Answers
Answer: A'=(1, 3); B'=(-3, 4);C'=(3, 0); D'=(-2, 5)
You can check the PNG attached as well.
Step-by-step explanation:
You need to represent the symmetry of every given points respet to the line
[tex]y = 2[/tex]
In that case, the line beeing paralell to the x- axis, x- value of the symmetry is the same of the given point and y = 2 is the middle between both points.
Point A(1, 1)
[tex]x_{A} = 1\\ x_{A'} = 1 \\\\\frac{y_{A} +y_{A'} }{2} =2\\y_{A'} = 4 - y_{A} = 4 - 1 = 3[/tex]
Point B(-3, 0)
[tex]x_{B} = 1\\ x_{B'} = 1 \\\\\frac{y_{B} +y_{B'} }{2} =2\\y_{B'} = 4 - y_{B} = 4 - 0 = 4[/tex]
Point C(3, 4)
[tex]x_{C} = 1\\ x_{C'} = 1 \\\\\frac{y_{C} +y_{C'} }{2} =2\\y_{C'} = 4 - y_{C} = 4 - 4 = 0[/tex]
Point D(-2, -1)
[tex]x_{D} = 1\\ x_{D'} = 1 \\\\\frac{y_{D} +y_{D'} }{2} =2\\y_{D'} = 4 - y_{D} = 4 - (-1) = 4 + 1 = 5[/tex]
Related Questions
HELP PLEASE
The ceiling of Katie’s living room is a square that is 12 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 10 ft of crepe paper. What is the minimum number of rolls she should buy? Show work.
Answers
Answer:
The minimum number of rolls to buy is 9
Step-by-step explanation:
step 1
Find the perimeter of the ceiling of Katie’s living room
The perimeter of a square is equal to
[tex]P=4b[/tex]
where
b is the length side of the square
we have
[tex]b=12\ ft[/tex]
so
[tex]P=4(12)=48\ ft[/tex]
step 2
Find the length side of the diagonals of the ceiling
Applying Pythagoras theorem
[tex]d=\sqrt{12^{2} +12^{2}}\\ \\d=\sqrt{288}=16.97\ ft[/tex]
step 3
Find the total crepe paper needed
Sum the perimeter plus two times the length side of the diagonal
[tex]48\ ft+2*(16.97\ ft)=81.94\ ft[/tex]
step 4
Find the number of rolls needed
we know that
Each roll contain 10 ft of crepe paper
so
[tex]81.94/10=8.19\ rolls[/tex]
Round up
[tex]8.19=9\ rolls[/tex]
The minimum number of rolls to buy is 9
Final answer:
Katie needs to purchase 9 rolls of crepe paper to decorate her living room ceiling. The calculation includes both the perimeter and the diagonals of her square ceiling.
Explanation:
The ceiling of Katie’s living room is a square that is 12 ft long on each side. To calculate the amount of crepe paper she needs for the perimeter, we multiply the length of one side by 4, since a square has four equal sides: 12 ft × 4 = 48 ft. To calculate the length needed to hang crepe paper from corner to corner, we use the Pythagorean theorem for a square, which says the diagonal is equal to the side length multiplied by the square root of 2: 12 ft × √2 ≈ 12 ft × 1.414 ≈ 16.97 ft. Since there are two diagonals, we need twice this amount: 16.97 ft × 2 ≈ 33.94 ft. Adding the perimeter and diagonals, we get a total of 48 ft + 33.94 ft = 81.94 ft.
Each roll of crepe paper contains 10 ft. To find out the number of rolls needed, we divide the total footage by 10 ft per roll: 81.94 ft ÷ 10 ft/roll ≈ 8.194 rolls. Since Katie can't buy a fraction of a roll, she will need to purchase 9 rolls to have enough crepe paper to decorate her living room ceiling.
Find the hypotenuse of each isosceles right triangle when the legs are of the given measure.
Given = [tex]3\sqrt{2}[/tex]
________ inches.
Answers
[tex]\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{3\sqrt{2}}\\ b=\stackrel{opposite}{3\sqrt{2}}\\ \end{cases} \\\\\\ c=\sqrt{(3\sqrt{2})^2+(3\sqrt{2})^2}\implies c=\sqrt{3^2\sqrt{2^2}+3^2\sqrt{2^2}}\implies c=\sqrt{18+18} \\\\\\ c=\sqrt{36}\implies c=6[/tex]
Please help me out :)
Answers
Answer:
Valid
Step-by-step explanation:
If you draw a square with a side length of 3, that means all the other sides are also 3. So, we can conclude that the area is 9, and that is valid.
