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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https://brainly.com/question/6780708
Write an equation of the line that passes through the point A (6,-1) that is perpendicular to the line y = -2x + 8
Answer:
y= 1/2x-2
Step-by-step explanation:
y+1= 1/2(x-6)
y+1= 1/2x -3
y= 1/2x-2
4(9x + 11) + 5(3x + b) = ax + 9
I gotta find a and b in the next 10 minutes lol-
Answer:
a = 51 , b = - 7
Step-by-step explanation:
Expand and simplify left side , then compare like terms on both sides.
4(9x + 11) + 5(3x + b) ← distribute parenthesis
= 36x + 44 + 15x + 5b ← collect like terms
= 51x + 5b + 44
Compare terms with right side ax + 9
Compare x - terms
51x and ax
For these terms to be equal then
a = 51
Compare constant terms
5b + 44 and 9
For these terms to be equal , then
5b + 44 = 9 ( subtract 44 from both sides )
5b = - 35 ( divide both sides by 5 )
b = - 7
each square on a grid represents 1 unit on each side.Calculate the slide of Graph E.What situation could the graph represent
Answer:
p=4x
Step-by-step explanation:
The line is straight
hi guys BIGDIRTY GUY DONT ASNWER UR ANNOYING
GUYS COULD SOMEONE PLEASE HELP ME !!!
NO ONES ANSWERING AND IVE BEEN REPOSTING IT :((((
TYSM TO WHOEVER ANSWERED BTWWW , QUESTIONS HERE:
10. A local dance warehouse needs to purchase new stock in ballet shoes. A Canadian company is offering a price of $5747.50 in Canadian Funds for 250 pairs of shoes. An American company is offering a price of $19.00 in US Funds per pair of shoes. If 1 Canadian Dollar is worth $0.79 in US Dollars, which company is offering the best price? JUSTIFY your answer by calculating the unit rates.
Answer:
werghdfb
Step-by-step explanation:
I dont know the answer sorry
simplify 1 4/7 divide 2/3-9/14 to its lowest term plz i need before tomorrow
Simplify:
1st Method:
1(4/7) ÷ 2/3 - 9/14
⇛(7*4)/7 ÷ 2/3 - 9/14
⇛28/7 ÷ 2/3 - 9/14
Take LCM of 3 and 14 is 42.
⇛28/7 ÷ (28-27)/42
⇛28/7 ÷ 1/42
⇛28/7 × 42/1
⇛(28 × 6)/1
⇛168/1
⇛168 Ans.
2nd Method:
1(4/7) ÷ 2/3 - 9/14
⇛(7*4)/7 ÷ 2/3 - 9/14
⇛28/7 ÷ 2/3 - 9/14
⇛4/1 ÷ 2/3 - 9/14
Take LCM of 3 and 14 is 42.
⇛4/1 ÷ (28-27)/42
⇛4/1 ÷ 1/42
⇛4/1 × 42/1
⇛(4 × 42)/(1×1)
⇛164/1
⇛164 Ans.
Solve the equation-
[tex] \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} [/tex]
Hello studentUnion!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Solve the equation-
[tex] \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} \\ [/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} \\ [/tex]
Let's multiply both the sides of the equation by x (x - 3) & (x + 4) which is the LCM of (x - 3), (x + 4) & x. We can't solve it directly without taking the LCM first as the denominators are not equal to each other. Then do cross multiplication. After all these steps, you'll get an equation as..
[tex]x\left(x+4\right)\times 5-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ [/tex]
Now, use the distributive property & simplify it.
[tex]x\left(x+4\right)\times 5-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ \left(x^{2}+4x\right)\times 5-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-\left(x^{2}-3x\right)\times 4=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-\left(4x^{2}-12x\right)=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-4x^{2}+12x=\left(x-3\right)\left(x+4\right) \\ x^{2}+20x+12x=\left(x-3\right)\left(x+4\right) \\ x^{2}+32x=\left(x-3\right)\left(x+4\right) \\ x^{2}+32x=x^{2}+x-12 \\ x^{2}+32x-x^{2}=x-12 \\ 32x=x-12 \\ 32x-x=-12 \\ 31x=-12 \\ \boxed{ \boxed{ \bf \: x=-\frac{12}{31} }}[/tex]
The value of x is -12/31.__________________
Hope it'll help you!
