5
which of the following lines is perpendicular to the line y = -3x +
2 and passes through the point (-2, 8)?
a y=-3x + 26
b y = 5x+15
cy= 3x + 39
d5y = 3x + 1

Step-by-step explanation:

Two perpendicular line means one's slope is negative inverse to the another one.

Therefore, the slope of y = -3x + 2 is -3.

Assume its perpendicular line is 3y = x +k, this line pass through (-2,8)

24 = (-2) + k => k = 26

3y = x+26

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).