Answer:
4x−7
Step-by-step explanation:
Being given our polynomial:
+ x - 14,
We must find the roots to get our answer.
x = (- 1 ± √(1 - 4*4*(-14)) / 8
x = (- 1 ± √225) / 8
x = ( -1 ± 15) / 8
x₁ = (- 1 + 15)/ 8 = 14/8 = 7 / 4
x₂ = (- 1 - 15) / 8 = - 16/2 = - 8
The factors we came up with:
(x - x₁)(x - x₂)
(x - 7/4)(x + 8)
1/4(4x - 7)(x + 8)
So,
The correct option is C.
:)
Answer:
The following Triangles are Right Triangles:
1. Δ ABC Where AB = 76 in, BC = 357 in, and AC = 365 in.
2. Δ MIT Where MI = 123 cm, IT = 836 cm, and MT = 845 cm.
3. Δ MEL Where ME = 20 ft, EL = 99 ft, and ML = 101 ft.
Step-by-step explanation:
For a Triangle to be a Right Triangle it must Satisfy Pythagoras theorem.
i.e.
For Δ ABC Where AB = 76 in, BC = 357 in, and AC = 365 in.
AC² = 365² = 133225
AB² + BC² = 76² + 357² = 1333225
∴ AC² = AB² + BC²
Hence Δ ABC a Right Triangle.
For Δ MIT Where MI = 123 cm, IT = 836 cm, and MT = 845 cm.
MT² = 845² = 71405
MI² + IT² = 123² + 836² = 714025
∴ MT² = MI² + IT²
Hence Δ MIT a Right Triangle.
For Δ MEL Where ME = 20 ft, EL = 99 ft, and ML = 101 ft.
ML² = 101² = 10201
ME² + EL² = 20² + 99² = 10201
∴ ML² = ME² + EL²
Hence Δ MEL a Right Triangle.
