ANSWER
The other zero is

EXPLANATION
The axis of symmetry serves as the midpoint of the two zeroes.
We were given that the axis of symmetry of the quadratic equation is

We were also given that, one of the zeroes of the quadratic equation is

Let the other zero of the quadratic equation be

,then, we apply the midpoint formula to find the value of

Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,

We substitute to obtain,

We multiply through by 2 to get,

This implies that,

Answer:
x = 1 or x = -5
Step-by-step explanation:
We are given;
- The quadratic equation, x² + 4x - 13 = -8
We are required to solve the equation using the completing square method.
To do this, we use the following steps;
Step 1: We make sure the coefficient of x² is one
x² + 4x - 13 = -8
Step 2: Combine the like terms (take the constant term to the other side)
x² + 4x - 13 = -8
x² + 4x = -8 + 13
we get
x² + 4x = 5
Step 3: We add the square of half the coefficient of x on both sides of the equation
Coefficient of x = 4
Half of coefficient of x = 2
Square of half the coefficient of x = 2² (4)
We get;
x² + 4x + (2²) = 5 + (2²)
Step 4: Put x and 2 under one square and the solve the other side of the equation.
We get
(x + 2)² = 5 + 4
(x + 2)² = 9
Step 5: Get the square root on both sides of the equation;
(x + 2)² = 9
√(x + 2)² = ±√9
(x + 2)= ±3
Therefore;
x+2 = + 3 or x + 2 = -3
Thus, x = 1 or -5
The solution of the equation is x = 1 or x = -5
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Answer:
20.25 mm
Step-by-step explanation:
Arc length is given by the relation ...
s = rθ
where r is the radius and θ is the central angle in radians.
There are π radians in 180°, so the arc length is ...
s = (5 mm)(232°×π/180°) = 20.25 mm
The arc length is about 20.25 mm.
Answer: A
Step-by-step explanation:
The solution to the inequality is x <= -5 and x>=-3 so A is correct