The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6).
How to apply a rigid transformation in a point on a Cartesian plane
In geometry, a rigid transformation is a transformation applied onto a geometric object such that Euclidean distance in every point of it is conserved. Translations are examples of rigid transformations and are defined by this formula:
P'(x,y) = P(x,y) + T(x,y) (1)
Where:
P(x,y) - Original pointT(x,y) - Translation vectorP'(x,y) - Image pointIf we know that P(x,y) = (5, -6) and T(x,y) = (-4, 0), then the image point is:
P'(x,y) = (5, -6) + (-4, 0)
P'(x,y) = (1, -6)
The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6). [tex]\blacksquare[/tex]
Remark
Statement is incorrect and poorly formatted. Correct form is shown below:
What is the image point of (x, y) = (5, -6) after the transformation of translating horizontally the point -4 units to the y-axis?
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Which of the following is most likely the next step in the series? 06 O A. OB. ОС. OD.
Which choice shows the graph of the solution set for the inequality p - 2 > 6?
(A
"10
"5
0
5
10
B)
10
5
0
5
10
"10
5
HHHO+++
5 10
0
*10
-5
HHHO++++
0 5 10
Answer:
p > 8
Step-by-step explanation:
p - 2 > 6
Add 2 to each side
p > 8
Pls help thanks to who ever does and please do NOT put links
Answer:
C
Step-by-step explanation:
Remark
The way to solve the problem is to figure out how many cubic feet would be present if the window was not there and then calculate the volume of the window and subtract it. That is the general method used to obtain the answer to the question you have asked.
Volume Original Shape
Each side of the figure is one side of a square.
So the volume of the square face is 6 by 6 or 6*6 = 36 (no window)
The window is 2*2 which is 4.
The volume of the original shape is 36 - 4 = 32
Volume new shape
Each side of the figure is 12 by 12 = 144 With no window
The size of the window is 4 by 4 = 16 With the window (Subtract)
The size of the modified figure is 128
Answer and discussion
The question is a bit ambiguous. I think the question means that the wall has gone from 32 to 128 cubic feet. So you need Subtract to find the difference..
Answer: 128 - 32 = 96 which is C.
Solve: 3x - 3= x +5
please can someone solve this I will give brainiest
3x - 3= x + 5
=> 3x - x = 5 + 3
=> 2x = 8
=> x = 8/2
=> x = 4
Answer:
4
Step-by-step explanation:
3x - 3 = x+5
=> 3x = x+5+3 ( transposing method)
=> 3x-x = 5+3
=> 2x = 8
=> x = 8/2
=> x = 4
What is the value of x in the figure at the right?
Answer:
x=11
Step-by-step explanation:
It seems that the two angles are supplementary. Soo they add up to 180
Thus,
15+15x=180
Solve for x...
15x=165
x=11
Hope this helps!!!
A small theater had 6 rows of 24 chairs each. Workers just removed 7 of these chairs. How many chairs are left? chairs
Answer:
137 chairs
Step-by-step explanation:
6*24=144.
144-7=137.
please mark as brainliest.
What is the area of this figure?
Answer:
74km
Step-by-step explanation:
7 + 7 = 14
15 + 12 = 27
5 + 8 = 13
9 + 11 = 20
14 + 27 = 41
41 + 13 = 54
54 + 20 = 74
Muriel is considering leasing a car, and she is even thinking about buying it after the lease is up. She's trying to make sense of the terms of the lease before she makes her decision, but she's having a little trouble figuring it all out. The terms of the lease are as follows.
Terms:
Length of lease: 32 months
MSRP of the car: $26,260
Purchase value of the car after lease: $14,330
Down payment: $1270
Security deposit: $605
Acquisition fee: $765
Lease factor: 0.00073
Provide Muriel with some assistance by answering the following questions. 5 points: Part I - 1 point; Part II - 1 point; Part III - 1 point; Part IV - 1 point; Part V - 1 point)
What is the amount of the cash due at signing?
What would be Muriel's monthly payment? What is the total amount of money that Muriel would spend on monthly payments? What is the total cost of leasing the car, assuming that Muriel does not get the security deposit back?
What is the total price of the car if Muriel buys it after leasing, assuming that she does not get the security deposit back
The amount of cash due based on the terms of the lease that Muriel will pay is $2640.
How to calculate the cash due?The amount of cash due is calculated thus:
= Security deposit + Acquisition fee + Down payment
= $605 + $1270 + $765
= $2640
The monthly lease payment will be:
= Depreciation + Interest
= $133 + $28.7
= $161.70
Depreciation was calculated as:
= ($24990 - $14330) / 32 = $133
Interest was calculated as:
= Capitalized cost + Residual value × Money factor
= ($24990 + $14330) × 0.00073
= $28.70
Learn more about cash on:
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Lines a and b are parallel.
what is the value of x?
A) 15
B) 16
C) 56
D) 64
Answer:
56
Step-by-step explanation:
I need help with this please extra points for the help.
Answer:
1/3
explanation:
there are total 6 colour boxes.among which 2 are redso probability:
2/61/3[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Number of Favorable outcomes (red)= 2
Total outcomes = 6
So, the probability of getting red is :
[tex]\qquad \sf \dashrightarrow \: \dfrac{2}{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3} [/tex]
[tex]・ ．━━━━━━━†━━━━━━━━━．・[/tex]
Solve each system by substitution. Show all work.
y = -3x
y= x-4
since y = - 3x and y = x - 4
we have
- 3x = x - 4
4x = 4
x = 1
and then y = - 3 * 1 = - 3
(1 ; - 3)
Answer:
(1,-3)
Step-by-step explanation:
y = -3x
y= x-4
Substitute -3x for y in the second equation
-3x = x-4
Subtract x from each side
-3x-x = x-4-x
-4x = -4
Divide each side by -4
-4x/-4 = -4/-4
x=1
Now we can find y
y = x-4
y = 1-4
y= -3
(1,-3)
Calculate the difference between the average rates of change of Function B and Function A from x=2 to x=4.