Hope... yeah you know the drill.
I'm STILL gonna copyright it.
Copyright Potato 2019.
Please help me out please
Answers
1) x^2 = y^2 + 16^2
2) z^2 = y^2 + 4^2
3) (16 + 4)^2 = z^2 + x^2
Simplifying the above we get:
1) x^2 = y^2 + 256
2) z^2 = y^2 + 16
3) 400 = z^2 + x^2
We want to solve for z. There are several ways but an easy one is with substitution. Start by rearranging 2) and 3) like this:
2’) y^2 = z^2 - 16
3’) x^2 = 400 - z^2
Now we have expressed x and y in terms of z. Plug these values into the unused equation, 1), to solve for z:
1’) 400 - z^2 = z^2 - 16 + 256
2z^2 = 160
z^2 = 80
z = √80
z = √(16)(5)
z = 4√5
Determine which postulate or theorem can be used to prove that ΔABC ≅ ΔDCB. tyvm!
Answers
Answer:
D. ASA
Step-by-step explanation:
We are given the measure of angle C, the side BC, and the measure of angle B
So we are given an angle, a side, then an angle
Answer:
The correct answer is option C. AAS
Step-by-step explanation:
From the figure we can see that, two triangles,
ΔABC and ΔBCD
To find the correct option
From figure we can see that,
From ΔABC and ΔBCD we get,
<A = <D
<C = <B and side BC is common for both the triangles ΔABC and ΔBCD
The order of congruence is
angle, angle and side AAS
The correct answer is option C. AAS
5. Which stem-and-leaf plot represents the data set below?(1 point) 64,67,81,89,108,114,74,52,93,76,87
Answers
Even though I'm late it's
5 | 2
6 | 4 7
7 | 4 6
8 | 1 7 9
9 | 3
10 | 8
11 | 4
Well that's what it was for mine, yours seems to be the same one as mine
The stem-and-leaf plot that represents the given data set is shown in the image attached below:
How to Draw a Stem-and-Leaf?If 74, 75, 76 are data points in a given data set, 7 will be stem, while 4, 5, 6 will be the leaf on the stem-and-leaf plot.
Given the data set, 64,67,81,89,108,114,74,52,93,76,87, the stem-and-leaf plot of the data would be drawn as shown in the image attached below.
Learn more about stem-and-leaf plot on:
https://brainly.com/question/8649311
#SPJ2
Use the Table below to find the Average Rate of Change from x = -2 to x = 1. Show your work for full credit.
x f(x)
-3 0
-2 3
-1 4
0 3
1 0
Answers
The difference between the x's -2 and 1 = 3
The difference between the corresponding f(x) values is 3 -0 = 3
The average rate of change is f(x) / x = 3/3 = 1
Find the measure of arc BC. PLEASE HELP!!
Answers
Check the picture below.
The measure of arc BC in a circle where the two chords, chord AD and chord AC are equal in measure, is 146°. Option C is correct.
What is the measure of arc made by parallel chord?The measure of arc made by parallel chord in a circle are equal in measure.
The arc made by chord BC is,
arc BC=8x-46° .....1
The arc made by chord AD is,
arc AD=5x+26° .......2
The chord AD and BC are equal. Thus, the arc made by them should be equal. Thus,
arc BC=arc AD
8x-46°=5x+26°
Simplify it further,
8x-46°=5x+26°
8x-5x=26+46
3x=72
x=(72/3)
x=24°
Put the value of x in equation 1,
arc BC=8x-46°
arc BC=8(24°)-46°
arc BC=192°-46°
arc BC=146°
Thus, the measure of arc BC in a circle where the two chords, chord AD and chord AC are equal in measure, is 146°. Option C is correct.
Learn more about the arc made by parallel chord here;
https://brainly.com/question/12397427
#SPJ2
PLEASE HELP ME WITH THIS MATH QUESTION ASAP!!
Answers
Answer:
f(x) = 2x+3
g(x) = 1/x^2
Step-by-step explanation:
There are many ways you can write the given expression as a function of a function. In general, you want to think about the operations that are performed on the variable, then consider which operations might be performed first, and what operations might be performed on the results of the first ones.
When the given expression is evaluated, you ...
• square the variable
• divide 2 by the result
• add 3 to that result
It is reasonable to divide this list into two parts, then make one function do one part of the list and the other function do the other part.
In our selection of f() and g() above, we have chosen to make g(x) be ...
