Answer:
discriminant =0
1 real root
Step-by-step explanation:
The discriminant is b^2 -4ac
when the equation is written in the form ax^2 +bx+c
f(x) = 3x^2 +24x+48
a = 3 b = 24 and c =48
discriminant = 24^2 - 4(3)*(48)
=576-576
=0
If the discriminant >0 we have 2 real roots
if discriminant = 0 we have 1 real root
if discriminant <0 we have 2 complex roots
Answer:
3
Step-by-step explanation:
the perpendicular slope is the negative reciprocal.
-1 divided by -1/3 = 3
<h3>Given</h3>
A(-3, 1), B(4, 5)
<h3>Find</h3>
coordinates of P on AB such that AP/PB = 5/2
<h3>Solution</h3>
AP/PB = 5/2 . . . . . desired result
2AP = 5PB . . . . . . multiply by 2PB
2(P-A) = 5(B-P) . . . meaning of the above
2P -2A = 5B -5P . . eliminate parentheses
7P = 2A +5B . . . . . collect P terms
P = (2A +5B)/7 . . . .divide by the coefficient of P
P = (2(-3, 1) +5(4, 5))/7 . . . . substitute the given points
P = (-6+20, 2+25)/7 . . . . . . simplify
P = (2, 3 6/7)
