Help me please
I want the step by step explanation!!

The length of AB is 4.12cm and AD is 9.93cm

Step-by-step explanation:

Using the formula, a²=b²+c²-2(b)(c)cosA to find the length :

cos ∠ACB = 0.6

∠ACB = 53.1° (1d.p)

c² = 5² + 4² - 2(5)(4)cos(53.1)

= 16.98 cm

c =√16.98

= 4.12 cm

AB = 4.12 cm

∠ACD = 180° - ∠ACB

= 180° - 53.1°

= 126.9°

c² = 7² + 4² - 2(7)(4)cos(126.9)

= 98.62 cm

c = √98.62

= 9.93 cm

AD = 9.93cm

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.