Point P is reflected across two lines. Point A is its reflection image. Which two lines is point P reflected across?
x = 3 and y = 2
x = -2 and y = 2
x = 3 and y = -3
x = -2 and y = -3
Answers
Answer: The two lines are x = -2 and y = 2.
Step-by-step explanation: Given that the point P on the co-ordinate plane is reflected across two lines and A is its image after the reflection.
We are to find the two lines across which the point P is reflected.
The co-ordinates of point P are (0, 0) and the co-ordinates of its image A after reflection from two lines are (-4, 4).
From the given figure, we can note that
the first line of reflection is y = 2. Point C(0, 4) is the image after reflection from first line.
The second line of reflection is x = -2. Point A(-4,4) is the final image after second reflection.
Thus, the two lines are x = -2 and y = 2.
Related Questions
23,769 rounded to the nearest thousand
Answers
Mrs.Cranston bought five bottles of water for $0.90 each and 8 pounds of meat. She paid a total of $26.90 for these items, not including tax. What was the price per pound of the meat?
Answers
meat = 8 pounds * x amount.
Total = water + meat prices = $26.90
26.90 = $4.50 + 8x
22.40 = 8x
2.8 = x
The price per pound of meat is $2.80.
Find the volume of this cuboid? 1.7m 2.3m and 0.8m
Answers
The farmer market sells apples by the bushel ,each bushel of apples weights 42 pounds.a bushel of large apples contains 84 apples. If a bushel of sa all apples contains twice as many apples as a bushel of large apples, how many small apples are in 1pound of apple
Answers
Answer:
2 apples
Step-by-step explanation:
84/42 = 2
each pound has 2 apples
Jodie uses her college printer to print pages at the rate of $0.06 per page. She decides to rent a printer for $80 a year. The cost of printing using the rented printer is $0.02 per page.
Part A: Write an inequality that can be used to calculate the number of pages that Jodie should print in a year so that the amount she pays for the rented printer is less than the college printer. Define the variable used. (5 points)
Part B: How many pages should Jodie print in a year to justify renting the printer? Show your work.
Answers
Jodie uses her college printer to print pages at the rate of $0.06 per page.
=> cost of college printer = 0.06x
She decides to rent a printer for $80 a year. The cost of printing using the rented printer is $0.02 per page.
cost of rented printer = 80 + 0.02x
Part A: Write an inequality that can be used to calculate the number of pages that Jodie should print in a year so that the amount she pays for the rented printer is less than the college printer.
cost of rented printer < cost of college printer
=> 80 + 0.02x < 0.06x <-------- inequality
Part B: How many pages should Jodie print in a year to justify renting the printer? Show your work.
=> 80 < 0.06x - 0.02x
=> 80 < 0.04x
=> 0.04 x > 80
=> x > 80 / 0.04
=> x > 2000
Answer: Jody should print at least 2000 pages to justify the rent of the printer.
Inez has 2 1/4 pounds of potatoes for the picnic, she needs 8 1/2 pounds of potatoe. How many more pounds of potatoes does Inez need to buy?
Answers
subtract 2 1/4 from 8 1/2
make fractions have same denominator
8 1/2 = 8 2/4
8 2/4 - 2 1/4 = 6 1/4 more pounds
A geologist have two rocks on a scale that weighs 2 1/2 lbs together rock a was 1/7 of a the total weight how much did rock a weight
Answers
By using the given fraction of rock 'a' against the total weight of two rocks, we can find that rock 'a' weighs approximately 0.357 lbs.
Explanation:The student's question involves calculating the weight of a rock, given as a fraction of a total weight. In this case, they are talking about a scenario where a geologist uses a scale to weigh two rocks together, with a total weight of 2 1/2 lbs, and rock 'a' is specified to be 1/7 of this total weight. To determine the weight of rock 'a', we simply divide the total weight by 7.
So, 2 1/2 lbs is equivalent to 2.5 lbs (since 1/2 is the same as 0.5). To find the weight of rock 'a', we take this total weight and perform the operation: 2.5 ÷ 7 = 0.357 lbs.
