1. Write the equation that models the height of the roller coaster. Start by writing the equation of the circle. (Recall that the general form of a circle with the
center at the origin is x2 + y2 = r2. (10 points)

y = √(900 - x²)

Step-by-step explanation:

The equation of a circle is given as:

(x - h)² + (y - k)² = r²

Where (h,k) is the coordinate of the circle center, r is the radius of the circle.

Since the circle is at the origin, the equation of the circle is given by:

(x - 0)² + (y - 0)² = r²

x² + y² = r²

the highest point on this leg of the roller coaster is 30 feet above the ground, therefore the radius of the circle is 30 ft.

x² + y² = 30²

x² + y² = 900

we need to make y the subject of formula. First, subtract x² from both sides:

x² + y² - x² = 900 - x²

y² = 900 - x²

taking square root of both sides:

y = √(900 - x²)

The equation that models the height of the roller coaster is given by:

y = √(900 - x²)

answer: 0+0=0

step-by-step explanation:

that is the only answer that can make 0

chemists are often responsible for designing a chemical reaction and analyzing the products obtained from it. one significant part of designing a chemical reaction is determining the amount of each reactant that is needed and the amount of each product that will be produced. in order to do so, chemists use stoichiometry, the quantitative relationships between reactants and products.