Square BCDE with vertices B(-6,7),C(-2,6),D(-3,2), and E(-7,3) in the y-axis. find the reflection?
Answers
Answer:
The vertices of the square [tex]B'C'D'E'[/tex] are [tex]B'(x, y) = (6,7)[/tex], [tex]C'(x,y) = (2, 6)[/tex], [tex]D'(x,y) = (3,2)[/tex] and [tex]E'(x,y) = (7,3)[/tex]
Step-by-step explanation:
From Geometry we notice that a reflection with axis of symmetry on y-axis is represented by the following formula:
[tex](x',y') = (-x, y)[/tex], [tex]\forall \,x,y\,\in\mathbb{R}[/tex]
Thus, the vertices of the square [tex]B'C'D'E'[/tex] are [tex]B'(x, y) = (6,7)[/tex], [tex]C'(x,y) = (2, 6)[/tex], [tex]D'(x,y) = (3,2)[/tex] and [tex]E'(x,y) = (7,3)[/tex]
Coordinates of the image square B'C'D'E' after reflecting the square BCDE across y-axis will be B'(6, 7), C'(2, 6), D'(3, 2), E'(7, 2).
If a point (x, y) is reflected across y-axis, rule to be followed,
(x, y) → (-x, y)
Following this rule coordinates of image square B'C'D'E' will be,
B(-6, 7) → B'(6, 7)
C(-2, 6) → C'(2, 6)
D(-3, 2) → D'(3, 2)
E(-7, 2) → E'(7, 2)
Therefore, vertices of the image square will be B'(6, 7), C'(2, 6), D'(3, 2), E'(7, 2).
Learn more,
https://brainly.com/question/905639
Related Questions
WILL GIVE 40 POINTS
What is the value of n in this expression?
(3^2)^10 = 3^n
Answers
Answer: N=20
Step-by-step explanation:
30^20=3n since the bases are the same, set the exponents equal
20=n
swap
n=20
answer is n=20
Answer:
n=7,776
Step-by-step explanation:
3 to the power of 2 equals 6.
6 to the power of 10 equals 60,466,176
Square root of 3 to the power of n is n
square root of 60,466,176 is 7,776
There are 10 fish in a tank. 30% of them are guppies. What is the probability that
fish chosen at random will be a guppy?
GUYS I NEED HELP!!
Answers
9514 1404 393
Answer:
30%
Step-by-step explanation:
If 30% of the fish are guppies, a randomly chosen fish will be a guppy with probability 30%.
Write these fractions in their simplest form:
A. 49/84
B. 216/64
Answers
Answer:
A. 7/12
B. 27/8 or 3 & 3/8
Models of inventory systems frequently consider the relationships among a beginning inventory,
a production quantity, a demand or sales, and an ending inventory. For a given
production period j, let
sj-1 = ending inventory from the previous period (beginning inventory for period j)
xj = production quantity in period j
dj = demand in period j
sj = ending inventory for period j
a. Write the mathematical relationship or model that shows ending inventory as a function
of beginning inventory, production, and demand.
b. What constraint should be added if production capacity for period j is given by Cj?
c. What constraint should be added if inventory requirements for period j mandate an
ending inventory of at least Ij?
Answers
a. This equation states that the ending inventory for period j (sj) is equal to the beginning inventory from the previous period (sj-1) plus the production quantity in period j (xj), minus the demand in period j (dj).
b. This constraint ensures that the production quantity in period j (xj) does not exceed the production capacity for that period (Cj).
c. This constraint ensures that the ending inventory for period j (sj) is greater than or equal to the required inventory level for that period (Ij).
a. The mathematical relationship or model that shows ending inventory as a function of beginning inventory, production, and demand can be represented as:
sj = sj-1 + xj - dj
This equation states that the ending inventory for period j (sj) is equal to the beginning inventory from the previous period (sj-1) plus the production quantity in period j (xj), minus the demand in period j (dj).
b. If the production capacity for period j is given by Cj, the constraint that should be added is:
xj ≤ Cj
This constraint ensures that the production quantity in period j (xj) does not exceed the production capacity for that period (Cj).
c. If inventory requirements for period j mandate an ending inventory of at least Ij, the constraint that should be added is:
sj ≥ Ij
This constraint ensures that the ending inventory for period j (sj) is greater than or equal to the required inventory level for that period (Ij).
