Rectangle ABCD is translated according to the rule (x, y) → (x + 6, y) to rectangle A′ B′ C′ D′ and then rotated 90° counterclockwise about the origin. What are the coordinates of rectangle A″B″C″D″?
A)
A″ (1, –1), B″ (5, 1), C″ (5, –4), D″ (1, –4)
B)
A″ (1, 1), B″ (1, 5), C″ (4, 5), D″ (4, 1)
C)
A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)
D)
A″ (5, 1), B″ (1, 1), C″ (1, 4), D″ (5, 4)
Answer:
c
Step-by-step explanation:
The coordinates of rectangle A″B″C″D″, A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
ABCD is a rectangle.
ABCD is translated according to the rule (x, y) → (x + 6, y) to rectangle A′ B′ C′ D′ and then rotated 90° counterclockwise about the origin.
Translating means equivalent to shifting the base graph left or right in the direction of the x-axis. A graph is translated k units horizontally by moving each point on the graph k units horizontally.
The coordinates of rectangle after translations are A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)
Hence the coordinates of rectangle A″B″C″D″, A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)
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If a carpet costs $6.99 per square yard, how much
would it cost to buy carpet for the room in
problem 1?
Carpet costs $1 to $5 per square foot on average for the materials. Carpet prices start at $0.50 to $0.75 per square foot for cheap, builder-grade nylon, polyester, or olefin. Medium grade to high-quality carpet costs $2 to $10 per square foot on average.
The amount of time taken to finish a Biology exam has a normal distribution with a mean of 80 minutes and standard deviation of 15 minutes. About what percent of test takers finished the exam less than 65 minutes
Answer:
15.86552112%
Step-by-step explanation:
Approximately 15.87% of test takers completed the exam in under 65 minutes.
How to find the percentage of test takers?To find the percentage of test takers who finished the exam in less than 65 minutes, we need to use the normal distribution to find the proportion of test takers who fall within this time range.
First, we need to convert the time in minutes to a standard score, also known as a z-score.
The formula for calculating the z-score is:
z = (x - μ) / σ
where x is the value (in this case, the time taken to finish the exam), μ is the mean, and σ is the standard deviation.
Substituting the given values into the formula, we get:
z = (65 - 80) / 15 = -1
This means that the time of 65 minutes is 1 standard deviation below the mean.
Next, we can use a z-table or a calculator that can calculate the area under the normal curve to find the proportion of test takers who scored less than 65 minutes. This proportion is the same as the percentage of test takers who finished in less than 65 minutes.
Using a z-table or a calculator, we find that the proportion of test takers who scored less than 1 standard deviation below the mean is about 0.1587 × 100% = 15.87%. This is also the percentage of test takers who finished the exam in less than 65 minutes.
Therefore, about 15.87% of test takers finished the exam in less than 65 minutes.
Learn more about the z-score here:
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Is this relation a function? Justify your answer.
A. No, because two points with the same y-value have different x- values.
B. Yes, because every x-value corresponds with a single y-value.
C. Yes, because every x- and y-value is positive.
D. Yes, because the number of x-values is the same as the number of y-values.
Answer:
the answer is b
Step-by-step explanation:
1.5(x + 4) – 3 = 4.5(x – 2)?
PLEASE HELP ME ILL MARK BRAINLIEST !!!!! spam reported
Answer:
a) 294
b) 10
Step-by-step explanation:
42minutes*7gallongs= 294 gallons in 42 minutes
30fish/3days = 10 fish per day.
Find the value of x.
Answer:
x = 11
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
3x + 4 + 5x - 2 + 90 = 180
8x + 92 = 180 ( subtract 92 from both sides )
8x = 88 ( divide both sides by 8 )
x = 11
Please help me with this problem! thank you!!
[tex]\theta = 0.1278\:\text{rad}[/tex]
Step-by-step explanation:
The arc length S is related to the angle subtended by the is relation:
[tex]S = r\theta[/tex]
where r is radius of the circular orbit. In this case the radius is
[tex]r = 3960\:\text{mi} + 500\:\text{mi} = 4460\:\text{mi}[/tex]
and S = 570 mi so the angle [tex]\theta[/tex] is
[tex]\theta = \dfrac{S}{r} = \dfrac{570\:\text{mi}}{4460\:\text{mi}}[/tex]
[tex]\:\:\:\:\:= 0.1278\:\text{rad}[/tex]
Find the sum 8 2/9 - 2 2/3
A. 5 1/3
B. 5 5/9
C. 6 2/3
D. 6 5/9
Answer:
I think it's B :D
Step-by-step explanation:
D.6 5/9
HOPE IT HELP CHILD
Which expression is equivalent to
(
8.4
x
+
2.9
)
+
(
−
3.7
x
+
5
)
?
Answer:
i have the same question lol
Step-by-step explanation:
But i d k the answer either sorry
Answer: 4.7x + 7.9
Step-by-step explanation: 8.4x + 2.9 - 3.7x + 5
( 8.4x- 3.7x) + ( 2.9+ 5)
( ( 8.4- 3.7) X x + ( 2.9+ 5)
4.7x + (2.9+5)
4.7x + 7.9
I hope this helps have a great Day/night!!
Prove the polynomial identity 1. x ^ 2 - y ^ 2 = (x - y)(x + y)
If ΔFGH ≅ ΔIJK, which segment is congruent to segment GH?
A.)segment HF
B.)segment JK
C.)segment IJ
D.)segment FG
Step-by-step explanation:
since I don't see a picture, I can only go with the written information. and then I have to rely on the writer to strictly use the same sequence of points when comparing objects.
and so, GH must be congruent to JK.
What is the slope of the blue line
Hello there!
