Write a series of rigid motions that transform pentagon ABCDE to pentagon A′B′C′D′E′
Answers
Answer:
We need the following three rigid motions:
i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.
Step-by-step explanation:
We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':
i) Reflection around y-axis:
[tex](x',y') = (-x,y)[/tex] (Eq. 1)
ii) Translation three units in the -y direction:
[tex](x'',y'') = (x', y'-3)[/tex] (Eq. 2)
iii) Translation four units in the -x direction:
[tex](x''',y''') = (x''-4, y'')[/tex] (Eq. 3)
We proceed to proof the effectiveness of operations defined above by testing point D:
1) [tex]D(x,y) = (-1, 4)[/tex] Given.
2) [tex](x',y') = (1,4)[/tex] By (Eq. 1)
3) [tex](x'',y'') = (1, 1)[/tex] By (Eq. 2)
4) [tex]D'(x,y) = (-3,1)[/tex] By (Eq. 3)/Result
Related Questions
What is the equation of the line that passes through the point (4, - 7) and has a slope of ? -1/2
Answers
Answer:
y= -1/2x -5
Step-by-step explanation:
in slope intercept form
Answer:
y=-1/2x-5
Step-by-step explanation:
Hope it helps!
C.P.=Rs 400, LOSS=5%, S.P=Rs X, S.P.=C.P.-5% OF C.P, FIND S.P. (STEP BY STEP PLZ)
Answers
[tex]s.p. = c.p. \times 5\% \\ or \: x = 400 \times 5 \div 100 \\ or \: x = 4 \times 5 = 20 \\ [/tex]
What is the line equation for the line of reflection
Answers
It makes sense
Answer:
y=2
Step-by-step explanation:
QUESTION - What is -2(3x + 12y - 17x - 16y + 4) simplified? ANSWERS A. -40x + 8y + 2 B. 28x + 8y + 2 C. 28x + 6y + 2 D. -28x - 8y + 2 -------------------------- Time remaining - 1 hour and 38 minute -------------------------- Please help me! Thank you!
Answers
Answer:
28 + 8y - 8
Step-by-step explanation:
According to the problem;
-2(3x + 12y - 17x - 16y + 4)
Collecting like terms;
-2(3x -17x + 12y - 16y + 4)
-2(-14x - 4y + 4)
28 + 8y - 8
None of the options matches the correct answer.
PLEASE HELP I'M IN A HURRY
Answers
Answer:
The answer is b (1,11)
Step-by-step explanation:
You can graph the lines and find the solution that way (which is where the lines intersect)
or you can algebraically solve.
To check this, you can basically plug in the x and y values for the equation and see if they match with what the equation equals..
Example:
10x + 3y = 43
-9x - y = -20
10(1) + 3(11) --> 10 + 33 = 43.. 43 equals 43
-9(1) - (11) = -9 - 111 = -20.. -20 equals -20
(the values match up so it's a solution)
What are the solutions to the equation -2t+10t=0
Answers
Answer: No solutions
Step-by-step explanation:
Which has a quotient of 60?
A. 480÷80
B. 4,800÷8
C. 4,800÷80
D. 4,800÷800
Answers
Answer:
c 4800/80 =60
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
divide 60 by the 8 and see which it gets
What is the slope of this line?
Answers
Answer:
The slope is -1
Step-by-step explanation:
Answer: -2
Step-by-step explanation:
nice phone case
solve:
-3 ( -4x 1 ) = 13
Answers
Answer:
4/3 (assuming the (-4x 1) is (-4x+1))
Step-by-step explanation:
-3(-4x+1)=13
12x-3=13
12x=16
x=4/3
Answer:
x=4/3Step-by-step explanation:
-3(-4x1)=13<=>12x-3=13 <=>12x=16 <=>x=4/3Find the units of displacement (translation) of the point (4,2) to get the image of (7,7). Chapter (transformation) (coordinates) (translation). Step by step answer please.
Answers
Answer:
The rule of the translation will be:
(x, y) → (x+3, y+5)
Step-by-step explanation:
Translation of an object is basically termed as "sliding" the original. If the image is moved right by the 'c' units, the 'c' unit(s) are added to the x-coordinate and if the image is moved left by the 'c' units, the 'c' unit(s) are subtracted to the x-coordinate.
And If the image is moved up by the 'c' units, the 'c' unit(s) are added to the y-coordinate and if the image is moved down by the 'c' units, the 'c' unit(s) are subtracted to the x-coordinate.
As the point is (4, 2)
The image of the point is (7, 7)
As the coordinates of the image point indicate that 3 units are added to the x-coordinate of the original point, and 5 units are added to the ý-coordinate.
Hence, the image will be move 3 units to the right and 5 units up.
