Write an equation that relates the quantities The square of the length of the hypotenuse c of a right triangle varies jointly with the sum of the squares of the lengths of its legs a and b. The constant of proportionality is 1.

Q: The price of cheddar cheese can be represented by the equation p=8.85w where p is the price in…

A: The given equation is: p=8.85w where p is the price in dollars and w is the weight in pounds.

Q: The maximum range of a projectile is directly proportional to the square of its velocity. A baseball…

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Q: The amount Troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. Troy…

A: A quantity is said to be proportional to another quantity if the ratio of the two quantities remains…

Q: Kelly's office recycled a total of 162 kilograms of paper over 9 weeks. After 12 weeks, how many…

A:

Q: The weight M of an object on Mars varies directly as its weight E on Earth. A person who weighs one…

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Q: The volume (V) of wood in a tree varies jointly as the height (h) and the square of the girth (g).…

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Q: Driving on the Autobahn in Germany, you have to brake suddenly. Let’s assume that the stopping…

A: If a is directly proportional to b, then this is denoted by a α b, In order to write this…

Q: Which equation is NOT an example of direct variation?

A: In an indirect variation, the variables are inversely proportional to each other. The equation…

Q: A drink recipe calls for prine juice and carrot juice.This equation represents the proportional…

A: consider the provided question, Number of quarts of prune juice = P Number of quarts of carrot juice…

Q: the weight (in pounds) w=f(d) of an object varies inversely as the square of its distance (in…

A: Hey, since there are multiple subpart posted, we will answer first three subpart. If you want any…

Q: 2 The distance, d metres, that a ball rolls down a slope varies directly with the square of the…

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Q: Which linear equation represents a proportional relationship between the values of x and y?

A: We are asked about the linear equation which represents a proportional relationship between the…

Q: The relationship between the cost, y, in dollars, ar the pounds of steel bought, x, can be modeled…

A: The relation between cost y in dollars and pounds of steel bought=x

Q: two pounds of meat (y) will serve eight people (x). Which equation of direct variation describes…

A: To serve 8 people (X),  2pounds of meat  ( y) s required So (8,2) is the one point on the equation.…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.