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vekshin1
3 years ago
11

The archway to the entrance of an art gallery can be model by y= -1/3(x-5)(x+5) where x and y are measured in feet. The x-axis r

epresents the floor. Find the width of the arch at floor level.
Mathematics
1 answer:
NikAS [45]3 years ago
3 0

Answer:

x=5 feet

Step-by-step explanation:

At floor level y=0

If the expression is:

0=1/3(x-5)(x+5)\\0=1/3(x^2-25)\\0=1/3x^2-25/3\\25/3=1/3x^2\\25=x^2\\x=5

But, with the negative sign, the answer is x= 5i (where i is imaginary)

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Fernando bought a jacket for $185 and sold it for 1 1/2 times what he paid. Marisol spent 1/5 as much as Fernando on the same ja
Anna007 [38]

We have been given that Fernando bought a jacket for $185 and sold it for 1 1/2 times what he paid.

Let us find selling price of jacket as:

\text{Selling price of Fernando's jacket}=\$185\times 1\frac{1}{2}

\text{Selling price of Fernando's jacket}=\$185\times \frac{3}{2}

\text{Selling price of Fernando's jacket}=\$277.5

We have been given that Marisol spent 1/5 as much as Fernando on the same jacket.

\text{Cost of Marisol's jacket}=\$185\times \frac{1}{5}

\text{Cost of Marisol's jacket}=\$37

We are also told that Marisol sold the jacket for 1/2 as much as Fernando did.

\text{Selling price of Marisol's jacket}=\frac{\$277.5}{2}

\text{Selling price of Marisol's jacket}=\$138.75

The amount of money earned by Marisol would be selling price of jacket minus cost.

\text{Amount of money earned by Marisol}=\$138.75-\$37

\text{Amount of money earned by Marisol}=\$101.75

Therefore, Marisol made $101.75.

4 0
3 years ago
Solve equation check solution 3(-2k-2)=-2(4K-11)
emmasim [6.3K]
-6k-6 = -8k+22
-6k+8k = 22+6
2k = 28
K= 28/2
K= 14
6 0
3 years ago
Harry is building a model car. The actual car has a length of 15 feet and tires with a radius of 24 inches. His model car has a
katovenus [111]
  The answer would be 2 inches.
 The ratio of the model to the real figure is 1 feet to 12 feet, since 15 divided by 1.25 is 12. And since 24 inches = 2 feet, 2 divided by 12 would equal 1/6 feet, which would equals 2 inches.
5 0
3 years ago
An arc subtends a central angle measuring
barxatty [35]

Answer:

The arc is one-third of the circumference.

Step-by-step explanation:

The area of a circumference = 2πr

C = 2πr ... (1)

If an arc subtends a central angle measuring 2π/3 rad,

The length of the arc = rθ

Given θ = 2π/3

Length of the arc L = r(2π)/3

L = 2πr/3... (2)

L = 1/3(2πr)

Since C = 2πr

L = 1/3C

This shows that the arc is one-third of the circumference.

6 0
3 years ago
Let f(x) = 4x – 5 and g(x) = 3x + 7. find f(x) + g(x) and state its domain.
Tema [17]

We are given the functions:

f(x) = 4 x – 5                       ---> 1

g(x) = 3 x + 7                       ---> 2

 

To find for the value of f(x) + g(x), all we have to do is to add equations 1 and 2:

f(x) + g(x) = 4 x – 5 + 3 x + 7

f(x) + g(x) = 7 x + 2 = y

 

In this case, for any real number value assign to x, we get a real number value of y. This is because the function is linear.

Therefore the domain of the function is all real numbers.

5 0
3 years ago
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