Therefore, the rule of the translation will be:
(x, y) → (x+3, y+5)
as
(4, 2) → (x+3, y+5) = (4+3, 2+5) = (7, 7)
Find the area of this sector
Answers
Answer:
1492.885
Step-by-step explanation:
the whole circle has 360° and an area of pi*r² =pi*24²=pi* 576
for 360° and A=pi*576
for 360-63= 297° and A= (297*576*pi) / 360 = 1,492.885 m²
Katie ordered candles that cost $3 each from a website. She was charged a flat shipping fee of $6 and no sales tax. If she spent a total of $54, which equation can be used to find c, the number of candles she ordered?
Answers
Answer:
Equation can be used to find the number of candles (c) Katie ordered is 54 = 3c + 6 .
Option (C) is correct .
Step-by-step explanation:
A. 3c = 54
B. 6c = 54
C. 3c + 6 = 54
D. 3c – 6 = 54
As given
Katie ordered candles that cost $3 each from a website.
She was charged a flat shipping fee of $6 and no sales tax.
If she spent a total of $54,
c represented the number of candles .
Equation becomes
Total cost = Cost per candle + Flat shipping fee
54 = 3 × c + 6
54 = 3c + 6
Equation can be used to find the number of candles (c) Katie ordered is 54 = 3c + 6 .
Option (C) is correct .
WHOEVER HELPS ME WILL GET A BRAINLIEST!!
Answers
Answer:
question 9 is 8/3 or 2 2/3 question 10 is $18.39
Step-by-step explanation:
The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 55% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 110 pints of a mixture that is 55% pure fruit juice?
Answers
Answer:
The Royal Fruit Company produces two types of fruit drinks. The first type is 70%
pure fruit juice, and the second type is 95%
pure fruit juice. The company is attempting to produce a fruit drink that contains 75%
pure fruit juice. How many pints of each of the two existing types of drink must be used to make 90
pints of a mixture that is 75%
pure fruit juice?
Step-by-step explanation:
To make the desired drink we need to add 30 pints of 95% of the drink, and 80 pints of 40% of the drink.
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.
Given, The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 90% pure fruit juice.
Let,
a = Volume of 40% of drink
b = volume of 95% of drink
Since the two existing types of drink must be used to make 110 pints of a mixture that is 55% pure fruit juice
a + b = 110
0.4a + 0.95 b = 110 * 0.55
Comparing these equations we will get,
a = 80
and b = 30
Therefore, To make the desired drink we need to add 30 pints of 95% of the drink, and 80 pints of 40% of the drink.
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What is the surface area of a cuboid of sides 2 cm, 3 cm, and 5 cm?
Answers
Answer:
the answer is 19cm thank you
Answer:100cm
Step-by-step explanation:
10+4=14
8+10=18
14x2=28
18x4=72
28+72
A graph shows time (minutes), numbered 2 to 18 on the horizontal axis (t), and altitude in feet, numbered 30 to 270 on the vertical axis (h). A solid circle appears at point (0, 210) and point (14, 0), and a line connects the 2 points.
What is the domain of the function represented in the graph?
{t| 0 ≤ t ≤ 14}
{h| 0 ≤ h ≤ 210}
{t | 0 ≤ t ≤ 210}
{h | 0 ≤ h ≤ 14}
Answers
Answer:
its A
Step-by-step explanation:
Carl wheezer told me
The domain of the function will be {t| 0 ≤ t ≤ 14}. so the correct option is A.
Since we know that the domain of a function refers to the set of possible input values or the values that the independent variable can take.
Thus, the independent variable is represented by the horizontal axis, which is time (t) in minutes.
We are given that the solid circle appears at point (0, 210) and point (14, 0), and a line connects these two points.
The x-coordinate of the first point is 0, and the x-coordinate of the second point is 14. So, the time values that correspond to these points are 0 minutes and 14 minutes, respectively.
We can see that the function is defined from time 0 to time 14.
Therefore, the correct answer is:
{t | 0 ≤ t ≤ 14}
This means that the domain of the function is the set of all possible values of t such that t is greater than or equal to 0 and less than or equal to 14.
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given the polynomial function below find F(-4) f(x)=2x^ 2 -x + 9
Answers
Answer:
45
Step-by-step explanation:
The value of f(-4) in the polynomial functions f(x) = 2x² - x + 9 is 45
How to evaluate the function?The function is given as:
f(x) = 2x² - x + 9
Substitute -4 for x
f(-4) = 2(-4)² - (-4) + 9
Evaluate the exponents
f(-4) = 2(16) - (-4) + 9
Evaluate the product
f(-4) = 32 - (-4) + 9
Evaluate the sum and the difference
f(-4) = 45
Hence, the value of f(-4) is 45
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Please help me solve these!!
Answers
Answer:
18i, -7-i, -6+18i
Step-by-step explanation:
1. √-324
first take out the negative as √-1=i
√-324= i√324
324 =2*162
324=2*2*81
324=2*2*9*9
i√324=i√2*2*9*9= i* 2*9= 18i
3.
-4+7i-3-8i combine like terms
-4-3 -8i+7i = -7-i
5.
