Answer:
x=2y/7
Step-by-step explanation:
y=7x^1/2
7/2x=y
7/2x/7/2=y/7/2
Answer:
y = -1/3x - 5/3
Step-by-step explanation:
The slope of a line is the ratio of vertical distance to horizontal distance between the points. Since the line has to cross through the point (-5,0), count out the slope -1/3 by moving down 1 unit and to the right 3 units. This places the line between -1 and -2 on the y-axis. Looking at the options listed for b in y = mx + b. b = -5/3 is the best option and is between -1 and -2.
A circle with center
and radius
has equation

If we substitute
in this equation, we have

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

The expression simplifies to

The solutions to the associated equation are

So, the parabola is negative between the two solutions:

Sin (a+b) = sin a. cos b + cos a. sin b
a= 50° and b=40°, then
sin(50+40) = sin 50° . cos 40° + cos 50° . sin 40°
sin(50+40) = sin 90° = 1 and
sin 50° . cos 40° + cos 50° . sin 40° = 1