ℓu¢αzz ッ
Answer:
[tex]\frac{5}{x-3} -\frac{4}{x+4} =\frac{1}{x}[/tex]
[tex]\frac{5(x+4)-4(x-3)}{(x-3)(x+4)} =\frac{1}{x} \\[/tex]
[tex]\frac{5x+20-4x+12}{(x-3)(x+4)} =\frac{1}{x}[/tex]
[tex]\frac{x+32}{(x-3)(x+4)} =\frac{1}{x}[/tex]
Use Cross multiplication
[tex]x(x+32)=(x-3)(x+4)[/tex]
[tex]x^{2} +32x = x^{2} +4x-3x-12[/tex]
[tex]x^{2} +32x=x^{2} +x-12[/tex]
[tex]x^{2} +32x-x^{2} -x=-12[/tex]
[tex]31x = -12[/tex]
[tex]\frac{31x}{31} =\frac{-12}{31} \\x = \frac{-12}{31}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Solve each equation.
1. 8z = 112 ____
2. d/14 = 7 ___
3. f/28 = 24 ___
4. 3a = 57 ____
Answer:
Step-by-step explanation:
1. 8z = 112 _z = (112/8); z=14
2. d/14 = 7 _ d = 7*(14); d = 98
3. f/28 = 24 ___f = 28(24); f= 672
4. 3a = 57 ____ a = 57/3; a = 19
Find the y-intercept of the following equation. (Simplify your answer.)
18x + 5y = 10
Answer: y-int = 2
Step-by-step explanation:
set x=0
so 18(0) + 5y = 10
solve for y by dividing both sides by 5
5y/5 = 10/5
y=2
A tree was 4ft tall when it was planted. It grows 2ft per year. Which equation could be solved to determine how many years the tree will take to grow to a height of 16ft from the time it was planted?
Answer:
the ecuation is 4+2x=16, and x is the number of years the tree needs to grow to a height of 16 ft
help please :)
i’ll mark you brainly + points
Answer:
C 10^-3
Step-by-step explanation:
because the other options are the same as 10^ -3/5
Answer:
It would be 10^-3
Step-by-step explanation:
Give the equation for the line: please someone answer this for me woth 20 points!!!!!
Answer:
y=x/4
Step-by-step explanation:
slope =y2-y1/x2-x1
=1-0/4-0=1/4
Answer: slope intecept form: y = 1/4x
Step-by-step explanation: first we need to find the slope:
Since we have the coordinates (0,0) and (4,1), we can find the slope, which we find 1/4. We can double check this by seeing if the next point is found +4 to the right and up 1.
We have y = 1/4x + b right now, so we need to find the y intercept, in which case is zero because it goes through the origin.
So your final answer is y = 1/4x + 0, or y = 1/4x for short.
Hope this helps!
What are the values of angles 1 and 2?
Answer:
45o
Step-by-step explanation:
Angles 1 and 2 form a linear pair and are supplementary. So to find m∠2, subtract m∠1 from 180o. m∠2 = 180o - 135o = 45o.
Answer: 90
Step-by-step explanation:
You can write "the measure of angle 1" as m ∠1. ∠1 and ∠2 are complementary, and m ∠2 = 32. Find m ∠ 1. m ∠1 + 32 = 90 Substitute 32 for m ∠2.
Kyle has two pieces of rope. The lengths of the ropes are 241.38 centimeters and 264.7 centimeters. What is the difference in length between the two pieces of rope?
Answer:
23.32
Step-by-step explanation:
264.7-241.38=23.32
Answer:
23.32
Step-by-step explanation:
264.7-241.38=23.32
Is Jenny needs 100 pages printed and each page costs .10 cents how much will she spend
Answer:
$10
Step-by-step explanation:
100 x 0.10 = 10
Answer:
10 dollars
Step-by-step explanation:
help please and thank you
Answer:
B
Step-by-step explanation:
Answer:
B) There were N people on the beach at 10:00a.m.
Step-by-step explanation:
As stated, "t" represents the hours past midnight. So the first part states that it is 10 hours after midnight. Since we know its ten hours after midnight, aka 10am, what we don't know is how many people are on the beach. therefore we know the answer is B.
What equation represents a relationship between X and y shown in the graph below
Answer:
f(x)= -3x-1
Step-by-step explanation:
since x= -1 y= -3(-1)-1
=2
Funny has five pages left in her album about how many pictures can she plays on each remaining page
Answer:
equal parts of this story is the order I am the first thing to say about this
someone know answer?