Therefore, rock 'a' weighs approximately 0.357 lbs. Remember, this is an estimation because the weight of the rock is being given as a fraction of the total weight, and actual weights can vary based on factors such as density and volume.
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I really need help on this question
Answers
The following two points are on this line: (0,-4) and (3,1).
Let m = slope
m = (1 -(-4))/(3-0)
m = (1 + 4)/3
m = 5/3
The slope is 5/3.
8 = 4x + 12 what does x equal
Answers
-4 = 4x
-1 = x
1) subtract 12 from both sides.
-4 = 4x
2) divide each side by 4
-1 = x
Nicholas volunteers at a local soup kitchen and he notices how quickly the kitchen is going through its stock of canned goods. Below is the graph representing the data Nicholas found. Find the slope and y-intercept of the line.
Answers
Answer:
m=-63 b=825
Step-by-step explanation:
The slope of the line would be - [m] = - 63 and the [y] intercept is - [c] = 835.
What is the general equation of straight line? What is a mathematical function, equation and expression?straight line : The general equation of a straight line is -[y] = mx + c
function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Nicholas volunteers at a local soup kitchen and he notices how quickly the kitchen is going through its stock of canned goods.
It is given that a graph has number of days on the x - axis and number of canned goods on the y-axis. The line goes through points (2, 699) and (8, 321). The slope of the line can be written as -
[m] = (321 - 699)/(8 - 2)
[m] = -378/6
[m] = - 63
For the point (2, 699), we can write -
y = - 63x + c
699 = - 63 x 2 + c
699 = -126 + c
c = 699 + 126
c = 835
Therefore, the slope of the line would be - [m] = - 63 and the [y] intercept is - [c] = 835.
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{Complete question -
A graph has number of days on the x-axis and number of canned goods on the y-axis. A line goes through points (2, 699) and (8, 321).
Nicholas volunteers at a local soup kitchen and he notices how quickly the kitchen is going through its stock of canned goods. Below is the graph representing the data Nicholas found.
Find the slope and y-intercept of the line.}
An object's position is given by x(t) = 5 + 10 t 2. what is its acceleration after 5 s
Answers
The acceleration after 5 seconds is 20 m/s^2.
Explanation:To find the acceleration, we need to take the second derivative of the position function.
x(t) = 5 + 10t^2
Taking the derivative with respect to time, we get:
v(t) = 20t
Taking the derivative again, we get the acceleration:
a(t) = 20
Therefore, the acceleration after 5 seconds is 20 m/s^2.
What is the solution to the following system of equations? 3x-2y=12 and 6x-4y=24
Answers
Answer:
A. It has infinitely many solutions
Step-by-step explanation:
I took the Solving Linear Systems By Substitution Quiz on Edge
The given system of equations 3x-2y=12 and 6x-4y=24 has no solution.
As per the question, we have to determine the solution to the following system of equations, 3x-2y=12 and 6x-4y=24
What is the equation?The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.
Here,
Given a system of the equation,
3x-2y = 12
x = 12 + 2y / 3 - - - - -(1)
6x - 4y =24 - - - - -(2)
Put the value of equation 1 in the equation
6 (12 + 2y / 3) - 4y = 24
2 (12 + 2y) - 4y = 24
24 +4y - 4y = 24
24 = 24
Thus, the given system of equations 3x-2y=12 and 6x-4y=24 has no solution.
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The formula for the volume of a sphere is Upper V equals four thirds pi r cubedV=
4/3πr3, where r is the radius of the sphere. The steel ball to the right is in the shape of a sphere and has a diameter of 3030 millimeters.
a. Find the exact volume of the sphere.
b. Find a 2-decimal-place approximation for the volume.
Answers
now, that rounded to 2 decimals is just 523.60
After calculating, the volume of the sphere obtained will be equal to V = 1.45 × 10¹⁰ mm³.
What is Volume?Every three-dimensional item takes up space in some way. The volume of this area is what is used to describe it. The area covered within an entity's three-dimensional bounds is referred to as its volume. The object's size is another name for it.
