Answers
Step-by-step explanation:
Correct option is A)
Let Q(h,k) be the image of P(3,3) w.r.t the line mirror x+y=0
a
h−p
=
b
k−q
=
a
2
+b
2
−2×(ap+bq+c)
1
h−3
=
1
k−3
=
2
−2(6)
⇒h−3=k−3=−6
⇒h=−3,k=−3
So, the image is Q(−3,−3).
In the second transformation, point Q is translated horizontally 3 units to the left and vertically 3 units up.
So, the coordinates of new image is (−3−3,−3+3) i.e. (−6,0)
In the third transformation, point (−6,0) is reflected w.r.t the line y=x
So, the final image is (0,−6).
Was this answer helpful?
Related Questions
Tim is playing a game. His score in round 1 is 1.7 points, in round 2 is 5.1 points, in round 3 is 15.3 points, and it continues to increase in the same way. Is his score a geometric sequence? If so, write a recursive definition for the sequence.
Answers
The recursive definition for the geometric sequence is given as follows:
[tex]a_n = 3a_{n-1}, a_1 = 1.7[/tex]
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
The recursive definition of a geometric sequence is given by:
[tex]a_n = qa_{n-1}[/tex]
In this problem, we have that the first term and the common ratio are given, respectively, by:
[tex]a_1 = 1.7, q = \frac{15.3}{5.1} = \frac{5.1}{1.7} = 3[/tex].
Hence the recursive definition is given by:
[tex]a_n = 3a_{n-1}, a_1 = 1.7[/tex]
More can be learned about geometric sequences at https://brainly.com/question/11847927
#SPJ1
Determine the equation of the circle graphed below.
Answers
Answer:
x^2 + y^2 = 49
Step-by-step explanation:
The equation of a circle is given by
( x-h) ^2 + (y-k) ^2 = r^2
(h,k) is the center of the circle and r is the radius
The circle is centered and (0,0) and the radius is 7
( x-0) ^2 + (y-0) ^2 = 7^2
x^2 + y^2 = 49
Only help if you know please
Answers
The sum of slip is 9 small coffee order, then sum is 11 medium coffee order, and when the sum is 6 or 14 large coffee is ordered.
What is arrangement?Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.
A hat contains 4 slips of paper labeled as 3,3,6 and 8. One slip is selected randomly and without replacing, another one is selected. The number on the slips are added together.
The probability of getting a sum of 6 (3+3) is,
[tex]P_(3,3)=\dfrac{1}{4}\times\dfrac{1}{3}+\dfrac{1}{3}\times\dfrac{1}{4}\\P_(3,3)=\dfrac{1}{12}+\dfrac{1}{12}\\P_(3,3)=\dfrac{2}{12}\\P_(3,3)=\dfrac{1}{6}[/tex]
The probability of getting the sum of 9 (6+3) or (3+6) is,
[tex]P_(3,6)=\dfrac{1}{4}\times\dfrac{2}{3}+\dfrac{2}{4}\times\dfrac{1}{3}\\P_(3,6)=\dfrac{2}{12}+\dfrac{2}{12}\\P_(3,6)=\dfrac{4}{12}\\P_(3,6)=\dfrac{1}{3}[/tex]
The probability of getting the sum of 9 (6+3) or (3+6) is,
[tex]P_(3,8)=\dfrac{1}{4}\times\dfrac{2}{3}+\dfrac{2}{4}\times\dfrac{1}{3}\\P_(3,8)=\dfrac{2}{12}+\dfrac{2}{12}\\P_(3,8)=\dfrac{4}{12}\\P_(3,8)=\dfrac{1}{3}[/tex]
The probability of getting a sum of 6 (3+3) is,
[tex]P_(6,8)=\dfrac{1}{4}\times\dfrac{1}{3}+\dfrac{1}{3}\times\dfrac{1}{4}\\P_(6,8)=\dfrac{1}{12}+\dfrac{1}{12}\\P_(6,8)=\dfrac{2}{12}\\P_(6,8)=\dfrac{1}{6}[/tex]
There are three size of coffee to order:
Small sizeMedium sizeLarge SizeThus, when the sum of slip is 9 small coffee order, if sum is 11 medium coffee order, and when the sum is 6 or 14 large coffee is ordered.