Answer:
whats the question
Step-by-step explanation:
please help me, i'm not smart
Answer:
i think c
Step-by-step explanation:
Answer:C
Step-by-step explanation:
(y^3)^2
=y^3*2
=y^6
So therefore, the one that contained y^6 is the answer which is C.
By the way, you’re really smart
Write the equation of the line in fully simplified slope-intercept form.
Answer:y=2/5x+5
Step-by-step explanation:
Please help! Will give brainliest!!
Always use 2 decimals and only enter the number as your answer. No unit!
It took a person 6 minutes to walk from point A to point B which is 150m apart, then 5.5 minutes from the far end (point B) back to the starting point. Let's assume the direction from A to B is Positive (+).
1. This person's round trip average speed was _____ m/s.
2. This person's average velocity from point A to point B was _____ m/s.
3. This person's average velocity from point B back to point A was ____ m/s.
4. This person's average round trip velocity was ______ m/s.
5. The total "displacement" for the round trip was _____ m.
Answer:
1. .43 m/s or 26.08 meters per min
5. The total displacement is 0
Step-by-step explanation:
Please awnser question from image down below
Answer:
C 10 in
Step-by-step explanation:
side of P is [tex]\sqrt{36}[/tex] = 6
side of Q is [tex]\sqrt{64}[/tex] = 8
for missing side use Pythagorean theorem
[tex]r^{2}[/tex] = [tex]6^{2} + 8^{2}[/tex]
r^{2} = 36 + 64
r^{2} = 100
r = 10 in
1. Vanessa scored one million points
on a video game. Which of the
following is one million written with
an exponent?
Answer:
1.0·E6 or 1.0·10^6
Step-by-step explanation:
1,000,000: one million.
Note that there are 6 zeros here.
1,000,000 written in exponential form would be 1.0·E6 or 1.0·10^6
Answer:
10^6
Step-by-step explanation:
11. Through (5,2) perpendicular to 5x+y=-3
An online shopping club has 4,800 members when it charges $9 per month for membership. For each $1 monthly
increase in membership fee, the club loses approximately 200 of its existing members. Write and simplify a function
R to represent the monthly revenue received by the club when x represents the price increase.
Hint: Monthly revenue = # members. monthly fee.
Answer:
The function to represent the revenue received by the club is
Step-by-step explanation:
Given:
Total members in the Online shopping Club = 13,500
Membership Charge per month = $8
Increase in the Membership charge per month = $1
For each $1 monthly increase in membership fee, the club loses approximately = 500 members
To Find :
The function to represent the revenue received by the club when x is the price increase
Solution:
For Each month $1 increased is every month which leads to decrease in the members by 500
For 1 month , one dollar the decrease is
for 2 month , 2 dollar increase will lead to decrease of = 1000 members
So for x months
The decrease in the members = = 500x
Also the increase in the membership fee will be 8 + x
Now
MARK BRAINLIEST! THANKS HOPE THIS HELPED
Write the equation of the line that passes through (-1,8) and is parallel to the graph of y = 4x - 2
Answer:
When a line is parallel to another line, they have the same slope. So far the equation would be, y=4x+b. To find the value of b, substitute the given point into the equation.
8=4(-1)+b
8=-4+b
b=12
So, the equation of the line is y=4x+12.
:)
y=4x-2
m=4Parallel lines have equal slopePt(-1,8)Equation of line in point slope form
[tex]\ \ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\ \ \sf\longmapsto y-8=4(x+1)[/tex]
[tex]\ \ \sf\longmapsto y-8=4x+4[/tex]
[tex]\ \ \sf\longmapsto 4x-y+12=0[/tex]
If AB is 300% what is the length of a line segment that is 100%
When a figure is rotated it’s angle measures and it’s orientation
Answer:
Than it's a good measure must be a good thing
The population of a town changed by -17.4% over 4 years. What was the average change per year?
Fill in the blank.
please help
Answer:
The population of a town changed by -17.4% over 4 years. What was the average change per year? - 25400422.
Step-by-step explanation:
The printer in the library prints 78 pages in one minute. How longdoes it take to print 1,950 pages
Answer:
25 minutes
Step-by-step explanation:
1950/78=25
Answer:
25 minutes
Step-by-step explanation:
Just divide 1,950 by 78.
