Here [a = 1, b = - 3.8959, c = -29.21]




As length cannot be negative. Hence the value of b is only 7.7 km
4 x 365 = 1460
1460/100 =14.6
14.5 x 50 = 760lbs