Determine the equation of the straight line that passes through 0 and which is perpendicular to the line with the equation, y = 2x. Solution
The line y=2x has a gradient 2.

Therefore, the required line has a gradient -1/2

(Using the fact that the product of the gradients of perpendicular lines = - 1)

The equation of the
the required line
line is

(y-0)/(x-0) = -1/2. 2y= -x

Someone please explain-

Therefore, the required line y = 2x has gradient -1/2

How did it reach to this conclusion?​

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

the answer is (-4,-4)

hope this ! : d

2 over 5 and 4 over 15

don’t know last one sorry

step-by-step explanation: