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?
The area of delivery of Zippy's Pizza given by a radius of delivery is a
circular area.
First Question: x² + y² = 4²Second Question: √5 miles to the west and √5 to the east from route 26Third Question; The distance between Little Cub's Field and Zippy is 2·√5 milesFourth Question: The distance between Little Cubs Field and the radius of delivery is 2·(2 - √5) miles.Reasons:
Direction of Empire Street = East to west
Direction of route 26 = North to south
Location of Zippy's Pizza parlor on route 26 = 3 miles south of Empire street
The radius of the area Zippy makes delivery = 4 miles
Question One:
Required: Equation for the radius of delivery
Solution:
The equation of a circle is (x - h)² + (y - k)² = r²
Where;
(h, k) = The coordinates of the center of the circle
r = The radius of the circle
Where the center of the circle is at the origin, we have;
(h, k) = (0, 0)
Therefore, the equation that represents the radius of delivery for Zippy's Pizza is is; (x - 0)² + (y - 0)² = r²
x² + y² = r²
The radius r = 4, the equation is therefore;
x² + y² = 4²Second Question;
The equation that represents Empire street with Zippy's Pizza at the origin is y = 3
Therefore at the maximum distance east and west, along Empire street, we have;
x² + 3² = 4²
x² = 4² - 3² = 5
x = ±√5
The distance east and west along Empire street where one can still receive pizza are; √5 miles west and √5 east from Route 26
The maximum distances from route 26 a person can live on Empire street and receive pizza are;
√5 miles to the west and √5 to the east from route 26Question Three;
The location of Little Cubs Field = 2 miles west and 4 miles north from Zippy's
The coordinates of Little Cubs Field relative to Zippy at the origin is therefore;
Little Cubs Field coordinates = (-2, 4)
The distance between Little Cub's Field and Zippy, d = √((-2)² + 4²) = 2·√5 miles
Question Four;
The distance between Little Cubs Field and the radius of delivery is given as follows;
D = d - r = 4 - 2·√5
The distance between Little Cubs Field and the radius of delivery is D = 2·(2 - √5) miles.
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Losing 50 dollars may affect one’s level of happiness more than winning 50 dollars. This illustrates the concept of __________ aversion. A. Loss B. Preference C. Risk D. Decision Please select the best answer from the choices provided A B C D.
Answer:
loss
it affects you more to lose something than to gain
Answer:
Loss
Step-by-step explanation:
If
f
(
x
)
is a linear function,
f
(
−
2
)
=
2
, and
f
(
2
)
=
0
, find an equation for
f
(
x
)
Answer:
f(x) = -1/2x + 1
Step-by-step explanation:
Remember that f(x) = y
f(-2) = 2 tells you that when x = -2, y = 2 ; So you have point (-2, 2)
f(2) = 0 tells you that when x = 2, y = 0 ; So you have point (2, 0)
Now use the two points to find the slope: Slope = (change in y)/(change in x)
So slope = (0-2)/(2-(-2) = -2/4 = -1/2
Next find "b" using the slope and one point and solve for "b"
y = mx + b slope = -1/2 point (-2, 2)
2 = -1/2(-2) + b
2 = 1 + b
1 = b
Last thing to do: write the equation using slope = -1/2 and b = 1 into y = mx + b
y = -1/2x + 1
Determine the measure of the indicated interior angle.
in slope-intercept form, that is perpendicular to the equation =32+6 y = 3 2 x + 6 passing through (-12,15)?
Answer:
Step-by-step explanation:
Is "32+6 y = 3 2 x + 6" written correctly? I'll assume y=32x+6 is the corerect equation. If 32+6 y = 3 2 x + 6 is correct, reduce it to:
6y = 32x-26
y = (16/3)x - 4.5 and follow the same steps
=====
An equation perpendicular to y=32x+6 will have a slope that is the negative inverse to the reference line slope, in this case 32. The negative inverse of 32 is -(1/32).
The perpendicular line will be y = -(1/32)x+b.
To find a value for b, use the given point (-12, 15) and solve for b:
y = -(1/32)x+b
15 = -(1/32)*(-12)+b
b = 15- (12/32)
b = 14.625
y=-(1/32)x+14.625
A student walked 1/4 mile from her home to her store on her way to her friends house If the store is 1⁄3 of the way to her friend's house how far is the friend house from her home
Answer: −1/12 miles
Step-by-step explanation: 1/4-1/3 1/4+−1/3 3/12+−4/12 −1/12
Answer:
³/₄ mi
Step-by-step explanation:
Distance from home to store = ¹/₄ mi
Distance to the friends house is 3 times the distance to the store so it is simply 3 x ¹/₄
help anyone im stuck?
Answer: 222.58 should be the correct answer.