As per the given data in the question,
The formula for the volume of the sphere is given as,
V = 4/3 π r³
Diameter = 3030 mm
r = D/2
r = 3030/2
r = 1515 mm
So, the volume will be,
V = 4/3 π (1515³)
V = 1.45 × 10¹⁰ mm³
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What is the common difference for the arithmetic sequence?
4.7, 6, 7.3, 8.6, 9.9,...
Answers
The cost of 5 cds and a $ 12 DVD
Answers
The cost of 5 CDs and a $12 DVD is $62.
Explanation:The subject of this question is Mathematics. The question asks for the cost of 5 CDs and a $12 DVD. To find the total cost, we need to know the price of each CD and the price of the DVD.
Let's say the price of each CD is $10. The total cost of 5 CDs would be 5 multiplied by $10, which is $50.Adding the cost of the DVD, which is $12, to the cost of the CDs, we get a total cost of $50 + $12 = $62.Therefore, the cost of 5 CDs and a $12 DVD is $62.
the circle with center (3,5) and radius 2 has a equation?
Answers
Nick is driving to a town 30 miles away. He is averaging about 45 miles per hour. If he makes no stops, how long will the trip take (in minutes)?
Answers
45 miles per hour
= 45 miles per 60 minutes
= 3/4 mile per minute
Now, use a ratio to solve.
30 miles : x minutes = 3/4 mile : 1 minute
30=3/4x
x=40
Nick will take 40 minutes to get to the town.
Hope this helps!
Ryan uses 3 bars of clay for a sculpture. The first bar is 1.15 centimeters long. The second bar is 3.92 centimeters long. What is the total length of 2 bars?
Enter your answer in the box.
Answers
Plz help 35 points!!! The floor of a rectangular banquet has an area of 1,600 m2.The length is 80 m.What is the width?
Answers
your problem looks like:
80x=1600 and then just solve so x =20
A red candle is 8 inches tall and burns at a rate of 7/10 inch per hour. A blue candle is 6 inches tall and burns at a rate of 1/5 inch per hour. After how many hours will both candles be the same height?
Answers
Answer:
4 hours
Step-by-step explanation:
The height of the red candle in inches can be modeled by ...
h = 8 - (7/10)t
where t is the number of hours it burns.
Likewise, the height of the blue candle can be modeled by ...
h = 6 - (1/5)t
The heights of the two candles will be the same when one expression for height is equal to the other.
8 - (7/10)t = 6 - (1/5)t
2 = t(7/10 - 1/5) . . . . . . . . . add (7/10)t -6
2/(5/10) = t = 4 . . . . . . . . . divide by the coefficient of t
what is r^m divided by r^m equal to.
Answers
Which three statements would produce the truth value F when p is true and q is false?
A. p -> q
B. ~p/\~q
C. p->~q
D. q\/~p
C. p/\~q
please help
Answers
Answer with Step-by-step explanation:
p is true then ~p is false.
q is false then ~q is true.
A. p -> q
if p is true and q is false then this gives false truth value.
Hence, here truth value is F
B. ~p/\~q
if any one of them is false then it gives false truth value.
Hence, here truth value is F(since,~p is false)
C. p->~q
true statement implies a true statement hence, truth value will be true
Hence, here truth value is T(p true implies ~q true)
D. q\/~p
if any one of them is true then compound statement is true.
Hence, here truth value is F(since, ~p and q both are false)
E. p/\~q
if both true then compound statement is also true.
Hence, here truth value is T(since p and ~q both are true)
In a number of identical boxes of chocolates there are 90 dark ginger, 198 white and 126 hazelnut. What is the largest possible number of boxes of chocolates?
Answers
The problem involves finding the Greatest Common Divisor (GCD) of the three numbers. The GCD of 90, 198, and 126 is 18. Hence, the largest possible number of identical boxes of chocolates is 18.
Explanation:The problem involves finding the Greatest Common Divisor (GCD) of the three quantities to find the largest possible number of identical boxes of chocolates. The GCD is the largest number that divides all three quantities evenly. So, let's first calculate the GCD of the given quantities: 90 dark ginger, 198 white, and 126 hazelnut chocolates.
