the vector to fully describe the single transformation which takes triangle A to triangle
Answers
Answer:
The translation vector from A to B is (-4,6)
Step-by-step explanation:
A translation vector is a type of transformation that moves a figure in the coordinate plane from one location to another.
All the vertices of the figure are translated by the same vector, and the resulting figure is shifted horizontally and vertically.
The vertices of triangle A are:
(3,-1) (1,-4) (3,-4)
The corresponding vertices of triangle B are:
(-1,5) (-3,2) (-1,2)
Subtracting the vertices of B from vertices of A:
(-4,6) (-4,6) (-4,6)
Note they are result in the same translation vector, thus:
The translation vector from A to B is (-4,6)
Related Questions
Find the recursive rule, explicit rule, and f(20)
Answers
Answer:
Recursive:
[tex]f(1)=4, f(n)=f(n-1)-4[/tex]
Explicit:
[tex]f(n)=4-4(n-1)[/tex]
And the 20th term f(20) is -72.
Step-by-step explanation:
We have the sequence:
4, 0, -4, -8...
Let’s find the recursive and explicit rule for the sequence.
Recursive Rule:
Let’s determine the factor by which the sequence is decreasing by. We see that each subsequent term is 4 less than the previous term. In other words, our common difference is -4.
So, this is a arithmetic sequence.
The standard format for an recursive rule for an arithmetic sequence is:
[tex]f(1)=a , f(n)=f(n-1)+(d)[/tex]
Where a is the initial term and d is our common difference.
From our sequence, we know that our initial term a is 4.
We also determined that our common difference is -4.
Substitute. Hence, our recursive rule is:
[tex]f(1)=4, f(n)=f(n-1)-4[/tex]
Explicit Rule:
The standard format for an explicit rule for an arithmetic sequence is:
[tex]f(n)=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference. So, again, let’s substitute 4 for a and -4 for d. Hence, our explicit formula is:
[tex]f(n)=4-4(n-1)[/tex]
To find f(20), we can use the explicit formula. It is possible to use the recursive formula, but it gets tedious. Therefore, we will substitute 20 for n for our explicit formula:
[tex]f(20)=4-4(20-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(20)&=4-4(19) \\ f(20)&=4-76 \\ f(20)&=-72 \end{aligned}[/tex]
Hence, our 20th term is -72.
somebody please help me what is 15 / 3 ×7/20
Answers
Answer:
1.75
Step-by-step explanation:
By Order of Operations, You read it left to right since Multiplication and Division are of the same importance. You would start with 15/3, which is 5.
Then your equation would be: 5*7/20.
Again, you would just read it left to right, 5*7=35
Then divide by 20, which is 1.75.
What is the Mean of 2,10,18,14,6
Answers
Answer:
10
Step-by-step explanation:
2+10+18+14+6= 50
then divide by 5 to get mean = 10
Answer:
the answer is 10
Step-by-step explanation:
if you add up all the numbers you get 50
and if you divide it by the number of results, in this case 5, you get 10!
It will take 20 points to make the playoffs, the Hockey Team coach told the players. "We get 2 points for a win and 1 point for a tie." Let be the number of wins and be the number of ties. Write an equation to describe the values of and that will let them make the playoffs.
Answers
Answer:
[tex]2x+y\geq 20[/tex]
Step-by-step explanation:
Given that total points required to make the playoffs = 20 points
As there is 2 points for a win,
so points earned for x win = 2x
Similarly, as there is 1 point for a tie.
so points earned for y ties = 1[tex]\times[/tex] y= y
Total points earned for x win and y ties = 2x+y
As the team makes the playoff so the total points of the team must be equal to or greater than 20 points (i.e the minimum points to make the playoff), so
[tex]2x+y\geq 20[/tex]
Hence, the required equation is [tex]2x+y\geq 20[/tex].
help me plz asap now I just need answer question in pic
Answers
I was just about to ask this question
Step-by-step explanation:
Im on this question rn, i need help to :(
Answer: just guess :)
Step-by-step explanation:
Thomas used a can to feel his new fish tank with water. The fish tank holds 11 gallons of water. His can hold 1/5 of a gallon. How many times will Thomas have to feel his canned to put 11 gallons of water in a fish tank?
Answers
Answer:
55
Step-by-step explanation:
If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.
What is the larger number: 5 or the Square Root of 26. Why?
Answers
Step-by-step explanation:
square root of 26
becoz √26=5.099
=5.1
Answer:
square root of 26
Step-by-step explanation:
this is because when 26 is squared it equals 5.09902, so 5.1 is greater than 5
pls ayuda es para hoy mismo y es un examen
Answers
Answer:
-4
6x+29=5
6x=5-29
6x=-24
x=-4
Answer
es-4
Step-by-step explanation:
What is the image of (-4,-7)(−4,−7) after a reflection over the x-axis?
Answers
Answer:
(-4,7)
Step-by-step explanation:
(-4,-7) is in the bottom left corner on a graph. The x axis goes horizontal so if it reflects it would be at (-4,7)
4 ) Here is an explanation that the angle sum of triangle ABC is 180º.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°
Answers
Answer:
Thank you and please rate me as brainliest as it will help me to level up
HELP IM ON GRADPOINT I AM ON A QUIZ IF I CAN ALSO GET THE REST OF THE ANSWERS I WILL MARK BRAINLYEST
Answers
Answer:
top is independent, bottom is dependent
Step-by-step explanation:
top has only 1 answer, bottom has infinite answers
WHICH TABLE IS A FUNCTION?
TABLE A
TABLE B
NEITHER
BOTH
Answers
Answer:
I honestly think its neither
14. Devon has an area rug with a width 3 feet less than its length, l. He has purchased a larger rug to fit into his new dorm room. Both length and width of Devon's new rug are 2 feet longer than the original. Find the simplified expression of the perimeter and the NEW rug. plsssss help.me show work
Answers
Answer:
Perimeter of the new rug = 4x+2 feet
Step-by-step explanation:
Let the length be x feet and the width of the first rug will be x- 3 feet
Area = length * breadth = x * (x-3) = x²- 3x
Length of the new rug = x+2 feet
Width of the rug = x+2-3= x-1 feet
Perimeter of the recatngle = 2( length + breadth)
= 2( x+2 + x-1)
= 2 (2x+1)
= 4x+2 feet
The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Graph titled Distance Vs Time is shown with Time in minutes along the x axis and Distance from Nest in miles along the y axis. The scale on the x axis shows the numbers 0 to 25 at increments of 5, and the scale on the y axis shows the numbers 1 to 8 at increments of 1. A straight line joins the ordered pairs 0, 3 and 5, 4 and 10, 5 and 15, 6 and 20, 7.
Based on the graph, what is the initial value of the graph and what does it represent? (1 point)
a
3 miles per minute; it represents the speed of the bird
b
0.2 mile per minute; it represents the speed of the bird
c
0.2 mile; it represents the original distance of the bird from its nest
d
3 miles; it represents the original distance of the bird from its nest
Answers
Answer:
(d).
Step-by-step explanation:
The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest
Answer:
0.2 mile; it represents the original distance of the bird from its nest
Step-by-step explanation:
Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
Answer:
2.8%
Step-by-step explanation:
(7.4 - 7.2) / 7.2 =
0.2 / 7.2 =
2.7777777777778%
Matilda wants to average sales in her café of $1400 per day. During the first 4 days of the week, her sales were $1289, $1498, $1327 and $1510. What does she need her sales for the 5th day of the week to meet her 5-day sales goal?
Answers
Answer
Matilda needs to sell 1376$ worth of coffee
Factor-262 +65k - 2b
Answers
Answer:
-262 +65k =2b is not factorable with rational numbers
Step-by-step explanation:
The corner market sells potatoes at a rate of 1/2 dollars per potato.
1. Amanda is only able to spend $5 on potatoes. What is the most number of potatoes she can buy?
2. Sam wants to buy 15 potatoes. How much will that cost him?
Answers
Answer:
The cost of 15 potatoes is $7.50
Step-by-step explanation:
The potatoes are sold at a rate of $0.5 per potato.
