Mercury is the closest planet to the sun at a distance of 36 million miles. The closest star to the sun is Proxima Centauri, which is 4.24 light years away. A light year is 5.9 x 10 to the 12th power. How many miles from the sun is Proxima Centauri?

2.36 * 10^13 miles

Step-by-step explanation:

Given that :

Proxima centauri is at a distance of 4.24 light years away from the sun.

Distance in miles of Proxima centauri from the sun ;

1 light year = 5.9 * 10^12 miles

Number of light years from the sun * 5.9 * 10^12

= 4 * (5.9 * 10^12)

= 23.6 * 10^12 miles

= 2.36 * 10^13 miles

bru

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3