• square the variable
• find the reciprocal of that result
and we have defined f(x) to be
• multiply that result by 2
• add 3.
__
You will note that multiplying the reciprocal by 2 is the same as dividing 2 by the result.
_____
Our f(x) and g(x) are ...
g(x) = 1/x^2
f(x) = 2x +3
If the company has set a goal of producing 20 radios for a cost of 2,500, which statement is true?
(1.Plant A is producing at a cost that is farthest from the goal
(2. Plant C is producing at a cost greater than the goal.
(3. Plant B is at the goal
Answers
Answer: 2) Plant C is producing at a cost greater than the goal.
Explains which plant is achieving the goal set by the company regarding radio production costs.
Correct Statement: Plant B is at the goal of producing 20 radios for a cost of $2,500.
Explanation:
Plant A being farthest from the goal is inaccurate since the question mentions Plant B is producing at the goal cost.
Plant C producing at a cost greater than the goal is incorrect as Plant B is already reaching the goal cost.
Plant B is indeed at the goal, as stated in the question, producing 20 radios for a cost of $2,500.
The initial population of a town is 2808 grows with a doubling time of 10 years what will the population be in eight years
Answers
if the amount doubles, that means the rate of change is 100%, whatever the current amount + 100% of that amount, so it doubles, rate of increase is 100%.
[tex]\bf \textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &2808\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1.0\\ t=\textit{elapsed time}\dotfill &8\\ c=period\to &10 \end{cases} \\\\\\ A=2808(1 + 1)^{\frac{8}{10}}\implies A=2808(2)^{\frac{4}{5}}\\\\\\ A\approx 2808(1.74)\implies A\approx 4889[/tex]
99 POINTS PLZ HELP Which explanation best describes the answer to this problem? At the honey farm there were 35 bees in a hive. There were 26 hives. How many bees were there?
Answers
Answer:
910 bees
Step-by-step explanation:
There are 35 bees in a hive and we have 26 hives.
Take the number of hives and multiply by the number of bees per hive
26*35 =910
There are 910 bees total
If there are 26 hives and there are 35 bees in each hive we can do the simple math of 26x35=910
Chico is financing a car for $9,550 and an APR 8.9 percent for 3 years. What is his monthly payment if the monthly payment per $100 is $3.18?
Answers
Answer:
the monthly payment is $303.69
Step-by-step explanation:
this is how i got it:
9,550 divided by 100= 95.5
95.5 x 3.18= 303.69
so the monthly payment it $303.69
Final answer:
To find Chico's monthly car payment, divide the total loan amount by $100 to determine the number of units and multiply by the monthly payment per unit, resulting in a monthly payment of $303.69.
Explanation:
The student's question relates to calculating the monthly payment of a car financing plan. To determine Chico's monthly payment for his car loan, we can use the provided information that each $100 of the loan requires a $3.18 monthly payment at an APR of 8.9%. Since Chico is financing $9,550, we first divide this amount by $100 to find the number of 'units' of $100 in the total loan amount. We then multiply that number by the monthly payment per $100 to find the total monthly payment.
Calculate the number of $100 units in the total loan amount: $9,550 / $100 = 95.5 units.
Multiply the number of units by the monthly payment per unit: 95.5 units * $3.18/unit = $303.69.
Therefore, Chico's monthly payment for the car would be $303.69.
PLEASE HELP QUICK AND EXPLAIN. I'M OFFERING 25PTS (It's only worth 10pts) AND BRAINLIEST ANSWER. I'VE POSTED LIKE 5 TIMES PLEASE HELP ME
Answers
so what is the question that u are asking. I'll help you out
Answer:
sheeewsh
Step-by-step explanation:
If a || b and _____, then a || c.
b perpendicular c
b || c
a perpendicular c
b perpendicular a
Answers
The answer is:
The correct option, is the second option:
b || c ( b and c are parallel).
Why?To solve the problem, let's remember the following relationship:
If:
[tex]a=b[/tex]
and
[tex]b=c[/tex]
Then:
[tex]a=c[/tex]
So, from the statement we know that a and b are parallel (a || b), so, if a and c are parallel ( a || c) it means that b and c are parallel ( b || c).
Hence, the correct option is:
The second option, b || c ( b and c are parallel)
Have a nice day!
