The equation of a line is y= -1/2x - 1 what is the equation of the line that is perpendicular to the first line and passes through the point (2, –5)?

y=2x-9 or D

Step-by-step explanation:

To get the slope of the perpendicular line, you find the negative reciprocal.  The negative reciprocal of -1/2 is 2.

Then, you need to find the y-intercept.  Considering the line has to pass through the point (2,-5), you can use the slope to find that the y-intercept is -9.  

could you provide figure.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft