Alice walks along a road which can be modeled by the equation y=6x, where (0,0) represents her starting point. When she reaches a certain point A, she turns right, so that she is traveling perpendicular to the original road, until she stops at the point (333,0). What was the point A where Alice turned?
Answers
9514 1404 393
Answer:
(9, 54)
Step-by-step explanation:
The first road has a slope of 6 on its graph. So, the perpendicular road will have a slope of -1/6, the negative reciprocal of the slope of the original road. Translating that from y=-1/6x the the right by 333 units, the equation of the second road is ...
y = -1/6(x -333)
The point where Alice turned is the point of intersection of these two equations:
y = 6xy = -1/6(x -333)Substituting for y, we have ...
6x = -1/6(x -333)
36x = -x +333 . . . . . multiply by 6, eliminate parentheses
37x = 333 . . . . . . . . add x
x = 9 . . . . . . . divide by 37
So, the point where Alice turned is ...
(x, y) = (9, 6·9)
(x, y) = (9, 54)
Related Questions
3x - 6 + 4 = -20
Solve the multi-step equation and place the steps in the correct order.
ITEM BANK: Move to Bottom
3x - 2 = -20
3x - 6 + 4 = -20
3x = -18
x = -6
1
drag and drop answer here
2
drag and drop answer here
3
drag and drop answer here
4
drag and drop answer here
Answers
3x-2= -20
3x=-18
x=-6
Can't figure this out extremely need help). A line goes through the points (8,9) and ( -2,4). A) what is the slope of the line? Show your work. B) Write the equation of the line in point -slope form. Show your work. C) Write the equation of the line in slope-intercept form. Show your work. ( Brainliest Answer and please be honest with your response). Make sure you show all your work please and thank you.
Answers
Step-by-step explanation:
Im sorry but I found it more easy writing it on a paper!
A plane begins its takeoff at 2:00 P.M. on a 1700-mile flight. After 11.5 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 100 miles per hour.
Answers
Answer:
turbulance
Step-by-step explanation:
complete the pattern 444 4440 44,400 444,000 ______ _______ what goes on does 2 spots
Answers
Answer:
4440,000 and 44.400,000
Step-by-step explanation:
All you do is add another zero to the end
an open tank has tge shape of circular cone. the tank is 8feet across the top and 6 feet high. watwr is pumped through the buttom of the tank. how much work is done to fill the tank from a depth of 4 feet to a depth of 6 feet? water weighs 62.4 pounds per cubic foot
Answers
Answer:
[tex]W=22652.98ft-lb[/tex]
Step-by-step explanation:
We are given that
Height of tank=6feet
Diameter of tank=8 feet
Radius of cone,r=d/2=8/2=4 feet
Let a layer of thickness dy at distance yr from the bottom at origin
y=6 feet
Using similar triangle property
[tex]\frac{r}{y}=\frac{4}{6}=\frac{2}{3}[/tex]
[tex]r=\frac{2}{3}y[/tex]
Weight of water=62.4 pounds per cubic foot
Now,
Weight of layer=[tex]62.4\times \pi r^2 h=62.4(\frac{4}{9}\pi y^2 dy[/tex]
Now, work done to fill the tank from a depth of 4 feet to a depth of 6 feet is given by
[tex]W=\int_{a}^{b}62.4\times \frac{4}{9}\pi y^2(y) dy=\int_{4}^{6}62.4\times \frac{4}{9}\pi y^3 dy[/tex]
[tex]W=\frac{62.4\times 4\pi}{9}[\frac{y^4}{4}]^{6}_{4}[/tex]
[tex]W=\frac{249.6\pi}{36}(6^4-4^4)[/tex]
[tex]W=22652.98ft-lb[/tex]
Determine which sides of the given quadrilateral are parallel. Q (0, 4), R (4, 0), S (0, −4), T (−4, 0)
Answers
Answer:
The answer is QR and TS are parallel. QT and RS are parallel
Step-by-step explanation:
You can find the slope of each line using the formula y2-y1/x2-x1 and to help organize your ideas or understand better, you can graph the points in a cardinal plane.
