Y= x^2+2x+5 is the equation I WILL MARK BRAINLIEST

answer Given equation of parabola is

y=x

2

−2x+5(i)

By putting x

1

=1,x

2

=3 in Eq (i) we get

y

1

=4;y

2

=8

∴ Points on the parabola are (1,4) and (3,8)

Equation of the chord of given parabola by joining the points (1,4) and (3,8) will be

y−4=

3−1

8−4

(x−1)

y−4=2x−2

⇒ 2x−y+2=0

Now, equation of tangent parallel to chord will be

2x−y+k=0...(ii)

In given options, only option (b) satisfies the condition from Eq(iii)

i.e., 2x−y+1=0(iii)

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.