1. One vertex of an equilateral triangle is A (0,0) and another is B (10,0). Let C be the third vertex, and let M be the midpoint of side BC. What is the slope of line AM? 2. Find the equation of the circle that has its center at the origin and is tangent to the line y=2x−2.
3. Find the coordinates of the point on the line y= -5x/12 + 5 nearest to the origin.

can you assist with the question and not reply with I don't understand the question like a previous response.

Malia is observing the velocity of a cyclist at different times. after two hours, the velocity of the cyclist is 15 km/h. after five hours, the velocity of the cyclist is 12 km/h. part a: write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. show your work and define the variables used. (5 points) part b: how can you graph the equations obtained in part a for the first 12 hours? (5 points) if you can try and make this as little confusing as you can

At his new job, jeremiah can choose an hourly rate of $9 plus a $50 weekly bonus for opening the store, or an hourly rate of $10 per hour with no opening bonus. the equations model his salary options. y = 9x + 50 y = 10x

Brent works part-time at a clothing store. he earns an hourly wage of $15. if he needs to earn more than $45 in a day and works for x hours a day, which inequality represents this situation? a. 15x > 45 b. 15x < 60 c. x > 60 d. 15x < 45 e. x < 60