If a=3 what is the value of 2a2
Answers
Answer:
12
Step-by-step explanation:
You can break it down like this, 2 x a x 2 or 2 x 3 x 2
2x3=6 6x2=12
Answer: 12
Step-by-step explanation:
12
Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).
-1
1
-4
4
2 + 5i
2 - 5i
-2 + 10i
-2 - 10i
Answers
Answer:
The answer is 1, -4, 2+5i, 2-5i
Step-by-step explanation:
Answer:
B,C,E,F
Step-by-step explanation:
Edge 2020
who has answer for key stone recovery packet ela 11th grade and geometry.
Answers
Answer:
Me I sent them to you already. emily
English is a West Germanic language first spoken in early medieval England which eventually became the leading language of international discourse in today's world.
A single reese cup cost $.25 each, you bought 5 and the sales tax is 5%. How much did you spend?
Answers
Aquarium I contains 4.6 gallons of water. Louise will begin filling Aquarium I at a rate of
1.2 gallons per minute,
Aquarium II contains 54.6 gallons of water. Isaac will begin draining Aquarium II at a rate of
0.8 gallon per minute.
After how many minutes will both aquariums contain the same amount of water?
Answers
Answer:
The Answer is B
Step-by-step explanation:
37% of $150 Single can u ols helo me ita gor a test
Answers
Please help me i dont understand
Answers
the triangle is 4
the circle is 6
Answer:
5
4
6
.........................
Which equation represents the relation that is shown in the graph?
Cost of Buying Comic Books
On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).
y = x + 2/7
y = x + 7/2
y = 2/7 x
y = 7/2x
Answers
Answer:
It is D
Step-by-step explanation:
Im like 95 percent sure
Answer:
D
Step-by-step explanation:
Took the test
What’s 55000 x 62188??
Answers
Answer:
3,420,340,000
Step-by-step explanation:
Answer:
3420340000
Step-by-step explanation:
Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10.
Rectangle C has length 30 and width 15.
1. Is Rectangle A a scaled copy of Rectangle B? If so, what is the scale factor?
2. Is Rectangle B a scaled copy of Rectangle A? If so, what is the scale factor?
3. Explain how you know that Rectangle C is not a scaled copy of Rectangle B.
4. Is Rectangle A a scaled copy of Rectangle C? If so, what is the scale factor?
Answers
1. no
2. no
3. there's no rational factor
4. no
I'm probably wrong...
The two equations are equivalent. What was don to the first equation to get the second equation? 7x - 42 = 63 and x - 6 = 9
Answers
Answer:
x=15
Step-by-step explanation:
7x-42=63 add 42 to both sides
7x=105 divide by 7 on both sides
x=15
pull in 15 for x
Or you could of added 6 and 9 to find x
Write an expression for the perimeter of the rectangle. Make sure you expression is as simple as possible. 5x+9 , 3x+12
Answers
Answer:
6x+42
Step-by-step explanation:
So by, "5x+9 , 3x+12" I'm assuming you mean the length and the width.
The perimeter of a rectangle is 2(l+w), so if you put the values in, you get...
2(5x+9+3x+12)
2(8x+21)
6x+42, which is your answer.
SOMEONE PLEASE HELP ILL GIVE BRAINLIEST
Answers
Answer: Its E,F, and H
Step-by-step explanation: There no way its not E,F, and H . C is a right angle so I believe the questions asking what other ones are right angles and that answer would be E,F and H.
i need this ASAP The line y = -1/5x + 24 and y = 5x +9 are what to each other?
Answers
Answer:
These lines are perpendicular to each other
Step-by-step explanation:
SInce ne slope is the opposite of the reciprocal of the other
-1/5 opposite of reciprocal of 5
These are perpendicular lines
Richard is W years old express algebraically is age 10 years ago
Answers
Answer:
W-10
Step-by-step explanation:
if Richard is W years old then subtract 10 from W
Answer:
W-10
Step-by-step explanation:
Subtract his 10 from his current age
Help pls
According to a food label on a box of cookies, each box has 16 servings and each serving contains 4 cookies. The weight of the box of cookies is 1/2 kilograms. What is the weight of each cookie?
Answers
Answer:
7.8125 grams
Step-by-step explanation:
As per the food label on the box of cookies, there are 16 servings in each box and each serving contains 4 cookies.
