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andreyandreev [35.5K]
4 years ago
14

The ferris wheel has a radius of 72 feet, with a clearance between the wheel and the ground of 12 feet. The rectangular coordina

te system shows The origin directly below the center of The wheel. Write the equation for the circular wheel. What is the maximum height of the ferris wheel?
Mathematics
1 answer:
Ne4ueva [31]4 years ago
4 0
<span>The radius is 72, so the center is at y=72+12=84 x^2 + (y-84)^2 = 72^2</span>
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x+2y+2z=3. 2x-2y-z=3. x-2z=-5​
d1i1m1o1n [39]

Answer:

x = 1, y = -2, z = 3.

Step-by-step explanation:

x + 2y + 2z = 3      A

2x -2y - z = 3         B

x - 2z = -5              C

If we add equations A and B we eliminate y:

3x + z = 6       E

Multiply E by 2 :

6x + 2z = 12    F

Adding C and F we get:

7x = 7

x = 1.

Plug this into equaton C:

1 - 2z = -5

-2z =  -5 - 1 = -6

z = 3.

Now plugging x = 1 and z = 3 in equation A:

1 + 2y + 2(3) = 3

2y = 3 - 1 - 6 = -4

y = -2.

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3 years ago
What are a domain and range?
Nikolay [14]

Answer:

The domain and range of function is the set of all possible inputs and outputs of a function respectively.

The domain and range of a function y = f (x) is given as domain= {x ,x∈R }, range= {f (x), x∈Domain}.

The domain and range of any function can be found algebraically or graphically.

5 0
2 years ago
HELP ASAP PLS I NEED HELP
Alexus [3.1K]

Answer:

B

Step-by-step explanation:

r^2 is 0.9997, and after 10 years it'll be 95660

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3 years ago
A grocery store has 14 cartons of yogurt for sale, of which 6 are blackberry.
Juli2301 [7.4K]

Answer:

3 out of 7

Step-by-step explanation:

you just simplify the expression divide it by 2 on both side and it ends up to 3 out of 7

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For the following exercises, find (f ∘ g)(x) and (g ∘ f)(x) for each pair of functions.
Rufina [12.5K]

Answer:

The value of $(f \circ g)(x)$ is 17-18x and $(g \circ f)(x)$ is -7-18x.

Step-by-step explanation:

It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.

It is required to find $(f \circ g)(x)$ and $(g \circ f)(x)$.

To find $(f \circ g)(x)$, substitute g(x) for x in f(x) and simplify the expression.

To find $(g \circ f)(x)$, substitute f(x) for x in g(x) and simplify the expression.

Step 1 of 2

Substitute g(x) for x in f(x) and simplify the expression.

$$\begin{aligned}&(f \circ g)(x)=f(5-6 x) \\&(f \circ g)(x)=3(5-6 x)+2 \\&(f \circ g)(x)=15-18 x+2 \\&(f \circ g)(x)=17-18 x\end{aligned}$$

Step 2 of 2

Substitute f(x) for x in g(x) and simplify the expression.

$$\begin{aligned}&(g \circ f)(x)=g(3 x+2) \\&(g \circ f)(x)=5-6(3 x+2) \\&(g \circ f)(x)=5-18 x-12 \\&(g \circ f)(x)=-7-18 x\end{aligned}$$

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2 years ago
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