In Freeport, Illinois, Empire Street runs east to west and route 26 runs north to south.
Zippy’s Pizza parlor is located on route 26, 3 miles south of Empire street.
Zippy’s advertises that it delivers within a 4 mile radius.


Write an equation that represents the radius of delivery for Zippy’s Pizza. Assume that Zippy’s is located at the origin.



- How far east and west from route 26 can you live on Empire street and still receive Zippy’s Pizza delivery?

- Little Cubs Field is located 2 miles west and 4 miles north of Zippy’s. How far is Little Cubs Field from Zippy’s?

- How far is Little Cubs Field from the radius of delivery?

Answers

Answer 1

The area to which Zippy's Pizza makes delivery is 16·π square miles

The responses are;

First Part: x² + y² = 4²Second Part: √5 miles east and √5 miles west from route 26Third Part: 2·√5 milesFourth Part: 2·(√5 - 2) miles

Reasons:

The radius of the area that Zippy delivers pizza = 4 miles

Direction in which Empire Street runs = East to west

Direction of the route 26 route = North to south

Location of Zippy's Pizza parlor = 3 miles south of Empire street

-First Part:

The equation that represents the radius of delivery for Zippy's Pizza is given by the equation of a circle as follows;

(x - h)²+ (y - k) = r²

Where:

(h, k) = The center of the circle which is the location of Zippy's Pizza

r = The radius of the circle

Zippy's Pizza is at the center of the circular area with coordinates (h, k) = (0, 0)

r = 4 miles

-Which gives;

(x - 0)² + (y - 0)² = 4²

The equation that represent the radius is; x² + y² = 4²

-Second part:

The locations of addresses on Empire street, relative to Zippy's Pizza are given by the equation;

y = 3

Therefore, we have;

The furthest distances east and west on Empire street that can receive Zippy's Pizza delivery are given by the equation;

x² + 3² = 4²

x = √(4² - 3²) = ±√5

The furthest distances that can receive Zippy's Pizza delivery are ±√5 miles (east and west) from route 26

-Third Part:

Location of Little Cubs = 2 miles west and 4 miles north of Zippy's

The distance from Little Cubs Field to Zippy's = √((2² + 4²) = 2·√5

The distance from Little Cubs Field to Zippy's = 2·√5 miles

-Fourth Part:

The distance between Little Cubs Field from Zippy's radius of delivery, d, is found as follows;

d = 2·√5 - 4 = 2·(√5 - 2)

Therefore, d = 2·(√5 - 2) miles

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Answer

80000

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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                  3x  +   5y   -2   = 0

Rearrange:  3x + 5y = 2

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Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Slope (m) = ΔY/ΔX= 3/2=1.5

θ = arctan(ΔY/Δx)= 56.30993247402°

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Answer:

m = 1.5

Step-by-step explanation:

Use the coordinates of two points on the graph:

(1, -3), (3, 0)

Find the slope using slope formula:

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HELP ASAP You are preparing to move into a new house. The walls of your room will measure 10 feet by 12 feet.
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Answers

The Scale used on blueprint is 1 inches represents 4/3 feet

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Since on the blueprint, the walls measure 10 feet by 12 feet but on the blue print it measures 7.5 inches by 9 inches. Hence:

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1 inches = 4/3 feet

The Scale used on blueprint is 1 inches represents 4/3 feet

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Answers

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Work Shown:

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Answers

Answer:

Above is the step-by-step solution

[tex]\\ \sf\longmapsto p\propto q [/tex]

[tex]\\ \sf\longmapsto p=kq[/tex]

Divide both sides by q

[tex]\\ \sf\longmapsto \dfrac{p}{q}=k[/tex]

[tex]\\ \sf\longmapsto q=\dfrac{p}{k}[/tex]

Now

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[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^2}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{k}{t^2}[/tex]

Substitute√q

[tex]\\ \sf\longmapsto \sqrt{q}=\dfrac{k}{t^2}[/tex]

[tex]\\ \sf\longmapsto q=\dfrac{k^2}{t^4}[/tex]

Substitute q=p/k

[tex]\\ \sf\longmapsto \dfrac{p}{k}=\dfrac{k^2}{t^4}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{k}{t^4}[/tex]

[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^4}[/tex]

Done

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Answers

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Answer:

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Answers

Answer:

Step-by-step explanation:

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Answer:

b = -5/16

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Answers

Answer:

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Answer:

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Step-by-step explanation:

On a coordinate plane, 4 points are plotted. The points are (1, 4), (2, 6), (3, 9), (4, 13.5).
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Answers

Answer: See below.

Step-by-step explanation:

The domain is the set of natural numbers.   Yes

The range is the set of natural numbers.      Yes

The recursive formula representing the sequence is f(x + 1) = Three-halves(f(x )) when f(1) = 4.  Yes   See attachment

An explicit formula representing the sequence is

f(x) = 4(three-halves) Superscript x     No  See attachment

The sequence shows exponential growth.   Yes

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1,3,5 are correct. please ignore the other person.

Step-by-step explanation:

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Answers

Answer:

5*9= 45

Step-by-step explanation

Well using your hands you can put down your fifth finger and that will give you four fingers on the left and five on the right that then equals 45

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Answers

Answer:

Step-by-step explanation:

The smallest angle in the quadrilateral with a ratio of 7:4:5:2 is 40 degrees.

To find the smallest angle in the quadrilateral, we need to determine the ratio of the angles and find the corresponding value for the smallest angle.

Given the ratio of the angles as 7:4:5:2, we can assume that the smallest angle corresponds to the ratio of 2.

To calculate the smallest angle, we can consider the sum of the ratio values as a whole, which is 7 + 4 + 5 + 2 = 18.

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Therefore, the smallest angle in the quadrilateral is 40 degrees.

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#SPJ2

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here is your perfect answer

gamsahamnida

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This the answer hope this help

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