Answer:
-4
Step-by-step explanation:
-8/2=-4
So you do -8-2/4-2, which is the average rate formula.
-
nd
According to the line of best fit, about how many words
will Jean have typed when she completes 60 minutes of
typing?
0 2,500
o 2,750
3,000
O
3,250
Answer:
C. 3000
Step-by-step explanation:
i took the quiz!
also 60 and 3000 line up
Answer:
C 3,000
Step-by-step explanation: It's right on Edge
what if the ice caps were melting even more rapidly and san francisco was losing about 2% of its land area per year as land and streets went under water. the city is only about 49 square miles in area
The exponential function that shows San Francisco area after x years is y = 49(0.98)ˣ
What is an exponential function?
An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let y represent the land area of San Francisco after x years. Hence:
The city is only about 49 square miles in area, a = 49. It is losing 2% yearly, hence b = 100% - 2% = 0.98
The equation becomes y = 49(0.98)ˣ
Find out more on exponential function at: https://brainly.com/question/12940982
PLEASE ANSWER QUICKLYY IK ITS TEDIOUS CUZ THERES A LOT BUT MATH EXPERTS, HELP
Step-by-step explanation:
i answered these 3 already.
Please help ASAP
I'll mark Brainliest
A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist starts with a sample of 30 bacteria cells. Write an equation that can be used to determine the number of cells after x hours
Answer:
divide fifty out of one hundred times thirty. so x equals to fifteen hours
A triangle has and area of 42 cm2. The height of the triangle is 14cm What is the base and length
Answer:
Step-by-step explanation:
AREA: 42 cm^2
h = 14 cm
area of a triangle formula:
[tex]\frac{height * base}{2} \\\frac{14 * base}{2} = 42[/tex]
(14)(base) = 42 * 2
(14)(base) /14 = 84 /14
base = 6 cm
Lena got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 19 cents per yard. If after that purchase there was $27.15 left on the card, how many yards if ribbon did lena buy?
Step-by-step explanation:
To find out how much she spent:
30 - 27.15 = 2.85
Change it to cents:
2.85 x 100 = 285 cents
Calculate how many yards of ribbon she bought:
285 / 19 = 15
Therefore, she bought 15 yard of ribbon.
Which expression is equivalent to 20c - 8d
Answer:
4(5c-2d)
Step-by-step explanation:
if you mean in factorization
Graph the inequality of x>15
Answer:
Hope this helps!
What is the distance between the points (8, 12) and (1, 3)? If necessary, round
your answer to two decimal places.
O A. 130 units
B. 11.40 units
C. 12.08 units
D. 146 units
Answer:
B
Step-by-step explanation:
(8,12)=(x1, y1)
(1,3)=(X2, y2)
distance=√(x2-x1)^2+(y2-y1)^2
=√(1-8)^2+(3-12)^2
=√(49+81)
√130
=11.40
63.625 rounded to the nearest tenth
Answer:
63.6
Step-by-step explanation:
63.625
63.6
Answer:
63.6
Step-by-step explanation:
The tenth's place is one after the decimal point, and since 2 is closer to zero than ten, the 6 stays the same, making the answer 63.6.
Hopefully this helps- let me know if you have any questions!
It’s kinda confusing?
What is the degree of 9x^3?
9x to the power of 3.
The largest exponent is the degree.
this only has one exponent so the degree would be 3
Which graph represents the function f(x) = - |x - 2| - 1?
Answer:
nsgs6
68÷9
02_3
73929
Step-by-step explanation:
8282×627=628373
Answer:
i hope this helps you!
Step-by-step explanation:
Please help me my teacher hasn't been helping me I really need your help
Answer:
550.5323531336038
Step-by-step explanation:
I have a hint: if you ever need help with triangle trigonometry questions go to carbside depot trigonometry calculator it is a literal life savor
Find the derivative of 30x² + 7x at x = 2.
Answer:
127
Step-by-step explanation:
Given :
30x² + 7xOn differentiating,
dy/dx = 2 * 30 * x²⁻¹ + 1 * 7 * x¹⁻¹dy/dx = 60x + 7At x = 2
60(2) + 7120 + 7127First differentiate
d/dx(x^n)=nx^n-1So
[tex]\\ \rm\Rrightarrow \dfrac{d}{dx}(30x^2+7x)[/tex]
[tex]\\ \rm\Rrightarrow 60x+7[/tex]
Put x=2
60(2)+7120+7127Please help I'm struggling so bad right now
Answer:
y = m x + b is the standard form of a straight line
m = (y2 - y1) / (x2 - x1) = (10 - (-8)) / (-3 - 0) = 18 / -3 = -6
When x = 0 y = b from the equation for a line
y = - 8
So our equation is
y = -6 x - 8
As a check let x = -2 then
y = (-6 * -2) - 8 = 12 - 8 = 4
Check on the graph to verify that this equation holds
The perimeter of a quarter circle is 10. 71 yards. What is the quarter circle's radius?
Use 3. 14 for
Answer:
r = 3 yds
Step-by-step explanation:
The perimeter of a quarter circle is 1/4 of a circumference of the circle AND two straight edges that are the length of the radius. see image.
The circumference is given and using 3.14 for pi, we'll then solve for r. see image.