The system of equations y = negative one-half x + 4 and y = 2x – 1 is shown on the graph below. On a coordinate plane, 2 lines intersect at (2, 3). According to the graph, what is the solution to this system of equations? (2, 3) (3, 2) (–1, 4) (4, –1)

(2 , 3)

Step-by-step explanation:

Lines intersection is the solution

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).