We use the Euclidean Algorithm to find the GCD. Start with the two largest numbers, 198 and 126. The remainder of 198 divided by 126 is 72. Then, divide the initial divisor 126 by this remainder 72 to get another remainder 54. Continue this process with 72 and 54 to get a remainder 18. Now, the number 18 divides 54 exactly with 0 remainder, so 18 is the GCD of 198 and 126. When we test 18 with the third number, 90, it also divides evenly, hence the GCD of all three numbers is 18.
This means that the largest possible number of identical boxes of chocolates is 18.
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Maria wants to find the product of 5 3/20 multiplied by 3 4/25 using decimals instead of fractions how can she rewrite the problem using decimals
Answers
The decimal for 3 4/25 is 3.16
5.15 times 3.16
Answer:
[tex] 5.15\times 3.16=16.2740[/tex]
Step-by-step explanation:
Maria wants to find the product of [tex]5\frac{3}{20}[/tex] multiplied by[tex]3\frac{4}{25}[/tex]
First we change mixed fraction to fraction and then change into decimal.
#First fraction:
Change mixed to fraction[tex]5\frac{3}{20}\Rightarrow \dfrac{103}{20}[/tex]
Change fraction to decimal[tex]\dfrac{103}{20}\Rightarrow \dfrac{103\times 5}{20\times 5}=5.15[/tex]
#Secondfraction:
Change mixed to fraction[tex]3\frac{4}{25}\Rightarrow \dfrac{79}{25}[/tex]
Change fraction to decimal[tex]\dfrac{79}{25}\Rightarrow \dfrac{79\times 4}{25\times 4}=3.16[/tex]
Now we find the product of both decimal
[tex]\Rightarrow 5.15\times 3.16[/tex]
Using calculator product of 515 and 316 = 162740
Both number has decimal digits two
So, total number of decimal digits is 4
In multiply result write decimal before 4 digits from right.
Therefore,
[tex] 5.15\times 3.16=16.2740[/tex]
Planes flies 2951 miles in 6.5 hours what is the speed of the airplane miles per hour
Answers
This graph shows the costs of purchasing two types of flowers. Which statement is true?
Flower A is less expensive than Flower B.
Flower B is less expensive than Flower A.
Flower A and Flower B cost about the same.
Answers
Hope this Helps (:
The graph shows the costs of purchasing two types of flowers.
Select some value [tex]x_0[/tex] for x and draw vertical line
[tex]x=x_0.[/tex]
This line intersects the graphs of Flower A and the graph of Flower B in points A and B, respectively. The point A lies on this vertical line higher than the point B. This means that y-coordinate of point A is greater than y-coordinate of point B.
If y-coordinate of point A is greater than y-coordinate of point B, then Flower A is more expensive than Flower B (or Flower B is less expensive than Flower A).
Answer: correct choice is B
there are 1,525 pages in a book. Julia and Kim round the number of pages to the nearest hundred
Answers
In the case of rounding up, the number beside the must be above 5
But, in the case of rounding down, the number beside must be below 5.
The hundred place is the number 5.
The number before the 5 is the number 2
Since 2 is lower than 5, we round it down..
Thus the answer is 1,500
Hope this helps :))
Julia and Kim round the number of pages to the nearest hundred as 1500.
Given that, there are 1,525 pages in a book.
What is the rounding off numbers?Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
In the given number, digit in the tens place is 2, so the number rounded to nearest hundred as 1500.
Therefore, Julia and Kim round the number of pages to the nearest hundred as 1500.
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The ph of water samples from a specific lake is a random variable y with probability density function given by f (y) = $ (3/8)(7 − y) 2 , 5 ≤ y ≤ 7, 0, elsewhere. a find e(y ) and v(y ). b find an interval shorter than (5, 7) in which at least three-fourths of the ph measurements must lie. c would you expect to see a ph measurement below 5.5 very often? why?
