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How does the value a affect the width of the parabola?

In a quadratic equation of the form (y = ax^2 + bx + c), the value of (a) determines the width of the parabola. If (|a|) is greater than 1, the parabola is narrower, indicating that it opens more steeply. Conversely, if (|a|) is less than 1, the parabola is wider, meaning it opens more gently. The sign of (a) also affects the direction of the opening: positive values open upwards, while negative values open downwards.


How do you find the length and width of a rectangle when given the area and perimeter?

By forming a quadratic equation from the information given and then the length and width can be found by solving the equation.


What is the quadratic equation and area of a rectangle when its length is 7 cm greater than its width which is 3x cm?

Quadratic equation: 9x2-21x+12.25 = 0 Area: 36.75 square cm


The Perimeter of a rectangle is 56cm The length is 2cm less than twice the width find the length and width?

length=18cm width=10cm (you use a system of equations: 2L+2W=56, L=2W-2)


The perimeter of a rectangle is 16 times the width the length is 12cm more than the width what are the length and width of the rectangle?

length 14cm, width 2cm This is worked out by finding the following equations: perimeter = 16 x width length = width + 12 Then working out 16 x width = 2 x (width + 12) + 2 x width -> 14 x width = 2 x (width + 12) -> 14 x width = 2 x width + 24 -> 12 x width = 24 -> width = 2cm Since lendth = width + 12, length = 14cm

Related Questions

How do you find the length and width of a rectangle when given the area and perimeter?

By forming a quadratic equation from the information given and then the length and width can be found by solving the equation.


What does 14mm mean for a watch band?

MM is millimeter. Determines the width of the piece. The watch band is 14mm in width.


What determines the size of a belt sander?

The width of the rollers and distance they are apart.


What determines the size of an object?

Three dimensions: Height Width Length


What is the quadratic equation and area of a rectangle when its length is 7 cm greater than its width which is 3x cm?

Quadratic equation: 9x2-21x+12.25 = 0 Area: 36.75 square cm


What determines the size of a portable belt sander?

The width of the rollers and distance they are apart.


What determines the amount of data that can be sent at one time?

bus width


What is the equation Area length X width used for?

the equations tell you what the surface area of somthing is


The Perimeter of a rectangle is 56cm The length is 2cm less than twice the width find the length and width?

length=18cm width=10cm (you use a system of equations: 2L+2W=56, L=2W-2)


Can autofit determines the best width for a column or the best height for a row based on its contents?

yes


What is a real life example of factoring quadratic equations with solution?

Example:- What are the dimensions of a rectangle when its length is greater than its width by 4 cm and has an area of 96 square cm? Let the length be x+4 and the width x: length*width = area (x+4)*x = 96 => x2+4x-96 = 0 => (x+12)(x-8) = 0 when factored So: x = -12 or x = 8 the dimensions can't be negative Solution: length = 12 cm and width = 8 cm Check: 12*8 = 96 square cm


Determines the best width for a colume or the best height for a row based on its contents?

Everyone reading this is gay!