Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?y = one-half x minus 4 y = one-hal
2 answers:
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Answer:
Step-by-step explanation:
From the question we are told that
System of equations given as
x₁ + 3x₂ + x₃ + x₄ = 3;
2x₁ - 2x₂ + x₃ + 2x₄ = 8;
x₁ - 5x₂ + x₄ = 5
Matrix form
Generally the echelon reduction is mathematically applied as
Add -2 times the 1st row to the 2nd row
Multiply the 2nd row by -1/8
Add -1 times the 2nd row to the 3rd row
Multiply the 3rd row by -8/41
Add -1/8 times the 3rd row to the 2nd row
Add -1 times the 3rd row to the 1st row
Add -3 times the 2nd row to the 1st row
The length of AC is 16 km.
Solution:
Given data:
AB = c = 14 km, ∠A = 30° and ∠B = 89°
AC = b = ?
<u>Let us first find angle C:</u>
<em>Sum of all angles in a triangle = 180°</em>
m∠A+ m∠B + m∠C = 180°
30° + 89° + m∠C = 180°
119° + m∠C = 180°
Subtract 119° from both sides, we get
m∠C = 61°
<u>To find the length of AC:</u>
<em>Using sine formula:</em>
Substitute the given values in the formula.
Multiply by sin 89° on both sides.
The length of AC is 16 km.