Learn more about equation from
https://brainly.com/question/29174899
#SPJ11
Factorise the given question: 3p^-7p-6
Answers
Answer:
(p−3)⋅(3p+2)
Step-by-step explanation:
STEP 1 :
Equation at the end of step 1
(3p2 - 7p) - 6
STEP 2 :
Trying to factor by splitting the middle term
2.1 Factoring 3p2-7p-6
The first term is, 3p2 its coefficient is 3 .
The middle term is, -7p its coefficient is -7 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 3 • -6 = -18
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -7 .
-18 + 1 = -17
-9 +2 = -7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 2
3p2 - 9p + 2p - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
3p • (p-3)
Add up the last 2 terms, pulling out common factors :
2 • (p-3)
Step-5 : Add up the four terms of step 4 :
(3p+2) • (p-3)
Which is the desired factorization
Final result :
(p - 3) • (3p + 2)
What is 2+2? I NEED EXPLANATION PLS I DONT HAVE A LOT OF TIME I NEED EXPLANATION AND WHY I REALLY DONT KNOW I NEED HELP
Answers
Answer:
4
Step-by-step explanation:
WKKSKSK
BEACUSE
2+2=4
bOom
Answer:
4
Step-by-step explanation:
Because if you have 2 dollars and someone else has 2 dollars and they gave the 2 dollars to you. You have 4 dollars.
A lawnmower was purchased at rupees 1100 and rupees 50 were paid as transportation charges. It was sold at 14% profit. Find its selling price
Answers
Answer:
Rs 1311
Step-by-step explanation:
1100 + 50 = 1150
1150 * 114%
NB : since the profit is 14% means it is 14% hence 114% = 100% + 14% meaning the 100% original amount + the 14% profit
= Rs 1311
What is the average speed of the diver in the water? How can you tell from the graph?
Answers
#1 Find the Area*
7 in
11 in
Your answer
170
Answers
Answer:
The area is 77
Step-by-step explanation:
7*11=77
Answer:
area = 77
Step-by-step explanation:
if 7 is one side, and 11 is the other, and we know that length times width is the area of a rectangle or a square, we can set up a simple equation to solve for the area:
7 x 11 = ?
when looking at multiplying by 11s, the pattern is 2 of the number your multiplying it by until you exceed 9 (ex. 11 x 5 = 55, 11 x 4 = 44, 11 x 9 = 99, etc.) so:
7 x 11 = 77. which is your answer.
i hope this helped :))
work work out the value of 3 ^ 2 plus 2 ^ 3
Answers
Answer:
Step-by-step explanation:
First 3 to the power of 2 is 3 X 3 which is nine. Next 2 the power of three is 2 X 2 X 2 which is 8. 9+8=17.
(-4)(6) i need help i don't know it
Answers
Answer:
-24
Step-by-step explanation:
(-4)(6)
-24
Answer:
-24
Step-by-step explanation:
(-4)(6)
I'm pretty sure you just multiply these two numbers
So -4(6)
=-24
Hope this helps :)
farmer janet can plant nine feet of carrots in 15 minutes while her daughter Amy can plant 17 feet of carrots in half an hour.Justify your answer.
Answers
Answer:
a. Farmer janet
b.Farmer janet = 36 feet, daughter = 34 feet
Step-by-step explanation:
a. When moving both rates to the same common denominator we get 18/30 for janet and 17/30 for daughter
b. janet = 18/30 = 36/60, daughter = 17/30 = 34/60
If the semi-circle and the parabola are the respective graphs of fx= square root of 9-x2,gx=b- 1/4 x2, find the value of b.
Answers
The value of b is 2.
To find the value of b, we need to equate the equations of the semi-circle and the parabola.
The equation of the semi-circle is given as fx = √(9 - x²).
The equation of the parabola is given as gx = b - (1/4)x².
