The given quadratic equation is

comparing with

We get ,

formula :

Discriminant of given quadratic equation is 25 .
option (B) 25 ✔
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Answer:
- y-intercept: (0, -6)
- x-intercepts: (-3, 0), (-1, 0), (1, 0)
Step-by-step explanation:
We notice the first pair of coefficients is the same as the last pair (with the sign changed). This means we can factor by grouping.
f(x) = (2x^3 +6x^2) -(2x +6)
f(x) = 2x^2(x +3) -2(x +3)
f(x) = 2(x^2 -1)(x +3) = 2(x -1)(x +1)(x +3)
The factors are made to be zero when x is 1, -1, or -3.
The x-intercepts are (1, 0), (-1, 0), (-3, 0).
The y-intercept is the constant, -6.
Answer: 1. 2262
Step-by-step explanation:
Step-by-step explanation:
a=20⁰ vertically opposite angles are equal
b=160⁰ sum of angles on a straight line add up to 180⁰
(180⁰-20⁰=60⁰)
c=125⁰ sum of angles on a straight line add up to 180⁰
(180⁰-35⁰-20⁰=125⁰)
We consider the x- and y-coordinates separately. Let the coordinates of G be (x, y). Now considering the x-coordinates:
FG/FH = (x - (-3)) / (-3 - (-3)) = 2/3
x + 3 = (2/3)(6)
x = 1
For the y-coordinates:
FG/FH = (y - 2) / (7 - 2) = 2/3
y - 2 = (2/3)(5)
y = 16/3
Therefore the coordinates of G are (1, 16/3).