The function with the domain {2,3,4} is
Answer:
Option A and D are correct.
f(x) = 3x+2
range = {8,11, 14}
Step-by-step explanation:
Domain states that all the possible values of x where function is defined
Range defined as the complete set of all values of f(x).
As per the statement:
A function with the domain (2, 3, 4) has a specific range.
To determine the function and its range.
Let function f(x) = 3x+2, then
x f(x) = 3x+2
2 8
3 11
4 14
and
Let f(x) = x+1
x f(x) = x+1
2 3
3 4
4 5
Therefore, the function with the domain {2, 3, 4} is 3x+2 and its range is {8,11, 14}
Question nine is this answer blue instead of green?
Answer:
The answer is the blue line
Answer:
The answer is the blue line :)
which fraction can be used to represent this division problem 5.34 divided by 2.5
Answer:
2.5 = 2 5/10 = 25/10 = 5/2
Step-by-step explanation:
5.34 = 5 34/100 = 5 17/50 = 267/50
2.5 = 2 5/10 = 25/10 = 5/2
Solving: 267/50 ÷ 5/2
= 267/50 × 2/5
= 534/250
= 267/125
The fraction which can be used to represent this division problem 5.34 divided by 2.5 is [tex]\frac{53.4}{25}[/tex]
To represent the division problem 5.34 divided by 2.5 as a fraction, you can write it as:
[tex]\frac{534}{2.5}[/tex]
To simplify this fraction, you can multiply both the numerator and the denominator by 10 to eliminate the decimal places:
[tex]\frac{5.34\times10}{2.5\times10}[/tex]
[tex]\frac{53.4}{25}[/tex]
Hence, [tex]\frac{53.4}{25}[/tex] fraction can be used to represent this division problem 5.34 divided by 2.5.
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What percent is 12 m of 20 m?
HELP PLSS
Answer:
60%
Step-by-step explanation:
To change a fraction to a percentage multiply by 100%
[tex]\frac{12}{20}[/tex] × 100%
= 0.6 × 100%
= 60%
Find the value of x shown below
Angles opposite to the equal sides of an isosceles triangle are equal, so the third angle in this triangle is also 61. Now, you know all the angles in the triangle, you can use the Triangle Sum Theorem, which says that all the angles in a triangle add up to 180.
x + 61 + 61 = 180
x + 122 = 180
x = 58
Hope this helped!
I'm in desperate need of help. SC = 15, find CX
Answer:
5
Step-by-step explanation:
2x + x = 15
3x = 15
x = 15/3
x = 5
SC = x = 5
HELP ME PLEEEAAASSSEEEEE
J. (6, 5)
Hope that helped:)
What is the equation for a line that has a slope of -5/2 and passes through
the point (2, -10)?
Answer:
5x+2y+2=0
Step-by-step explanation:
got it correct
BRAINLIEST BRAINLIST HELP HELP HELP MEEEE ling made roasted potatoes and onions for dinner last night. she cut up 4 times as many potatoes as onions to make the dish. If ling cut up 15 vegetables in all, how many potatoes did she cut?
Answer:
She cut 12 potatoes in total
Step-by-step explanation:
Lol sorry for not explain but i do hope this was helpful!
God loves u also God Bless !
Answer:
12
Step-by-step explanation:
good luck and btw it is right
HELP. I DONT WANNA FAIL
Answer:
A. Proportional
B. Non-Proportional
C. Non-Proportional
D. Proportional
Step-by-step explanation:
1. For each graph divide the first cost by the number of apples
- 2.25 divided by 5 is .45 (price for one apple)
- 1.85 divided by 5 is .37 (price for one apple)
- 2.60 divided by 5 is .52 (price for one apple)
- 2.10 divided by 5 is .42 (price for one apple)
2. If you can multiply the price for one apple by the total # of apples and it matches the total cost throughout the entire graph then it's proportional.
Plzzz every1 this is due today what does a equal2
Answer:
q=15
Step-by-step explanation:
4q/5+5(-5)/5=7
4q+5(-5)/5=7
5x5=-25
4q-25/5=7
q=15
Answer:
q = 15
Step-by-step explanation:
We need to use inverse operations.
5 + 7 = 12
now the equation is 4q/5 = 12
what we do is 4 = 5 ⋅ 12
5 x 12 = 60
60 divided by 4 = 15
q = 15
check:
60/5 - 5 = 7
A power line crosses over a river. Viewed from above, it intersects the banks of the river to create the angles shown.
If the two river banks are parallel, what is the value of x ?
Answer:
Step-by-step explanation:
The ratio of red markers to green markers is 5:4 if the are 12 green markers how many red markers are there?
