Answer:
The values of y would be -9 and 15
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
we have
S(-2,3) and T(3,y)
substitute the given values in the formula and solve for y
squared both sides
take square root both sides
therefore
The values of y would be -9 and 15
1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.
2)The solution for b² - 4b + 4 = 0 is x=2.
<u>Step-by-step explanation</u>:
The general form of quadratic equation is ax²+bx+c = 0
where
<u>To find the roots :</u>
1) The given quadratic equation is m² - 5m - 14 = 0.
From the above equation, it can be determined that b = -5 and c = -14
The roots are -7 and 2.
The solution is given by (x-7) (x+2) = 0.
Therefore, the solutions are x=7 and x= -2.
2) The given quadratic equation is b² - 4b + 4 = 0.
From the above equation, it can be determined that b = -4 and c = 4
The roots are -2 and -2.
The solution is given by (x-2) (x-2) = 0.
Therefore, the solution is x=2.