0
area = width times height
x = height
x-12 = width
x (x-12) = x^2 - 12X = 400
x^2 - 12X - 400 = 0
solve for x using quadratic formula
X = (12 + SQRT(144 + 1600)) divided by 2
x = 26.88 = height
width = x -12 = 14.88
What else can I help you with?
The quadratic formula cannot be used to solve an equation if a term in the equation has a degree higher than?
Two.
The quadratic formula can be used to solve an equation only if the equation contains no term whose degree is higher than?
2
If a storm window has an area of 640 square inches what is the equation to find the dimensions when the window is 20 inches higher than it is wide?
H = W + 20; H x W = 640 ie W x (W + 20) = 640 ie W^2 + 20W - 640 = 0 This does not have a solution in integers, a close approximation is 17.2 x 37.2
Can centroid be negative?
A centroid is a location. A location cannot be positive nor negative! One or both coordinates can be negative. Or more coordinates in higher dimensions.
The volume of a box that's nine centimeters long six centimeters wide and three centimeters high is?
To find the volume of a rectangular solid (just like your box), you multiply the dimensions of Length, Width and Height. For your question: Volume = Length * Width * Height Volume = (9 cm) * (6 cm) * (3 cm) Volume = 162 cm3 To take this to a slightly higher level, you can give your answer in other units, recalling that 1 mL = 1 cm3, and you get the Volume = 162 mL
If a storm window has an area of 315 square inches which equation can be used to find the dimensions when the window is 6 inches higher than it is wide?
Let the width of the storm window be ( w ) inches. Since the window is 6 inches higher than it is wide, the height can be expressed as ( w + 6 ) inches. The area of the window can be calculated using the equation ( w(w + 6) = 315 ). This equation can be used to find the dimensions of the window.
If a storm window has an area of 448 square inches what are the dimensions if the window is 12 inches higher than it is wide (w x h)?
Let the width of the window be ( w ) inches and the height be ( h = w + 12 ) inches. The area of the window can be expressed as ( w \times h = 448 ) square inches. Substituting ( h ) gives the equation ( w(w + 12) = 448 ). Solving this quadratic equation, we find the dimensions to be ( w = 16 ) inches and ( h = 28 ) inches.
How does potential energy vary height?
Potential energy increases with height. The higher an object is lifted, the more potential energy it has due to its higher position in the gravitational field. The equation for gravitational potential energy is P.E. = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.
If a storm window has an area of 448 square inches what are the dimensions of the window is 12 inches higher than it is wide?
Let the width of the storm window be ( w ) inches. Then the height would be ( w + 12 ) inches. The area of the window can be expressed as ( w(w + 12) = 448 ). Solving the equation ( w^2 + 12w - 448 = 0 ) gives ( w = 16 ) inches (width) and ( h = 28 ) inches (height), so the dimensions of the window are 16 inches wide and 28 inches high.
How many solutions as a linear equation have?
A linear equation can have either one solution, infinitely many solutions, or no solution at all, depending on the relationship between the variables involved. If the equation represents a line in a two-dimensional space, it typically has one solution (where the line intersects a point), infinitely many solutions (if the line overlaps with another), or no solution (if the lines are parallel and never intersect). In higher dimensions, the same principles apply, but the geometric interpretation involves planes or hyperplanes.
How does the solution to an inequality differ from the solution to an equation?
The solution to an inequality generally is a region with one more dimension. If the inequality/equation is of the form x < a or x = a then the solution to the inequality is the 1 dimensional line segment while the solution to the equality is a point which has no dimensions. If the inequality/equation is in 2 dimensions, the solution to the inequality is an area whereas the solution to the equality is a 1-d line or curve. And so on, in higher dimensional spaces.
What is the largest dimension of which you have personal knowledge?
As an AI, I don't have personal experiences or knowledge in the way humans do. However, I can provide information on various dimensions in physics, such as the three spatial dimensions (length, width, height) and the concept of time as the fourth dimension. Additionally, theories in physics suggest the existence of higher dimensions, such as in string theory, which posits up to 11 dimensions.
Do higher dimensions exist in the universe?
The existence of higher dimensions in the universe is a topic of debate among scientists. Some theories, such as string theory, suggest the possibility of extra dimensions beyond the three spatial dimensions we experience. However, these higher dimensions have not been directly observed or proven, so their existence remains speculative.
How many dimensions does a shape has?
A shape can have different dimensions depending on its structure. Typically, a two-dimensional shape has length and width, while a three-dimensional shape includes length, width, and height. Some theoretical concepts, such as in physics or mathematics, can involve higher dimensions, but in everyday terms, we mainly encounter shapes in 2D and 3D.
How many dimensions does a form has?
A form typically has three dimensions: length, width, and height, which together define its volume in space. In certain contexts, particularly in theoretical physics or mathematics, forms can also be described in higher dimensions, such as four-dimensional space-time. However, in everyday terms, we generally refer to three-dimensional forms.
What of kinds of the dimension?
Dimensions can be understood in various contexts, including physical, mathematical, and abstract. In physics, dimensions typically refer to the measurable extents of space and time, such as the three spatial dimensions (length, width, height) and the fourth dimension of time. In mathematics, dimensions can extend into higher realms, such as fractals or multidimensional spaces. Additionally, abstract dimensions can refer to concepts in psychology or philosophy, indicating different aspects of human experience or understanding.
What relationship exists between height and potential energy if mass is held constant?
The relationship between height and potential energy is directly proportional when mass is held constant. As an object is raised to a higher height, its potential energy increases. This relationship is given by the equation: potential energy = mass x gravity x height.
