A fish has a triangular tooth with a height that is 6 centimeters longer than the base. If the area of the tooth is 36 square centimeters, find its base and height

The base and height of the triangular tooth of the fish are 6 centimetres and 12 centimetres respectively

Step-by-step explanation:

Given:

The height of the  fish tooth =  6 centimetres longer than the base

Area of the tooth  = 36 square centimetres

To Find:

The base and height of the fish tooth = ?

Solution:

The area of the triangular tooth  = area of the triangle

Then

The area of the triangular tooth =

Let the base be x centimetres, then is height is (x+6) centimetres

On substituting the given values,

Solving using the quadratic formula we get

x = 6                                    x = - 12

Neglecting the negative value, we have

base is 6 centimetres

Then height will be   (x+6) = (6+6) = 12 centimetres

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

they can both be solutions depends on the equation

step-by-step explanation:

what is the equation? ?