(1+5i)(4-2i) distribute
1*4 -1*2i +5i*4 -5i*(-2i) multiply
4 -2i +20i +10i² but i²= -1 so
4 -2i +20i -10 combine like terms
-6 +18i
A certain forest covers an area of 3000 km^2. Suppose that each year this area decreased by 8.75%. What will the area be after 11 year? Round answer to nearest square kilometer
Answers
Answer: 11(.875 -3000)
Step-by-step explanation:
which is the correct? help me please
Answers
Answer:
The answer is B. AAA
Step-by-step explanation:
This (AAA) is one of the three ways to test that two triangles are similar . ... If all three angles in one triangle are the same as the corresponding angles in the other, then the triangles are similar.
Answer:
B.
Step-by-step explanation:
Yesenia needs to rent storage space for some of her belongings. She paid a one-time original storage fee
of $45.00, and now pays $18.00 each month (m). Which answer choice shows an expression that
represents the total amount Yesenia has paid after a certain number of months (m)?
Answers
Answer:
its 67
Step-by-step explanation:
Which of these graphs is a function?
PLEASE HELP
15 POINTS OR A BRAINLIST
Answers
A makes a line, B doesn’t
Have a great day!
Answer:
Graph B
Step-by-step explanation:
when identifying a function the point cannot fall on the same vertical line
WILL GIVE EXTRA POINTS
Assignment name: Segment Addition
Answers
Answer:
the measure of AB equals the measure of BC
2x+1=3x-4
4+1=3x-2x
5=x
BC=3x-4=3*5-4=15-4=11
AB=2x+1=2*5+1=10+1=11
AC=AB+BC=11+11=22
Step-by-step explanation:
Answer:
x = 18
Step-by-step explanation:
2x + 5 + 17 = 3x + 4
2x + 22 = 3x + 4
2x + 22 - 22 = 3x + 4 - 22
2x = 3x - 18
2x - 3x = 3x - 18 - 3x
-x = -18
-x / -1 = -18 / -1
x = 18
Hope this helps!
Rotation of 360° centered at the origin. yes or no
Rotation of 360°centered at (2,3). yes or no
Rotation of 90° centered at (3,5). yes or no
Rotation of 45° centered at (2,3). yes or no
Rotation of 225° centered at the origin. yes or no
Rotation of 270° centered at (2,3). yes or no
Rotation of 181° centered at (2,3). yes or no
Answers
Answer:
YesnoyesyesnonoYesStep-by-step explanation:
Its in the Chrome Yowill find it there but Thank you
A recipe that serves 8 people requires 4 1/2 cups of flour.
How many servings are in one recipe?
Answers
Answer:
1
Step-by-step explanation:
trust me
Answer fast plzzzz ASAP
Answers
Answer:
I think its 4
Step-by-step explanation:
It may be 4 I am so sorry if its wrong
Answer:
this is what you get for this
Step-by-step explanation:
what is angle dar in circle a
Answers
Answer:
end of course geometry - Virginia Department of Educationwww.doe.virginia.gov › sol › test10_eoc_geometry
angle B. A. Triangle A is similar to triangle B. Line AB is perpendicular to line CD. ... 27 What is in circle A ? A 17°. B 34°. C 56°. D 68°. B. R. D. A. 34
The angle measure of m∠DAR is 68°.
What is an Inscribed Angle?An inscribed angle is the angle that an arc at any point on the circle subtends.
Given information:
A circle is centered at 'A'.
m∠RBD = 34°.
Arc RD is given.
To find the angle measure m∠DAR:
m∠DAR is inscribed in a circle.
m∠DAR can be described as m∠DAR = m∠RBD
m∠DAR = 2 x 34°.
m∠DAR = 68°.
Therefore, m∠DAR = 68°.
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Evaluate the expression: 3d - 4 where d = 1.2
Answers
Answer:
-0.4
Step-by-step explanation:
3d-4 where d=1.2
substitute 1.2 for d and solve
3(1.2)-4
3.6-4= -0.4
-0.4 is the value of expression 3d-4 when d is 1.2
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 3d-4
Three times of d minus four
d is the variable in the expression and minus is the operator
We need to find the value of expression when d is 1.2
Substitute d =1.2 in the expression
3(1.2)-4
Three times of one point two minus four
3.6-4
-0.4
Hence, -0.4 is the value of expression 3d-4 when d is 1.2
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Phone numbers consist of a three-digit area code followed by seven digits. If the area code must have a 0 or1 for the second digit, and neither the area code nor the seven-digit number can start with 0 or 1, how many different phone numbers are possible?
Answers
Answer:
1.28 * 10^10
Step-by-step explanation:
Area Code: 8 * 2 * 10
7 digit number: 8 * 10 * 10 * 10 * 10 * 10 * 10
The total number of area codes is 160
8,000,000 * Area Codes
1.28*10^10
help plz 20 brainlist