Since both graphs represent the same function, we can equate them and solve for the value of x:
√(9 - x²) = b - (1/4)x²
To simplify the equation, let's square both sides:
9 - x² = (b - (1/4)x²)²
Expanding the right side of the equation:
9 - x² = b² - 2b(1/4)x² + (1/16)x⁴
Combining like terms:
9 - x² = b² - (1/2)bx² + (1/16)x⁴
Since the two sides of the equation are equal for all values of x, the coefficients of each power of x must be equal. Comparing the coefficients, we have:
-1 = -b/2 (coefficient of x² term)
0 = 1/16 (coefficient of x⁴ term)
From the coefficient of the x² term, we can solve for b:
-b/2 = -1
b/2 = 1
b = 2
Learn more about equations of circles and parabolas here:
https://brainly.com/question/28711777
#SPJ11
6(6b+7n-2n) btw its distrubitive property im kinda confused
Answers
Answer:
36b + 30n
Step-by-step explanation:
1. solve your like terms inside the parentheses to get 6(6b + 5n)
2. distribute the 6 on the outside, to get 36b + 30n
:)
which twos ratios represent quantities that are proportional?
14/37 and 37/14
10/15 and 14/21
7/11 and 28/48
15/27 and 8/12
Answers
Answer: it’s 10/15 and 14/21 ;)
Step-by-step explanation:
Florence works in the shipping department of a toy factory that makes radio-controlled helicopters. Small helicopters weigh 3 kilograms each, and are shipped in a container that weighs 20 kilograms. Large ones, on the other hand, weigh 4 kilograms apiece, and are shipped in a container that weighs 10 kilograms. If these boxes can hold a certain number of helicopters each, all of the packed containers will have the same shipping weight. What would the total weight be?
Answers
Answer:
50 kg
Step-by-step explanation:
Given that:
SMALL HELICOPTERS:
Weight of small helicopters = 3kg
Weight of shipping container = 20kg
LARGE HELICOPTERS:
Weight of large helicopters = 4kg
Weight of shipping container = 10kg
Number of helicopters each shipping container can hold = s ; all of the packed containers will have the same shipping weight
Shipping weight :
(Weight per helicopter * number of helicopter) + weight of shipping container
Shipping weight of Small helicopters :
(3kg * s) + 20
Shipping weight Large helicopters :
(4kg * S) + 10
Shipping weight of Small helicopters = shipping weight of large helicopters
3s + 20 = 4s + 10
20 - 10 = 4s - 3s
10 = s
Hence, member of shipped helicopters = 10
Total shipping weight :
(4 * S) + 10
(4*10) + 10
40 + 10 = 50kg
What is the value of the expression - 25(12)?
Answers
Answer:
300
Step-by-step explanation:
multiply 25 by 12
a cleaning service lets customers decide which way they would like to be charged.
• for choice A, the total cost is $25 dollars per hour of cleaning.
•for choice B, the total cost is $50+$15h, where h is the number of hours of cleaning.
which of the following statements is true?
• Choice A always costs more $10 more than choice B
• Choice B is always more expensive
• Choice A charges less for a cleaning job that takes 5 hours
• Choice B charges more for a cleaning job that takes 3 hours.
Answers
Answer:
the 4th statement
Step-by-step explanation:
subsititute the values for h, use numbers between 1-10 to help find the answer.
If 0° < x < 90° and
2 1
2sin
2
x
, then the value of x
is:
Answers
The value of x within the given range is x = 45°.
We have the equation 2sin^2(x) = 1. To find the value of x within the given range, we can solve for sin(x) first and then find the corresponding angle.
Starting with 2sin^2(x) = 1, we divide both sides by 2 to get sin^2(x) = 1/2. Taking the square root of both sides, we have sin(x) = √(1/2). Since 0° < x < 90°, we know that sin(x) is positive in this range.
The value of √(1/2) is approximately 0.707. Therefore, sin(x) = 0.707.
To find the corresponding angle x, we can use the inverse sine function (sin^(-1)). Taking the inverse sine of both sides, we have x =[tex]sin^(^-^1^)^(^0^.^7^0^7^)[/tex].
Evaluating sin^(-1)(0.707) using a calculator, we find that x is approximately 45°.
