Answer:
a.)x² + y² = 900
b.)y = √900 - x²
Step-by-step explanation:
P.S - The exact equation is as follows :
As given,
The shape of the roller coaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of the roller coaster is 30 feet above the ground.
a.)
Equation of circle be x² + y² = r²
As given , leg of the roller coaster is 30 feet above the ground.
⇒ r = 30
⇒x² + y² = 30²
⇒x² + y² = 900
∴ we get
Equation of height of Roller coaster - x² + y² = 900
b.)
As we have, x² + y² = 900
⇒y² = 900 - x²
⇒y = √900 - x²
Answer:
Draw a right triangle such that the distance between the two points is the hypotenuse. Hence, When you use the distance formula, you are calculating the length of the Hypotenuse of a right triangle.
Try this inequality with 0 as the right side.
-x > 0
According to John, we multiply both sides by -1, and the inequality sign does not change direction, so we get this
x > 0
Let's use a number for x that makes the original inequality true.
Let x = -2.
-x > 0
-(-2) > 0
2 > 0
As you can see, -2 does work on the original equation.
Now let's try -2 in John's solution.
x > 0
-2 > 0 which is a false statement.
Now let's solve it again, but we will reverse the inequality symbol when we multiply both sides by -1.
-x > 0
x < 0
Try x = -2.
-2 < 0 which is true
Now it works.
John is incorrect.
If you multiply or divide an equation by a negative number, even if one of its sides is 0, you still must change the direction of the inequality symbol.
That would be 9,000,000,000 times 8, which equals 72,000,000,000. Since 9*8 is 72 accepts there's a 9 million.