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777dan777 [17]
1 year ago
11

Tyrone makes a scale drawing of his backyard. The scale from the backyard to the drawing is 2 ft to 1 in. The width of the patio

on the drawing is 8 in. What is the width of Tyrone's actual patio? Show your work
Mathematics
1 answer:
Sphinxa [80]1 year ago
6 0

Answer:

The width of Tyrone's actual patio is 16 feet

Step-by-step explanation:

\frac{2ft}{1in} =  \frac{x}{8}   If we look at what we know, we see that the scale tells us that 1 inch is proportional to 2 ft.  What do we need to multiple 1 inch by to get 8 inches?  8.  So, we multiply 2 feet by 8 to get the actual size of the patio which is 16 feet.

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Rewrite the function by completing the square. f(x)= x^{2} -9 x +14f(x)=x 2 −9x+14
Bess [88]

Answer:

f(x)=(x-4.5)^{2}-6.25  or f(x)=(1/4)(2x-9)^{2}-6.25

Step-by-step explanation:

we have

f(x)=x^{2}-9x+14

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-14=x^{2}-9x

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)-14+4.5^{2}=x^{2}-9x+4.5^{2}

f(x)+6.25=x^{2}-9x+4.5^{2}

Rewrite as perfect squares

f(x)+6.25=(x-4.5)^{2}

f(x)=(x-4.5)^{2}-6.25

f(x)=(1/4)(2x-9)^{2}-6.25

5 0
3 years ago
the length of a rectangle is 2ft more than twice the width. The area is 180 ft^2. find the length and width of the rectangle
Mariana [72]

Answer:

Area = length * width

 

112 = (2w+2)*w

 

112 = 2w^2 + 2w

 

0 =2w^2 + 2w - 112

 

0 = w^2 + w - 56

 

0 = (  w  +  8  )( w  -    7  )

 

w+8=0  results in negative measures

 

w-7=0 --> w = 7

 

width is 7

length is 16

3 0
3 years ago
Function F(x)=x+1 and g(x)=5x+1 find the f(4)=g(x+1)
Lapatulllka [165]

The function of f(4) = g(x+1) gives the value of x that is -1/5.

<h3>What is the function addition?</h3>

It is the addition of two functions similar to the addition of any two polynomial functions.

Given;

F(x)=x+1

g(x)=5x+1

We need to find f(4)=g(x+1)

First substitute x = 4 in f(x)

F(x)=x+1

F(4) = 4 + 1

F(4) =  5

Now substitute x = x + 1 in g(x)

g(x)=5x+1

g(x + 1) = 5(x + 1) + 1

g(x + 1) = 5(x + 1) + 1

g(x + 1) = 5x + 5 + 1

g(x + 1) = 5x + 6

Then ,

F(4) = g(x + 1)

5 = 5x + 6

5x = 5 - 6

5x = -1

x = -1/5.

The function of f(4) = g(x+1) gives the value of x that is -1/5.

Learn more about function;

brainly.com/question/14438192

#SPJ1

7 0
2 years ago
The density of salt is 80 pounds per cubic foot (lb/ft3). 1 pound (lb) is approximately 0.4536 kilogram (kg). 1 cubic foot (ft3)
Leto [7]

Answer: Density = 1,282.26 kg/m^3

Step-by-step explanation:

Density =  80 lb/ft^3

We know that:

1lb = 0.4536 kg.

1ft^3 = 0.0283 m^3

then we can write:

1 = (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)

we can multiply our equation by this, and it wont be affected, then we have:

Density = 80 lb/ft^3 = 80 lb/ft^3 (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)

Density = 1,282.26 kg/m^3

6 0
3 years ago
5)
natita [175]

Answer:

D

Step-by-step explanation:

This is an eye scanning

5 0
3 years ago
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