use coordinate notation to write the rule that maps each preimage to its image. Then confirm that the transformation is not a rigid motion.Number 8
Answers
In geometry, transformation involves changing the position and/or size of a shape.
The coordinate notations are:
[tex](x,y) \to (\frac{1}{2}x,\frac{1}{2}y)[/tex]. [tex](x,y) \to (2x,y)[/tex].Both transformations are not rigid
[tex]7.\ \triangle ABC \to \triangle A'B'C'[/tex]
Using coordinates A and A', as a reference;
We have:
[tex]A = (6,6)[/tex]
[tex]A' = (3,3)[/tex]
Divide A' by A to get the scale ratio (k)
[tex]k = \frac{A'}{A}[/tex]
[tex]k = \frac{(3,3)}{(6,6)}[/tex]
Factorize
[tex]k = \frac{(3,3)}{2 \times (3,3)}[/tex]
[tex]k = \frac{1}{2}[/tex]
Hence, the coordinate notation is:
[tex](x,y) \to (\frac{1}{2}x,\frac{1}{2}y)[/tex]
Calculate distance AB and A'B' using:
[tex]d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2}[/tex]
So, we have:
[tex]AB = \sqrt{(6 - 4)^2 +(6 - -2)^2} = \sqrt{68}[/tex]
[tex]A'B' = \sqrt{(3 - 2)^2 +(3 - -1)^2} = \sqrt{17}[/tex]
Because
[tex]AB \ne A'B'[/tex]
We've confirmed that the transformation is not rigid
[tex]8.\ \triangle FGH \to \triangle F'G'H'[/tex]
Using coordinates F and F';
We have:
[tex]F = (-1,1)[/tex]
[tex]F' = (-2,1)[/tex]
Divide the x-coordinate of F' by F to get the scale ratio (k) because the y-coordinates of the pre-image and the image are the same
[tex]k = \frac{F'}{F}[/tex]
[tex]k = \frac{-2}{-1}[/tex]
[tex]k = 2[/tex]
Hence, the coordinate notation is:
[tex](x,y) \to (2x,y)[/tex]
Calculate distance FG and F'G' using:
[tex]d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2}[/tex]
So, we have:
[tex]FG = \sqrt{(-1 - 1)^2 +(1 - -1)^2} = \sqrt{8}[/tex]
[tex]F'G' = \sqrt{(-2 - 2)^2 +(1 - -1)^2} = \sqrt{20}[/tex]
Because
[tex]FG \ne F'G'[/tex]
We've confirmed that the transformation is not rigid
Read more about transformations at:
https://brainly.com/question/11709244
Related Questions
Solve the equation for the specified variable.
S=CB-8. for C
C=
(Answer quickly)
Answers
Answer:
[tex]s = cB- 8 \\ cB = s + 8 \\ \\ c = \frac{s + 8}{B} \\ \\ c = \frac{s}{B} + \frac{8}{B} [/tex]
I hope I helped you^_^
10 fractions equivalent to 1/2
Answers
Answer:
2/4, 3/6, 4/8, 6/12, 7/14, 8/16, 9/18, 10/20, 11/22, 12/24
Step-by-step explanation:
Multiply the numerator and denominator by the same factor. And use 10 different factors.
Ex. [tex]\frac{1}{2} *\frac{2}{2}=\frac{2}{4}[/tex]
Use the numbers 0 - 9 in the blanks to make the equations true
Answers
Answer:
what blanks
Step-by-step explanation:
what is a equivalent ratio of 16:18
Answers
equivalent ratio of 16:18 is 8:9
A softball team has a budget of $200 for visors they athletic Director pays $90 for 12 visors is there any money in the budget to purchase 15 more sunvisors
Answers
Answer:
No. There is not enough money in the budget to buy 15 more sunvisors. The softball team's budget is short by $2.50.
Step-by-step explanation:
If the director pays $90 for 12 visors, then we need to calculate the price of each visor to find out if the director can buy 15 more.
[tex]90/12= 7.50[/tex]
90 divided by 12 = $7.50 per sunvisor.
The budget is $200, so now we need to multiply 15 by 7.50.
[tex]15*7.50=112.50[/tex]
Then you add the product of that to the $90 spent previously.
[tex]90+112.50=202.50[/tex]
And the answer is No. There is not enough money in the budget to buy 15 more sunvisors. The softball team's budget is short by $2.50.
1.- 5/ 4.2=?
2.- 5/ 6.2=?
3.- .9/.18=?
4.- .52/ 3.5038=?
5.- .23/ 1.8078=?
6.- .15/ .5655=?
