The roots of the given polynomials exist , and .
<h3>What is the formula of the quadratic equation?</h3>
For a quadratic equation of the form the solutions are
Therefore by using the formula we have
Let, a = 1, b = -16 and c = 54
Substitute the values in the above equation, and we get
simplifying the equation, we get
Therefore, the roots of the given polynomials are , and
.
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Answer:
Irregular polygons are polygons that do not have equal sides or equal angles. When finding the area of an irregular polygon, partition the polygon into smaller regular polygon shapes. You can then plug those measurements into their respective area formulas and multiply to find the area of one part of the shape.
This is 16cm.
Answer:
The equation of the line is y - 3 = 2.5(x - 2) ⇒ D
Step-by-step explanation:
The rule of the slope of a line is m = , where
- (x1, y1) and (x2, y2) are two points on the line
The point-slope form of a line is y - y1 = m(x - x1), where
- (x1, y1) is a point on the line
From the given figure
∵ The line passes through points (2, 3) and (0, -2)
∴ x1 = 2 and y1 = 3
∴ x2 = 0 and y2 = -2
→ Substitute them in the rule of the slope to find it
∵ m =
∴ m = 2.5
→ Substitute the values of m, x1, y1 in the form of the equation above
∵ m = 2.5, x1 = 2, y1 = 3
∵ y - 3 = 2.5(x - 2)
∴ The equation of the line is y - 3 = 2.5(x - 2)
Subtract 7 from both sides
x^2 - 6x - 7 = 7 - 7
Simplify
x^2 - 6x - 7 = 0
Answer :
The final solutions to the quadratic equation are:
x = 7, -1
My answer is B and A that's my answer