The product of two numbers is 4, while their sum is 52. Find the sum of the reciprocals of the numbers. Work shown pls!

Step-by-step explanation:

Given :-

And we need to find the sum of reciprocals of the numbers. For that let us assume that the numbers are .

According to 1st condition :-

Now expressing this equation by keeping only one variable on one side as ,

According to 2nd condition :-

On solving the equation using quadratic Formula we will get the value of y as ,

Now we need to find out the sum of reciprocal of the two numbers . That will be ,

Hence the sum of their reciprocals is 13 .

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

could you provide figure.