Answers
[tex]f(y)= \left \{ {{ \frac{3}{8}(7-y)^2 \ \ \ 5\leq y\leq7 } \atop {0 \ \ \ \ \ \ \ elsewhere}} \right. [/tex]
Part A:
[tex]E(y)= \int\limits^\infty_{-\infty} {yf(y)} \, dy \\ \\ = \int\limits^7_5 {y \left(\frac{3}{8}\right)(7-y)^2} \, dy\\ \\ = \frac{3}{8}\int\limits^7_5 (49y-14y^2+y^3)dy \\ \\ = \frac{3}{8} \left[ \frac{49}{2} y^2- \frac{14}{3} y^3+ \frac{1}{4} y^4\right]^7_5 \\ \\ = \frac{3}{8} [(1,200.5-1,600.67+600.25)-(612.5-583.33+156.25)] \\ \\ = \frac{3}{8} (200.08-185.42)= \frac{3}{8} (14.66)=5.5[/tex]
Part B:
[tex]E(y^2)= \int\limits^\infty_{-\infty} {y^2f(y)} \, dy \\ \\ = \int\limits^7_5 {y^2 \left(\frac{3}{8}\right)(7-y)^2} \, dy\\ \\ = \frac{3}{8}\int\limits^7_5 (49y^2-14y^3+y^4)dy \\ \\ = \frac{3}{8} \left[ \frac{49}{3} y^3- \frac{14}{4} y^4+ \frac{1}{5} y^5\right]^7_5 \\ \\ = \frac{3}{8} [(5,602.33-8,403.5+3,361.4)-(2,041.67-2,187.5+625)] \\ \\ = \frac{3}{8} (560.23-479.17)= \frac{3}{8} (81.06)=30.4[/tex]
[tex]V(y)=E(y^2)-[E(y)]^2=30.4-(5.5)^2=30.4-30.25=0.15[/tex]
Part C:
Let the required interval be (5, b), then
[tex]P(5\leq y\leq b)= \frac{3}{4} \\ \\ \Rightarrow \int\limits^b_5 {\left(\frac{3}{8}\right)(7-y)^2} \, dy = \frac{3}{4} \\ \\ \Rightarrow\int\limits^b_5 {(49-14y+y^2)} \, dy=2 \\ \\ \Rightarrow \left[49y-7y^2+ \frac{1}{3}y^3\right]^b_5=2 \\ \\ \Rightarrow (49b-7b^2+\frac{1}{3} b^3)-(245-175+41.67)=2 \\ \\ \Rightarrow \frac{1}{3} b^3-7b^2+49b-113.67=0 \\ \\ \Rightarrow b=5.74 [/tex]
Therefore, an interval shorter than (5, 7) in which at least three-fourths of the ph measurements must lie is (5, 5.74).
Part D:
[tex]P(5\ \textless \ Y\ \textless \ 5.5)=\int\limits^{5.5}_5 {\left(\frac{3}{8}\right)(7-y)^2} \, dy \\ \\ = \frac{3}{8}\int\limits^{5.5}_5 {(49-14y+y^2)} \, dy=\frac{3}{8}\left[49y-7y^2+ \frac{1}{3}y^3\right]^{5.5}_5\\ \\ \frac{3}{8}[(269.5-211.75+55.46)-(245-175+41.67)]=\frac{3}{8}[113.21-111.67] \\ \\ \frac{3}{8}(1.54)=0.5775[/tex]
Since, the probability that a ph measurement is below 5.5 significant (i.e. 57.75%), we would expect to see a ph measurement below 5.5 very often.
Mr. and Mrs. Zeller close on a 20 year home loan for $150,000. The monthly payment with no points is $1,160, but if they buy a point it is $1,150. What might you infer if Mr.and Mrs. Zeller choose not to buy a point? a. They plan to sell the house at the end of 5 years. b. They plan to sell the house at the end of 15 years. c. They plan to sell the house at the end of 20 years. d. They plan to sell the house at the end of 25 years.
Answers
Answer:
the answer is A they plan to sell it in 5 years
Step-by-step explanation:
Write an expression from the description. Then evaluate the expression. 8 less than the product of 5 and -4.
Answers
Evaluate:
-20 - 8
-28 is your answer
Answer:
5(-4) - 8 is the expression.
Evaluate: -20 - 8 -28 is your answer