PLEASE PAY CLOSE ATTENTION TO THE DECIMALS AND EXPLAIN THEM TO ME PLEASE I BEG CAN YALL SOLVE THEM ALL AND LEAVE A DESCRIPTIVE EXPLANATION I BEG PLEASE? THANK YOUU<<<<3333
Answers
Step-by-step explanation:
-1.19047619-0.806451613-5-0.148410297-0.127226463-0.265251989#1
[tex]\\ \sf\longmapsto \dfrac{5}{4.2}=1.19=1.2[/tex]
#2
[tex]\\ \sf\longmapsto \dfrac{5}{6.2}=0.8[/tex]
#3
[tex]\\ \sf\longmapsto \dfrac{9}{18}=\dfrac{1}{2}=0.5[/tex]
#4
[tex]\\ \sf\longmapsto \dfrac{52}{3.5038}=1.48=1.5[/tex]
#5
[tex]\\ \sf\longmapsto \dfrac{23}{1.8078}=0.127=0.13[/tex]
#6
[tex]\\ \sf\longmapsto \dfrac{15}{0.5655}=0.26=0.3[/tex]
Need helpppppppppopo
Answers
Answer:
below
Step-by-step explanation:
*Not sure how your teacher wants you to round this, but here is how I do it
All you need to do to find the decimal form of a fraction is to take the numerator and divide it by the denominator :
2 / 3 = 0.6666666.... and keeps going
= 0.67
To convert this decimal to percentage just multiply it by 100 :
0.67 x 100 = 67 %
Hope this helps! Best of luck <3
Write the given expression without the absolute value symbol.
|x − y| − |y − x|
Answers
Answer:
- x - 2y
Step-by-step explanation:
x - y - y - x
- x - 2y
20+8
100+75
49+28
32+24
DRAG & DROP THE ANSWER
8(4+3)
25(3+4)
7(7+4)
4(5+2)
Answers
Answer:
give brainliest please I need it to level up
Step-by-step explanation:
20 + 8
4(5 + 2)
100 + 75
25(4 + 3)
49 + 28
7(7 + 4)
32 + 24
8(4 + 3)
Answer:
Ans; 8 +20 —> 4(2+5)
Ans; 75+100 —> 25(4+3)
Ans; 28+49 —> 7(4+7)
Ans; 24+32 —> 8(3+4)
I hope I helped you^_^
IF 4 bottles of juice cost $7, how much would 9 bottles cost
I am giving 40 points!
Help please!
Answers
Answer:
I'm pretty sure it would be $13.50
Answer:
$15.75
Step-by-step explanation:
7 divded by 4 = 1.75
Simply take 1.75 and multply it by 9, giving you 15.75
$15.75
Jimmy thought he had purchased 7
folders, but he had only purchased 6.
What was his percent error?
Answers
which expression is equivalent to the given expression?
(4m2n)2
2m5n
A 8m9n3
B 4m9n3
C 8m-1n
D 4m-1n
Answers
Answer:
C. 8m`¹.n
Step-by-step explanation:
((4m²n)²) /(2m^5.n)
= (16m⁴n²)/(2m^5.n)
= 8m`¹n
is 6.224398 rational or irrational?
Answers
Answer:
Technically, it's rational because it is definite and has an end
Step-by-step explanation:
[2+(12×3÷9)-6]÷4
with explanation
Answers
Answer:
PEMDAS:
ZERO 0
Left to right "p" parenthesis, "e" exponents,
"md" multiplication OR division , "as" addition or subtraction
Step-by-step explanation:
[2+(12×3÷9)-6]÷4
[2+(36÷9)-6]÷4
[2+(4)-6]÷4
[6-6]÷4
[0]÷4
0
Answer:
Ans: 0
Step-by-step explanation:
[2+(12×3÷9)-6]÷4
= [2+(36÷9)-6]÷4
= [2+4-6]÷4
= [6-6]÷4
= 0÷4
= 0
Somebody please help meee and get the correct answer cause if you give me the correct answer you get brainlist
Answer ASAP
If you know this
Answers
Answer:
x2 because it is not an equation
Step-by-step explanation:
Complete the arithmetic sequence with its missing terms, then state the rate of change for the sequence.
92, _, _, _, 80
Answers
Answer:
89,86,83
Step-by-step explanation:
92-80=12
12÷4=3
80+3=83
83+3=86
86+3=89
The complete arithmetic sequence will be: 92, 89, 86, 83, and 80.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as;
aₙ = a₁ + (n - 1)d
Given; The first term (a₁) is 92 and the fifth term (a₅) is 80.
Then the common difference between the terms will be given as;
a₅ = a₁ + (5 - 1)d
80 = 92 + 4d
-12 = 4d
d = -3
Then the missing terms will be
92, 92 - 3, 92 - 6, 92 - 9, and 92 - 12
92, 89, 86, 83, and 80
Hence, the complete arithmetic sequence will be: 92, 89, 86, 83, and 80.
