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what is the value of y so that the distance between the points (-2,2 ) (2,y) is 7? show complete solution​

Sagot :

C41992idn

Answer:

y = 30

Step-by-step explanation:

use distance formula:

(y-2)/(2--2) = 7

(y-2)/4 = 7

y-2 = 28

y= 30

Answer:

There are two values of y:

y = 2 + √33  or y ≈ 7.745

or

y = 2 - √33  or  y ≈ -3.745

Step-by-step explanation:

Use the Distance Formula to find the y-coordinate for the second point

  • (2, y)

The equation will progress into quadratic equation.  

  • Use Quadratic Formula or Completing the Square to solve for the value of y.
  • Since it is a quadratic equation, there is a maximum of two roots. Hence, two values of y.

Please see attached image to view my complete solution.  I included the graph so you can visualize the graph for two values of y.

View image Аноним
View image Аноним
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