Answer:
y=2/9x-1/3
Step-by-step explanation:
since line h is parallel to line g, this means that line h has the same slope as line g.
line h's slope would be 2/9.
to find the y-intercept, plug (-3, -1) into the equation y=2/9x+b. -3 will represent x and -1 will represent y:
y=2/9x+b
-1=2/9(-3)+b
Then, solve for b:
-1=2/9(-3)+b
-1=-6/9+b
b=-1/3
so, the equation for line g is: y=2/9x-1/3
I choose A. 0, because the angles are complementary
Answer:
Step-by-step explanation:
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The magnitude of the resulting vector, u - v, is approximately 5.83
and its angle of direction is approximately 59.04°.
<h3>How to find the magnitude of the resulting vector?</h3>
We want to subtract vector v from vector u.
We are given;
v = <2, -3> = 2i - 3j
u = <5, 2> = 5i + 2j
u - v = 5i + 2j - (2i - 3j)
= 5i + 2j - 2i + 3j
= 3i + 5j
Resultant vector = √(3² + 5²)
Resultant vector = √34 ≈ 5.83
Angle of direction of resultant vector is;
tan θ = (5/3)
θ = tan⁻¹(5/3)
θ = 59.04°
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Answer:
Step-by-step explanation:
The system of equations (a) is the correct one for this situation. We must now solve this system for x and y, which are the unit costs.
Multiplying the 2nd equation by (-3/2) yields -12x - 18y = -168.
Now eliminate x by combining the two equations
12x + 5 y = 116
-12x -18y = - 168
-------------------------
-13y = -52, or y = 4.
If y = 4 then 12x + 5y = 116, or
12x +5(4) = 116, or
12x + 20 = 116, or
12x = 96, or x = 8
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