More about the arithmetic sequence link given below;
brainly.com/question/12373434
#SPJ2
what does answer on her sceen mean? 9e+10
Answers
Answer:
19e
Step-by-step explanation:
\lim_(x->0)(cos2x)^((3)/(x^(2)))
Answers
Answer:
ffffgggghhhuukufgnjsdhn
Answer:
∞
Step-by-step explanation:
since cos(0) = 1, you have 1/0
What is the Gcf of 10 and 6?
Answers
The GCF of 10 and 6 is 2. May this will help you.
Solve 2x + 4 = 12.
O A. x = -4 and x = -8
O B. x = -4 and x = 8
O C. x = 4 and x = -8
O D. x = 4 and x = -4
Answers
If ; | 2x+4|=12 —> x = 4 , x = – 8 —> The choose C.
If ; | 2x | +4=12 —> x =4 , x = – 4 —> The choose D.
I hope I helped you^_^
12-4= 8 and you will be left with 2x & 8 you divide both sides by 2 the 2 from 2x will cancel leaving you with x and 8 divided by 2 gives you 4
then if you say 4-12 that will give you -8 and you left with 2x & -8 you divide both sides by 2 leaving you with -4
write the name of the period that has the digits 145
Answers
Answer:
it is the thousands period.
Step-by-step exitplanation:
Will three sides of any length create a triangle?
Answers
-n - 6n + 4 = 53
How do I solve this
Answers
Answer:
[tex] - n - 6n + 4 = 53 \\ \\ - n - 6n = 7n \\ \\ 7n = 53 - 4 \\ \\ \ \\ 7div 7n = 49 \div 7 \\ \\ n = 7[/tex]
Use the distributive property to rewrite this expression.
2(a +3)
Answers
Answer:
2a+6
Step-by-step explanation:
you distribute the 2 to the variable A and number 3. since a variable and a constant cant be combined, your left with 2a+3
Which equation corresponds to the following word problem?
Cory spends $6.50 on snacks at a gas station. He also buys gas, which costs $2.78 per gallon. If he spends a total of $24.00 at the gas station, how many
gallons of gas did he buy? Let g equal the number of gallons of gas.
(1 point)
O 6.509 +2.78 = 24.00
O 2.789 -6.50 = 24.00
O 6.50g - 2.78 = 24.00
2.789 +6.50 = 24.00
Answers
Answer:
Cory bought 6.30 gallons of gas at the gas station.
Step-by-step explanation:
total amount = cost of snacks + amount spent on gas
[tex]$\$ 24.00=\$ 6.50+\$ 2.78 \mathrm{~g}$[/tex]
[tex]$\$ 2.78 \mathrm{~g}=\$ 24.00-\$ 6.50$[/tex]
[tex]$\$ 2.78 \mathrm{~g}=\$ 17.50$[/tex]
[tex]$g=\frac{\$ 17.50}{\$ 2.78}$[/tex]
[tex]$g=6.30$[/tex]
Learn more about gallon refer:
https://brainly.com/question/18591352Jdndndnd d dndndnd d s w w wbeneneheh
Answers
Answer:
17
Step-by-step explanation:
If L and M are parallel then the angles will add up to 180 (a straight line), so:
6x+8+4x+2=180
10x+10=180
10x=170
x=17
Find the distance between -15 and 12 on a number line.
Answers
Answer:
27
Step-by-step explanation:
|x-15|=12
Help
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Help help
Answers
Someone answer this please
Answers
Answer:
[tex] →\frac{8xy}{24y} = \frac{8}{24} . \frac{xy}{y} = \frac{1}{3}. x = \boxed{ \frac{x}{3} }✓ \\ [/tex]
x/3 is the right answer.If AB= x+4, BC=2x-10, and AC=2x+1, then find the value for x
Answers
Answer:
[tex] \boxed{x = 7} [/tex]
Step-by-step explanation:
Given:
AB = x + 4BC = 2x – 10AC = 2x + 1We can illustrate this relationship as:
(2x + 1)
___↑___
| |
A — B — C
|____|___|
↓ ↓
(x + 4) (2x – 10)
_______________________________
When you are given an algebraic expression for the length of a segment, you can solve for that value by knowing that the sum of two segments AB + BC = AC.
Thus:
(x + 4) + (2x – 10) = (2x + 1)
[Regroup terms]
(x + 2x) + (4 – 10) = (2x + 1)
[Simplify]
(3x – 6) = (2x + 1)
[subtract 2x from both sides to isolate the variable]
(3x – 6) – 2x = (2x + 1) – 2x
[Regroup terms]
(3x – 2x) – 6 = (2x – 2x) + 1
x – 6 = 1
[Add 6 to both sides to isolate the constant]
x – 6 + 6 = 1 + 6
[Simplify]
x = 7