Therefore, each box of cookies contains (16 × 4) = 64 cookies.
If a box of cookies weighs kg i.e. 500 gram, then the weight of each cookies will be grams. (Answer)
Vijay is celebrating his birthday at Pizza Ranch. The all-you-can-eat meal costs $12 per adult
and $5 per child. He wants to stay under a budget of $180 for the party.
Select the inequality in standard form that describes this situation. Use the given numbers and the
following variables
• X = the number of adults attending
· y = the number of children attending
12x + 5y < 180
B
12x + 5y < 180
52 + 12y < 180
5x + 12y < 180
Answers
Answer:
12x+5y < 180
Step-by-step explanation:
12 (adults) + 5 (kids) < needs to be less than 180 dollars
Can some one send me the Answers to this book plzz
Answers
Answer:
all of the answers should be in the back
Step-by-step explanation:
Simplify 5a-(-9)-7a-12
Answers
Answer:
-2a = 0 + 3
Step-by-step explanation:
hope this helps.
answers please.......
Answers
Answer:
$69.375
Step-by-step explanation:
To find the total cost: you will add the actual cost of the rug, $64 and the additional shipping and handling cost, $5.375.
[tex]64 + 5.375 = 69.375[/tex]
The total cost of the rug, including shipping and handling is $69.375
Answer:
$69.38
Step-by-step explanation:
64 plus 5 is 69. Add 375 for 69.375. Round the decimal up to get $69.38
Students surveyed boys and girls separately
Answers
wait...what?
im lost. lol
Answer:
Step-by-step explanation:
Can someone answer these questions please
Answers
B. Is y=1/2x
It has been observed that a large percentage of professional hockey players have birthdays in the first part of the year. It has been suggested that this is due to the cut-off dates for participation in the youth leagues - those born in the earlier months are older than their peers and this advantage is amplified over the years via more opportunities to train and be coached. Of the 511 professional hockey players in a season, 159 of them were born in January, February, or March.
Requried:
a. Assume that 25% of birthdays from the general population occur in January, February, or March (these actually contain 24.7% of the days of the year). In random samples of 508 people, what is the mean number of those with a birthday in January, February, or March?
b. What is the standard deviation?
c. Now, 158 of the 508 professional hockey players were born in the first three months of the year. With respect to the mean and standard deviation found in parts (a) and (b) what is the z-score for 158?
d. If the men in the professional hockey league were randomly selected from the general population, would 158players out of 508 be an unusual number of men born in the first 3 months of the year?
e. Which of the following is an acceptable sentence to explain this situation?
1. If the men in the professional hockey league were selected randomly from the general population, this would be an unusual collection of birth dates.
2. There is good reason to believe that a significantly larger than expected proportion of professional hockey league players are born in the first three months of the year.
3.This could be a result of the random variation of birth dates within a sample. However, it would be pretty unlikely to happen by chance.
4. All of these are valid statements.
Answers
Answer:
a
[tex]\mu = 127[/tex]
b
[tex]\sigma = 9.76[/tex]
c
[tex]z-score = 3.18 [/tex]
d
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
e
The correct option is option 3
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.25
The sample size is n = 508
Generally the mean is mathematically represented as
[tex]\mu = np[/tex]
=> [tex]\mu = 508 * 0.25[/tex]
=> [tex]\mu = 127[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{ np (1-p)}[/tex]
=> [tex]\sigma = \sqrt{ 508 * 0.25 (1-0.25)}[/tex]
=> [tex]\sigma = 9.76[/tex]
Generally the z-score of 158 is mathematically represented as
[tex]z-score = \frac{158 - 127}{9.76}[/tex]
=> [tex]z-score = \frac{158 - 127}{9.76}[/tex]
=> [tex]z-score = 3.18 [/tex]
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
What this means is that the almost the whole professional hockey league player are born in the first month which is unusual
Angles of triangles I need help with homework
Answers
Answer:
150 degrees
Step-by-step explanation:
A triangle adds to 180 degrees.
48 + 102= 150
180-150 = 30
Then the angle x in total adds to 180
180-30= 150 degrees