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Archy [21]
4 years ago
13

1. Write the equation that models the height of the roller coaster.

Mathematics
1 answer:
rusak2 [61]4 years ago
4 0

Answer:

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)

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Find f(2), f(1), f(0), and f(-1) for f(x) = 3x + 8.
cupoosta [38]

Answer:

Step-by-step explanation:

Solution

When, x=2

f(2)=3×2+8

=14

Again,

When, x=1

f(1)=3×1+8

=11

When, x=0

f(0)=3×0+8

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When, x=-1

f(-1)= 3×(-1)+8

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6 0
3 years ago
A type of number that includes rational and irrational numbers is ____
DIA [1.3K]

Answer:

Real number

Step-by-step explanation:

Those are the Real numbers.

Real numbers (R) are the conjoint of Rational Numbers (Q) - those than can be written as a fraction, e.g., 4/3, 80/456, etc. - and Irrational Numbers (I) - those that CAN'T be represented by a fraction, e.g., pi number.

So R = Q ∪ I

5 0
3 years ago
Please help me on 5 I don’t get it LOL 11 point pleaseeee
kramer

Answer:

Hello there! the answer would be H, 1/36

Step-by-step explanation:

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8 0
3 years ago
Two angles are complementary. If one of the angles has a measure of 26 degrees , what is the measure of the other angle?
iren2701 [21]

Answer:

plzz mark me brainliest

Step-by-step explanation:

x + x + 26 = 90

2x = 64

x = 32 degrees, this is one angle.

32 + 26 = 58 degrees. This is our second angle.

32 + 58 = 90 degrees.

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4 years ago
Which of the following statements must be true
Mumz [18]

Answer:

only 3) is true. EC is equidistant (the same distance) to BD

Step-by-step explanation:

since we have no coordinates or other specific distance information for the various points and lines, we can only confirm statements that must be true for any placement of the lines inside a circle with the described attributes.

the distance EC could be the same as CB, but if we move ED further up or down in the circle (still parallel to CB), we can easily see, that this is not a general case.

the same for CB and BD.

since CB and BD are airways parallel to each other, the symmetry principle of a circle requires that the distance of EC is airways equal to the distance of BD for all such possible pairs of parallel lines inside the circle.

the graph itself gives an example that the distance CB and the distance ED do not have to be the same. they can be for certain pairs of parallel lines in the circle, but not for all of them.

3 0
3 years ago
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