To find the slope of a line, we need to know at least two points contained in the graph of the line.
The slope [tex]m[/tex] of a line passing through the points [tex](x_0,~y_0)[/tex] and [tex](x_1,~y_1)[/tex] is given by the formula: [tex]m=\dfrac{y_1-y_0}{x_1-x_0}[/tex].
As we can see on the graph, two points contained on the line are [tex](0,~3)[/tex] and [tex](2,~0)[/tex].
Using the formula above, we get that:
[tex]m=\dfrac{3-0}{0-2}[/tex]
Subtract the values on both numerator and denominator of the fraction
[tex]m=-\dfrac{3}{2}~~\checkmark[/tex]
This is the slope of this line we were looking for and is the answer contained on the 4th option.
what is the slope of this line A 3/2 B 2/3 C -3/2
Answer:
B 2/3
Step-by-step explanation:
What is m<TVZ? Show your work.
Step-by-step explanation:
What is m∠TVZ?
m∠TVZ is angle TVZ
Find the area of the composite figure.
First, find the area of the triangle.
Triangle
Area = [?] cm2
Rectangle
Area = [ ]cm
10 cm
30 cm
Total Area of Composite
Figure = [] cm2
16 cm
Enter
Answer:
630
Step-by-step explanation:
First do length x width divided by 2, to find the area of the triangle.
You get, 150.
To find the area of the rectangle, do 16 x 30= 480
Lastly you add 150 and 480=
630
I hope this helped! :)
explain step by step
Answer:
Step-by-step explanation:
(3x - 4)/8 = (x + 2)/3 Cross multiply
8(x +2) = 3(3x - 4) Remove the brackets using the distributive property
16x + 16 = 9x - 12 Subtract 16 from both sides
16x = 9x - 12 - 16 Combine
16x = 9x - 28 Subtract 9x from both sides
16x - 9x = - 28 Combine
7x = - 28 Divide by 7
x = - 4
HELP PLS!!! I just need help on #2 the commutative property of addition
Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are the same, but the y-intercepts are different. How
many solutions would you expect for this system of equations?
A. infinitely many
B. 0
ОО
C. cannot be determined
D.
Answer:
No solutions (cannot be determined)
Step-by-step explanation:
If the slopes are the same, but the y-intercepts are different, this means that the lines will never intersect each other because they are going at the same rate but starting on different positions of the y-axis. Therefore, there are no solutions for the system of equations.
HELPPP sorry about the quality i couldn’t get it any clear .
Answer:
180-130=50
Then fill in the blanks (* sorry if this doesn't make sense but here are the answers *)
1,3,4,5,6: 130
2,7,8: 50
:)
survey of 25 students in line during registration that 3 were math majors 10 were history majors 2 were psychology majors 7 were biology majors and the rest were undecided if the clerk calls a name from the same line of students at random find the probability of students would be either history or biology major
Answer:
Most likely math majors
Step-by-step explanation:
Math majors have 10, and biology majors was 7. If you put it in percent for using 100% as your highest percent it is 10%MM and 7%BM
MM = math majors
BM = biology majors
Hope this helps!!:)))
como se presenta el nucleo en el predicado
On this view, the primary constituent units of the Page 4 Chapter 1, page 4 clause are the NUCLEUS, which contains the predicate (usually a verb), the CORE, which contains the nucleus and the arguments of the predicate, and the PERIPHERY, which subsumes non-arguments of the predicate.
Write the number 605,000 in words! :]
Answer:
Six Hundred and five thousand
Answer: six hundred and five thousand
I hope this help I would appreciate brainliest if possible :)
If ABCD is a rhombus containing a right angle, then DABC is a square. Can you explain your reasoning?
The opposite angles of a rhombus are congruent
It is true that rhombus ABCD is a square
A rhombus has the following features
All sides are equal.Opposites angles are equal.Adjacent angles add up to 180 degreesThe above highlights mean that:
The angle opposite the right angle is also a right angle.The angles adjacent the right angles are also right angles.So, the four angles in the rhombus are right angle, and the side lengths are equal.
Hence, the rhombus is a square
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a diamond ring was reduced from $799.99 to $499.99 find the percent decrease in the price round the answer to the nearest tenth of a percent if necessary
Answer:
The price was reduced by about 53%
Step-by-step explanation:
Per cent of change = (amount of change) ÷ (original amount)
% change = (799.99 - 375.99)/799.99
= 424 / 799
= .5300
= 53 %
30 ptss answer my last question plzz
Answer:
I did :)
Step-by-step explanation:
Question 2(Multiple Choice Worth 5 points)
(04.05)Marisa painted one-half of her bedroom in three-fourths of an hour. At this rate, how long would it take her to paint the entire room?
three-eighths of an hour
eight-thirds of an hour
four-sixths of an hour
six-fourths of an hour
I think its the last one
Answer:
D.six-fourths of an hour
Step-by-step explanation:
(1/2) / (3/4) = 1/x....1/2 bedroom to 3/4 hr = 1 bedroom to x hrs
cross multiply
1/2x = 3/4
x = 3/4 * 2
x = 6/4 of an hr
Work put and simplify where possible
2/5 + 1/3
5/9 - 1/2
Answer:
11/15 and 1/18
Step-by-step explanation:
2/5+1/3 common denominator
6/15+5/15=11/15
5/9-1/2 common denominator
10/18-9/18=1/18
2.
Write an equation for the translation of y = |x|.
10.5 units left
A. y = |x – 10.5|
B. y = |x| + 10.5
C. y = |x| – 10.5
D. y = |x + 10.5|
Answer:
D. y = |x + 10.5|
Step-by-step explanation:
I got this answer correct
Write the ratio in simplest form as a fraction.
2 1/4 to 7 7/8
