Answer:
1
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Trigonometric functions are used to show the relationship between the angles of a triangles and the sides of the triangle. For a right angled triangle, the ratio of the sides can be gotten using trigonometric functions such as:
cosθ = adjacent/hypotenuse, sinθ = opposite/hypotenuse, tanθ = opposite/adjacent
Given the right angle triangle:
cos(A) = adjacent / hypotenuse = 3 / 4.24
cos(A) = 3 / 4.25
cos(B) = adjacent / hypotenuse = 3 / 4.24
cos(B) = 3 / 4.24
cos(A) / cos(B) = (3 / 4.24) ÷ (3 / 4.24) = 1
cos(A) / cos(B) = 1
Step-by-step explanation: Notice that the two equations in this problem have the same slope of -1/4 but different y-intercepts.
When lines have the same slopes, they are parallel.
Parallel lines never meet/intersect so there is no solution.
Standard Form: Ax + By = C
x-intercept = 9: A(9) + B(0) = C ⇒ 9A = C
y-intercept = 3: A(0) + B(3) = C ⇒ 3B = C
Using substitution, 9A = 3B ⇒ 3A = B
Ax + By = C ⇒ Ax + (3A)y = C
Answer: 3x + 9y = 27 → x + 3y = 9