Learn more about the arrangement here;
https://brainly.com/question/6032811
#SPJ1
Find all numbers whose absolute value is 2.
If there is more than one, separate them with commas.
If there are no such numbers, say none.
Answers
A piece of paper is 10 1 2inches long. If you put 3 2inch sticky notes end to end across the length of the paper, how many sticky notes will fit?
Answers
10 1/2 by 2.
5. Presidential elections are held every
4 years. There were Presidential
elections in 1840, 1844, 1848, and 1852.
When were the next three Presidential
elections? Describe a feature of
the pattern.
Answers
Answer:
1856, 1860, 1864
Step-by-step explanation:
add four to the previous year to get the year of the next elections
Answer:
1856, 1860, 1864
Step-by-step explanation: Pretty sure this is correct.
sally picks seashells by the seashore.she lost 17 of them on her way home.with the remaining seashells,she planned to fill 5 jars with the same number of seashells in each.how many seashells did she originally pick?
Answers
Answer:
5
Step-by-step explanation:
Jonah and Tito were practicing for the upcoming track meet. Jonah finished 5 laps in 9 minutes, while Tito finished 7 laps in 11.2 minutes, each running at a steady pace. Who is running at a faster rate?
Answers
Since the unit rate of Tito is greater than that of Jonah, hence Tito is running at a faster rate
Unit ratesThe ratio of distance covered by an object to tme taken is unit rate.
Calculate the unit rate for both Jonah and Tito
For Jonah
Unit rate = 5laps/9minutes
Unit rate = 0.56 laps per minute
For Tito
Unit rate = 7laps/11.2minutes
Unit rate = 0.625laps per minute
Since the unit rate of Tito is greater than that of Jonah, hence Tito is running at a faster rate
Learn more on rate here: https://brainly.com/question/24304697
#SPJ1
Help!!!
For babysitting nicole charges a flat fee pf $20, plus $15 per hour. How much money will she make if she baby-sits 8 hours?
Answers
Answer:
[tex]\huge\boxed{\bf\: 140 \: dollars}[/tex]
Step-by-step explanation:
Flat fee = $20
Dollars charged per hour = $15
Dollars charged for 8 hours = ?
Dollars charged for 8 hours
= Dollars charged per hour × 8
= 15 × 8
= $120
Money made in total by Nicole
= Dollars charged for 8 hours + Flat fee
= $120 + $20
= $140
[tex]\rule{150pt}{2pt}[/tex]
3. Look at the system below. What value could you use for "m" to make the lines
perpendicular?
1
y= +8
y = m2 - 6
Answers
Answer:
what would make the lines perpendicular is using the first y as a another oart of the end of the second why
Step-by-step explanation:
y= = m2-6+8
What is the perimeter of the triangle? (30 Points)
Answers
Answer:
D. 8x - 3
Step-by-step explanation:
Simply add all the sides up - 2x+3x+3x - 1+1+1 = 8x - 3
Question 14(Multiple Choice Worth 1 points)
(03.03 MC)
The map shows the location of a mall, library, and school in a city:
Coordinate grid shown from negative 16 to positive 16 on x axis at intervals of 2, and negative 10 to positive 10 on y axis at intervals of 2. A triangle is shown with vertices labeled Library, Mall, and School. Library is the ordered pair negative 15, 6, Mall is the ordered pair 15, 6, and School is the ordered pair 15 and negative 10.
Mike traveled from the school to the mall and then from the mall to the library. Henry traveled from the school to the library. How many more miles did Mike travel than Henry?
10 miles
12 miles
34 miles
46 miles
Answers
Answer: mike traveled 34 miles
10. What's the volume of a block of ice measuring 3 meters long, 1.5 meters wide, and 2 meters high?
© A. 12 cu. m
O B. 900 cu. m
0 C. 6cu. m
• D. 9 cu. m
Answers
Answer:
D.9 cu.m
Step-by-step explanation:
measurements varies,so it is a cuboid
volume of cuboid= length×breadth×height
=3×1.5×2
=9 cu.m
Assessment started: undefined. Item 1 A rectangle is 12 feet long and 34 feet wide. What is the area of the rectangle? Enter your answer as a fraction in simplest form by filling in the boxes
Answers
Area:-
Length×Width12(34)408ft²Answer:
408 ft²
Step-by-step explanation:
Given that,
→ Length (l) = 12 ft
→ Breadth (b) = 34 ft
Formula we use,
→ Area of rectangle = l × b
Then the area will be,
→ l × b
→ 12 × 34
→ 408 ft²
Hence, the area is 408 ft².
HELPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
Current price is $3,000
Price 10 years from today is $3,840
Step-by-step explanation:
[tex]3000( {1.025}^{10} ) = 3840.25[/tex]
The algebraic expression [tex]9p - 10q + 3 - 9p[/tex] is a?
Just tell me what kind of expression it is. Extra points if you answer it.
Answers
Answer:
Binomial
Step-by-step explanation:
Simplify the expression :
9p - 10q + 3 - 9p3 - 10qThere are 2 terms.
Hence, it is a binomial
Answer:
Linear expression
Step-by-step explanation:
First, simplify the expression.
Given expression: [tex]9p-10q+3-9p[/tex]
Collect like terms: [tex]9p-9p-10q+3[/tex]
Combine like terms: [tex]-10q+3[/tex]
As each term of the expression is either a numeric constant or a variable with no exponent, this is a linear expression.
It can also be called a binomial expression since the expression only contains two terms (the constant and the variable).
A gray paint is made using 3 oz of white and 5 oz of black. How many Ounces of white paint are needed if 14 oz of black paint is used? help asap please
Answers
Answer:
9 oz I think not entirely sure
What is the congruence correspondence, if any, that will prove the given triangles congruent?
Answers
Answer: None
Step-by-step explanation:
There are no pairs of congruent sides, so the triangles cannot be proven congruent.
A helicopter flies at a speed of 160 miles per hour. It takes the helicopter h hours to reach its destination.
Enter an equation that can be used to find the number of hours it will take the helicopter to reach a destinationthat is 1050 miles away.
Answers
X=6.56 hours
PLEASE HELP PLEASE I WILL GIVE BRIANLIEST
Answers
Answer:
2:3
Explanation:
We can simplify the ratio 600 : 900 by dividing both terms by the greatest common factor (GCF).
The GCF of 600 and 900 is 300.
Divide both terms by 300.
600 ÷ 300 = 2
900 ÷ 300 = 3
Therefore:
600 : 900 = 2 : 3
Answer:
2:3
Step-by-step explanation:
hope it helps :>
(08.02)
Consider the following system:
y = -x − 2
y = 2x + 10
Graph the equations in the system to determine the point where the lines intersect? (4 points)
(−4, 2)
(4, 2)
(−2, 4)
(2, 4)
Answers
Answer:
(-4,2)
Step-by-step explanation:
Kindly check the attatched image to see the system graphed
The two equations intersect at (-4,2) so the solution is (-4,2)
NEED HELP ASAP!!!!
Examine the information you have researched. Decide whether you recommend this country for your family’s new home. Write down the reasons you do or do not recommend it.
I CHOSE JAMAICA, AND I SAID
The standard of living of Jamaica, in the Caribbean, is so different compared to that in the United States. Jamaica is a poor, underdeveloped country that has so many economic and politic problems. The public infrastructure is limited, the level of education is not as advanced as in the US, and the creation of jobs is short. Oftentimes, Jamaican people have to migrate to other countries in order to find better living conditions
SO GO OFF OF THAT
Answers
Answer:
NO
Step-by-step explanation:
Reasons:
1) It is a poor country
2) many economic and politic problems
3) public infracture is limited
4) education is not as advanced
5) creations of jobs is short
How to multiply 10x 3 1/2
Answers
Answer:
35
Step-by-step explanation:
put 3 1/2 as a decimal = 3.5, now move the dot one place to the right to times by ten = 35.
40=3x+x^2
How do I find the answer to this
Answers
Answer:
x = -8, x = 5
Step-by-step explanation:
This can be solved using Factorization method:
[tex] 40 = 3x + {x}^{2} \\ \\ \implies \: {x}^{2} + 3x - 40 = 0 \\ \\ \implies \: {x}^{2} + 8x - 5x- 40 = 0 \\ \\ \implies \: x({x} + 8) - 5(x + 8) = 0 \\ \\ \implies \: ({x} + 8) (x - 5) = 0 \\ \\ \implies \: ({x} + 8) = 0 \: \: or \: \: (x - 5) = 0 \\ \\ \implies \: x = - 8 \: \: or \: \: x = 5 \\ \\ x = - 8, \: \: 5[/tex]
Average Allowance Amount $20, $15, $10, $5 with frequency ll, 5, 10, 3. What is the range of the allowance amounts?
Answers
Answer:
$15
Step-by-step explanation:
Range = Highest number- Lowest number
Range=20-5
=$15
Please 100 points and brainliest if u do them all plsssssss I rlly need help asap
Answers
Answer:
Question 1
F
T
T
The volume of figure A can be found by multiplying (5 · 7)(2).
Question 2
T
T
F
The total volume of the figure is 442 mm³
Question 3
T
F
T
The volume of the triangular prism is 108 in³
Step-by-step explanation:
Formula used
Volume of a prism = base area × height
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Volume of a cube = s³ (where s is the side length)
---------------------------------------------------------------------------------------------------
Question 1⇒ Volume of Figure A = (5 · 7)(2)
= 70 cm³
⇒ Volume of Figure B = (13 · 7)(2)
= 182 cm³
⇒ Total Volume = Volume of Figure A + Volume of Figure B
= 70 + 182
= 252 cm³
The first statement is false.
Rewritten statement:
The volume of figure A can be found by multiplying (5 · 7)(2).
---------------------------------------------------------------------------------------------------
Question 2⇒ Volume of rectangular prism = (15 · 15)(2)
= 450 mm³
⇒ Volume of central cube = 2³
= (2 · 2 · 2)
= 8 mm³
⇒ Total Volume = Volume of rectangular prism - Volume of cube
= 450 - 8
= 442 mm³
The third statement is false.
Rewritten statement:
The total volume of the figure is 442 mm³
---------------------------------------------------------------------------------------------------
Question 3⇒ Volume of rectangular prism = (12 · 3)(8)
= 288 in³
⇒ Volume of triangular prism = (1/2 · 12 · 6)(3)
= 108 in³
⇒ Total Volume = Volume of rectangular prism + Volume of triangular prism
= 288 + 108
= 396 in³
The second statement is false.
Rewritten statement:
The volume of the triangular prism is 108 in³
a bag of suger costs $2.12 & contains 145 tablespoons of suger. what is the cost per tablespoon?
Answers
Answer:
0.01462069 cost per tablespoon
Step-by-step explanation:
a bag of sugar costs $2.12
145 tablespoons of sugar
145:2.12 is the ratio
1:x where x represents per tablespoon cost
2.12 / 145 = 0.01462069 which rounds up to 0.02
Check if it correct:
145 x 0.01462069 = 2.12
In the figure below, ~ .
Answers
At the beginning of each month, $200 is deposited into a retirement fund. The fund earns 6% annual interest, compounded monthly, and paid into the account at the end of the month. How much is in the account if deposits are made for 10 years?
Answers
Answer:
this one hard
Step-by-step explanation:
A certain population has been shown to have a 2% annual growth rate. The
initial population is 75,000. What will the population be after 10 years
Answers
Answer:
91425
Step-by-step explanation:
0.02 is annual growth
10 is for the period of time
75000 * ( 1 + 0.02) ^ 10 ~ 91425