The Palm Springs tramway takes passengers from the hot valley and brings them 5800 feet up into the cool San Jacinto mountains. The 15 minute ride costs about $20. Suppose the mountain terminal is 11520 feet West of the valley terminal. Use the Pythagorean Theorem to find the length of the cable that connects the two terminals
.Length of cable = _____ feet
Round your answer to 2 decimal places
Answers
Answer:
12,897.69 ft
Step-by-step explanation:
The cable is assumed to be the hypotenuse of a right triangle with side lengths 11520 ft and 5800 ft. Then the length of it (in feet) is ...
cable length = √(11520² +5800²) = √166,350,400 ≈ 12,897.69 . . . feet
_____
Comment on the question
A cable that long will have considerable sag, so even an answer rounded to the nearest 10 ft is probably in error by quite a bit.
Jane had several stamps. She gave 10 of them to her friend. Afterwards, Jane's mom bought her twice as many stamps as she had in the beginning. How many stamps did Jane have in the beginning if she now has a total of 50 stamps?
Answers
Answer:
Jane had 20 stamps in the beginning
Step-by-step explanation:
* Lets study the information in the problem
- Jane has unknown numbers of stamps
- She gave 10 of them to her friend
- Her mom give her twice as many stamps as she had in the beginning
* To solve the problem let the unknown numbers of stamps = x
∵ Jane had at the beginning x stamps
- She gave her friend 10 of them
∴ The rest with her = x - 10 stamps
- Her mom gave her twice as many stamps as she had in the beginning
∵ She had at the beginning x stamps
∴ Her mom gave her 2 × x = 2x
∴ The number of stamps with her now = x - 10 + 2x stamps
- She has now 50 stamps
∴ x - 10 + 2x = 50 ⇒ add the like term
∴ 3x - 10 = 50 ⇒ add 10 to both sides
∴ 3x = 60 ⇒ divide both sides by 3
∴ x = 20
∴ Jane had 20 stamps in the beginning
Please Help!!!!!! Using the rest of my points for this!
Answers
It’s the first one on the top left corner
Answer:
A (top left)
Step-by-step explanation:
24 / 16 = 1.5
42/28 = 1.5
So SF =
Answer is: A (top left)
If forester Kim walks 20 paces in a chain, and she walks 81 paces between points c and d, how far apart, in feet, are points c and d?
Answers
Answer:202.5 ft
Step-by-step explanation: 1 pace is 2.5 feet so 81 paces are 202.5 feet
In the paper airplane,ABC≠EFGH m
a. 90
b. 52
c. 128
d. 62
Answers
Answer:
90 maube
Step-by-step explanation:
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
The graph of the function y = x2 is shown. How will the graph change if the equation is changed to y = 2x^2?
Answers
Answer:
The parabola will become narrower.
Step-by-step explanation:
Because of the coefficient 2, every value of x² is doubled, which means higher value on the same X coordinate, compared to the y = x² function.
Answer: B) The parabola will become narrower
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a (x - h)² + k where
"a" is the vertical stretch (shrink/compression if |a| < 1)(h, k) is the vertexIn the given equation of y = 2x², the a-value has increased so it is stretched. When the graph stretches, the sides will get closer together thus the parabola will become narrower.
A customer wants you to enlarge a photo to 2 3/ 4 its current height. The photo's current height is 3 1/4 inches. What should its enlarged height be, in inches?
Answers
I think the answer should be 6,I just added the two fractions
2.) The inverse of the function y = 7x + 5 is y = x+5/7
A. True
B. False
Answers
Answer:it is false
Step-by-step explanation:
Since we are talking about inverse of a function. we would be dealing with reversal. An inverse function is function that reverses another function. Getting the inverse will require reversing the numerator and denominator. This means that the numerator becomes the denominator and the denominator becomes the numerator.
The function given is
y = 7x + 5
Let us solve to see whether the inverse is is y = x+5/7 is true or false
The numerator is 7x + 5 and the denominator is 1
The inverse becomes 1 / (7x + 5 )
So it is false
Car Sales
Name Sales
Patrick 8
Jeffrey 12
Robin 7
Sally 15
Manuel 4
Ming 10
Jesse 12
Mark 17
Jenna 16
The owner of a car dealership keeps track of the monthly car sales for the salespeople at the dealership. What is the range for the number of cars sold?
Answers
Answer:
The answer is 13- cedric Rhen
Step-by-step explanation:
The range for the number of cars sold at the dealership is 13 cars, calculated by subtracting the lowest sales number (4) from the highest (17).
The range for the number of cars sold by the salespeople at the dealership can be calculated by finding the difference between the maximum and minimum sales numbers. First, we identify the highest and lowest sales figures from the list provided. The highest number of sales is 17 (by Mark) and the lowest is 4 (by Manuel).
