Answer:

Step-by-step explanation:
we are given triangle as
we know that
triangle PRS and triangle PQS are similar
so, the ratios of their sides must be equal
we get

now, we are given
RS=4
QS=6
we can plug it



now, we can solve for PS

Answer:m=3
Step-by-step explanation:
Answer:
Zero real roots:
f(x) = x^2-x+1
f(x) = x^2+2x+3
One real root:
Two real roots:
f(x)=x^2+2x+1
f(x)=x^2-3x+2
Step-by-step explanation:
These were determined by using the quadratic formula.