Note that sine is a periodic function, and there are other angles that satisfy the equation 2sin^2(x) = 1. However, within the specified range of 0° < x < 90°, the value of x is 45°.
For more such questions on range
https://brainly.com/question/30389189
#SPJ8
What is the answer to 4 (-1/2)?
Answers
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
-1/2 = -0.5
-0.5 x 4 = -2
Devin wants to buy some t-shirts from a store in the mall. He has $20 in his pocket and the t-shirts cost $5 each. The situation can be modeled by the function F(t) = 5t, where F(t) represents the total cost of t t-shirts. State a reasonable domain and range for this situation.
Pls help
Answers
Answer:
25 bbgdswweghjyyhhhhhh
how many bottles of chocolate can you buy with $20 if one cost $4?
One step equation
Answers
Develop a POQ solution and calculate total relevant costs for the data in the following table.
Period 1 2 3 4 5 6 7 8 9 10 11 12
Gross requirements 30 40 30 70 20 10 80 50
fill in the table and calculate total costs.
*Holding cost =$ 3.50 / unit/week; setup cost =$ 200 ; lead time =1 week; beginning inventory =40 . a lot-for-lot solution (enter your responses as whole numbers).
Answers
Using the information provided in the table, The total holding cost is $547.50, the total setup cost is $600 and the total cost is $1,147.50.
How to calculate the total costTo develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.
The missing values can be found on the attached table.
From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.
Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.
Learn more on total cost on https://brainly.com/question/29802410
#SPJ1
helpp!!! i will mark as brainliest
Answers
Answer:
i. no
ii. yes
iii.no
️️️️
What is the slope of the graph?
Answers
Answer:
-3
Step-by-step explanation:
It's a negative slope and you do 3/1= 3 as it is negative the slope is -3
Hope this helped :)
15+5n+-5n-5+6n
-5, 5, -1, -3
WHICH ONE
Answers
Answer:
it is th3 or forth your welcome
Step-by-step explanation:
A student said that 42% of 78 is 45. Is this answer reasonable? Explain.
Answers
Answer:
No because 42% of 78 is 32.76
Step-by-step explanation:
Answer:
Answer: Sample response: 42% can round to 40%, and 78 can round to 80. 40% of 80 is 32, so 42% of 78 should be about 32. 45 is much greater than 32, so the answer is not reasonable.Step-by-step explanation:
Hope this helps :)Silva set up a dog-walking business. He earned $60 in June. He is projected to earn 110% more in July. How much is Silva projected to make in July?
$126
$170
$176
$660
Answers
9514 1404 393
Answer:
$126
Step-by-step explanation:
110% more than 100% is 210% of his June earnings:
july = 2.10×$60 = $126
Silva is projected to make $126 in July.
_____
As always, you can think of % and /100 as being interchangeable.
210% = 210/100 = 2.10
Answer:
126
Step-by-step explanation:
heyy guys me and my friends are struggling on this question on our post test in anyone know how to do it could u lend a hand :(
Answers
Answer:
40
Step-by-step explanation:
D Question 20 3 pts At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 2 centimeters and a standard deviation of 0.2 centimeter. A random sample of 30 computer chips is taken. What is the standard error for the sample mean? 0.037 0.200 0,091 O 0.120
Answers
Standard Error for the sample mean ≈ 0.037
The standard error for the sample mean measures the average amount of variability or uncertainty expected in the sample mean compared to the population mean.
It quantifies how much the sample mean is likely to deviate from the true population mean.
In this case, the actual size of computer chips is normally distributed with a mean of 2 centimeters and a standard deviation of 0.2 centimeters.
By taking a random sample of 30 computer chips, we can estimate the mean size of the population.
The standard error for the sample mean can be calculated using the formula:
Standard Error = Standard Deviation / √(Sample Size)
Standard Error = 0.2 / √(30)
Calculating the square root of 30, we find:
Standard Error ≈ 0.037
This indicates that the sample mean is expected to deviate from the true population mean by around 0.037 centimeters on average.
To know more about Standard Error refer here:
https://brainly.com/question/32854773#
#SPJ11