Now, subtract the minimum from the maximum to get the range: 17 (max) - 4 (min) = 13.
Therefore, the range for the number of cars sold is 13 cars.
help me out please please
Answers
Answer:
2.25π m²
Step-by-step explanation:
The area (A) of a circle is calculated using the formula
A = πr² ← r is the radius
here the diameter = 3
The radius is half the diameter, that is radius = 1.5, so
A = π × 1.5² = 2.25π m²
Simplify:
7x2 – 4x + x2 – 3
Answers
Answer:
8x² -4x -3
Step-by-step explanation:
The x² terms are "like" terms, so can be combined. They have the same variable to the same power.
7x² -4x +x² -3
= (7+1)x² -4x -3 . . . . use the distributive property to rewrite 7x² +x²
= 8x² -4x -3
How much is the difference in yearly median income for a female versus male at a masters degree level?
Answers
Answer: the difference in yearly median income for a female vs male at a masters degree level is
$15,642.90/year
Step-by-step explanation:
there are roughly 52.143 week in a year.
the median weekly income for a female with a masters degree is : $901.00
the median weekly income for a male with a masters degree is :
$1,201
so if you multiply $901 x 52.143 you get :
$46,980.84, which is what a female makes in a year with a md
and if you multiply $1,201 x 52.143 you get :
$62,623.74, which is what a male makes in a year with a md
subtract $62,623.74 - $46,980.84 you get :
$15,642.90 / year
Final answer:
The difference in yearly median income for a female versus male at a master's degree level is $89,804.
Explanation:
The difference in yearly median income for a female versus male at a master's degree level is $2,951 per week. To find the yearly difference, we can multiply this average by 52 weeks, which equals $153,452 per year.
Comparing this to the median yearly earnings for a full-time worker over 25 with no higher than a bachelor's degree, which is $63,648, we can see that having a master's degree more than doubles the earning potential.
Therefore, the difference in yearly median income for a female versus male at a master's degree level is approximately $89,804.
Please help me with this
Answers
Answer:
h = 40 cm
Step-by-step explanation:
The volume (V) of a cylinder is calculated using the formula
V = πr²h ( r is the radius and h the height )
here V = 3240π, thus
π × 9² h = 3240π
81πh = 3240π ( divide both sides by 81π )
h = [tex]\frac{3240\pi }{81\pi }[/tex] = [tex]\frac{3240}{81}[/tex] = 40
A building manager installs sensors to see how often people turn off the lights when they leave the room. After a month the manager has a sample size of 625, a sample mean of 47%, and a sample standard deviation of 5%. What is the confidence level for a confidence interval of 46.8% to 47.2%?
A. 85%
B. 99.7%
C. 95%
D. 68%
Answers
Answer:
D. 68%
Step-by-step explanation:
The following statistics are given;
sample mean = 47%
s = 5% ; the sample standard deviation
n = 625 ; the sample size
The confidence interval for a population mean is given as;
sample mean ± z-score*[tex]\frac{s}{\sqrt{n} }[/tex]
Substituting the above values we have;
47 ± z-score*[tex]\frac{5}{\sqrt{625} }[/tex]
47 ± z-score*0.2
The confidence interval has been given as;
lower limit = 46.8%
upper limit = 47.2%
We can use any of these two values with the above expression to solve for the z-score. Using the lower limit we have the following equation;
47 - z-score*0.2 = 46.8
-z-score*0.2 = 46.8 - 47
-z-score*0.2 = -0.2
z-score = 1
The area of the standard normal curve between -1 and +1 will be the confidence level for the given confidence interval.
Pr( -1<Z<1 ) = 0.68 = 68%
From the Empirical rule
Answer:D. 68
Step-by-step explanation:
Mike and alice recycled 147 bottles altogether. Mike recycled 6 times as many bottles as Alice. How many bottles did alive recycle
Answers
total=147
a:m
1:6 =7
147÷7=21
21×1=21
alice recycled 21 bottles
Answer:
21
Step-by-step explanation:
We have an equation in the first sentence we are given. Mike and Alice together recycled 147 bottles, so in equation form that looks like this:
M + A = 147.
That alone doesn't do us much good because we have 2 unknowns. The next sentence gives us Mike's number of bottles based on Alice's. If the number Mike recycles is 6 times as many as Alice, replace the word "is" with an "=" and "6 times as many as Alice" with 6A to get:
M = 6A
Now we can go back to the first equation and replace M with 6A:
6A + A = 147
Now we only have A's. That's a good thing. Solve for A:
7A = 147
A = 21