15 green markers
because 4 x 3 = 12
5 x 3 = 15
Rectangle PQRS with vertices P(- 6, 9) , Q(3, 6); R(0, - 9) and S(- 9, - 6)
a) dilated by a scale factor of 1/3 with the origin as the center of dilation
b) reflection in the line y = - x
Answer:
multiply the original coordinate by 3 so its c
Step-by-step explanation:
multiply the original coordinate by 3
The image with the dilation of scale factor of 1/3 is P'Q'R'S' are (-2. 3),(1, 2),(0, -3) and (-3, -2)respectively.
How dilation of a rectangle works?Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation. Also If the Dilation is from the center of the rectangle, then the distance of all the points of the rectangle from its center will get scaled by that one dilation factor.
The dilation with scale factor of 1/3 with the origin as the center of dilation,
Let the coordinates are (x, y) -- (kx, ky); where k is the scale factor i.e, 1/3.
This can be written as; (1/3x, 1/3y).
For the point P(- 6, 9)
The image of P' = (-2. 3)
For the point Q(3, 6)
The image of Q' (1, 2)
For the point R(0, - 9)
The image of R' (0, -3)
For the point S(- 9, - 6)
Image = (-3, -2)
Therefore, the image with the dilation of scale factor of 1/3 is P'Q'R'S' are (-2. 3),(1, 2),(0, -3) and (-3, -2)respectively.
Part a) the reflection in the line y = -x then image triangle P'Q'R'S';
P' = (-2, 2)
Q' = (1, -1)
R' = (0,3)
S' = (-3,3)
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32.00 for 8 pounds of meat what is the unit rate and the rate
Answer:
7 and 3
Step-by-step explanation:
PLEASE PLEASE PLEASE HEEELP D,:
Answer: -14+8q
Step-by-step explanation:
Multiply the two against everything inside the parentheses
PLZ HELP 1000 POINTS AND BRAINLIEST
Not letting me add the answer pls refer to the attachment
Answer:
lol
Step-by-step explanation:
Find the values of both missing angles, X and Y.
Answer:
the answer for both angles is 45
Step-by-step explanation:
bc the one it isn't asking for is a 90 degree angle and the angles must add up to 180 degrees and the 2 angles are the same and 45+45=90 and 90+90=180
Answer:
x = 35.69°y = 54.31°Step-by-step explanation:
Use trigonometry to find one of missing angles:
sine = opposite / hypotenusesin x = 7/12x = arcsin (7/12)x = 35.69°Find the other missing angle:
y = 90° - xy = 90° - 35.69°y = 54.31°what is (4/9)^2 as fraction
Answer:
22/9
Step-by-step explanation:
100 points & brainliest!
Answer:
=D2/E2
Step-by-step explanation:
If you were developing an Excel spreadsheet that finds the unit price of any object, where:
Cell E2 contains the number of units
Cell D2 contains the price of the object
Cell C2 contains the unit price
Then, you will have to create the following formula on cell C2 to find the unit price of the object:
=D2/E2You will have to enter this formula in Cell C2 (exactly as is) to get the proper calculations for the unit price. Attached is a screenshot of how it will appear on an Excel spreadsheet once you enter the given formula in Cell C2.
Answer:
D2/E2
Step-by-step explanation:
I had this exact question when i was at school…i know it says high school still i don’t know how to change that lol but i wonder i wonder if we went to the same school
Provider A changes $55 for installation and charges $35.50 per month for the basic package. Provider B offers free installation and charges $35.50 per month for the basic package. Your neighbor subscribes to Provider A the same month you subscribe to Provider B. After how many months is your neighbor's total cost the same as your total cost for satellite TV? Explain.
Let n = number of months both have their services
Provider A:
C = 35.50n + 55
Provider B:
B = 35.50n
Provider A will always cost more than
provider B because of the $55 installation fee
A piece of wood that is 33 1/4 inches long is cut into 4 equal pieces.
Answer: Each piece has a length of 8.3125.
Step-by-step explanation:
To find this answer, simply divide 33 1/4 by 4, to get 8 5/16, or 8.3125.
Hope it helps, and let me know if you want me to elaborate.
Answer:
The answer is 8 5/16.
Step-by-step explanation:
33 1/4 ÷ 4 is 8 5/16
Hope this helps!
Please help me I’m dying
Answer:
a° = 58°
b° = 48°
c = 74°
d° = 122°
Step-by-step explanation:
Angles on a straight line add up to 180°
58° + d° = 180°
d° = 180° - 58° = 122°
Alternate angles are equal.
a° = 58°
Angles in a triangle add up to 180°.
48° + 58° + c° = 180°
106° + c° = 180°
c° = 180° - 106° = 74°
Angles on a straight line add up to 180°
74° + 58° + b° = 180°
132° + b° = 180°
b° = 180° - 132° = 48°