1. Given Amanda can only spend $5 on potatoes at that price, she can buy at most $5 / 0.5 = 10 potatoes.
Amanda can buy at most 10 potatoes
2. Sam wants to buy 15 potatoes at that very same price. The cost of 15 potatoes is:
15 * $0.5 = $7.50
The cost of 15 potatoes is $7.50
This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for $145. How much will the weed eater cost during the blowout sale?
Answers
Answer:
58
Step-by-step explanation:
Answer:
$58
Step-by-step explanation:
The slope of the lawn and passing through the points (1,3) and (5,13)
Answers
What is the successor of 2,550
Answers
Answer:
2551
Step-by-step explanation:
The successor of a number is 1 more than it.
PLS GIVE BRAINLIEST
Which expression has a value of 40?
1. 240 divided by 60
2. 2400 divided by 6
3. 2400 divided by 60
4. 2400 divided by 600
Answers
2400 divided by 60 is equal to 40. The correct option is 3.
To find the expression that has a value of 40, to evaluate each expression:
1.
240 divided by 60:
Divide 240 by 60 is equal to 4.
So, this is incorrect option.
2.
2400 divided by 6:
Divide 2400 by 6 is equal to 400.
So, this is incorrect option.
3.
2400 divided by 60:
Divide 2400 by 60 is equal to 40.
So, this is correct option.
4.
2400 divided by 600:
Divide 2400 by 600 is equal to 4.
So, this is incorrect option.
Hence, out of the four expressions, the third one, 2400 divided by 60, has a value of 40. So the correct answer is 3 (2400 divided by 60).
Learn more about Divided here:
brainly.com/question/15381501
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12 + 4x – 4 = 12x – 9 – 8x
Answers
Answer:
No solution
Step-by-step explanation:
Basically the simplified equation is 17 = 0, which is wrong so there is no solution.
Simplify the expression by combining like terms.
t + 8 + 3t
SHOW YOUR WORK: Use different colors to circle your like terms then use addition/subtraction to combine
them.
*Remember: Variable term goes FIRST!
Answers
Answer:
4t + 8
Step-by-step explanation:
t + 3t = 4t
4t + 8
Answer:
4t+8
Step-by-step explanation:
If you look at your equation t+8+3t you will notice how you have two t parts
part 1: t
part 2: 3t
Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.
Then you just put your 8 back on to the equation! 4t+8
pls help:) i feel so guilty for asking questions
Answers
Answer:
Step-by-step explanation:
AB:
d = sqrt ( (−5−2)^2 + (−2−(−8))^2)
d = sqrt( (−7)^2 + (6)^2 )
d = sqrt(49+36)
d = sqrt(85)
d = 9.219544
BC:
d = sqrt ( (−7−(-5))^2+(3−(−2))^2 )
d = sqrt( (−2)^2 + (5)^2 )
d = sqrt(4+25)
d = sqrt(29)
d = 5.385165
AC:
d = sqrt ( (−7−(2))^2+(3−(−8))^2 )
d = sqrt( (−9)^2 + (11)^2 )
d = sqrt(81+121)
d = sqrt(202)
d = 14.21267
DE:
d = sqrt ( (−11−(-9))^2+(12−7)^2 )
d = sqrt( (−2)^2 + (5)^2 )
d = sqrt(4+25)
d = sqrt(29)
d = 5.385165
EF:
d = sqrt ( (−2−(-11))^2+(1−12)^2 )
d = sqrt( (9)^2 + (-11)^2 )
d = sqrt(81+121)
d = sqrt(202)
d =14.21267
DF:
d = sqrt ( (−2−(-9))^2+(1−7)^2 )
d = sqrt( (7)^2 + (-6)^2 )
d = sqrt(49+36)
d = sqrt(85)
d = 9.219544
Yes, the triangles are congruent because the lengths are the same.
9^(x + 2) = 27
Can someone help solve
Answers
Answer:
x=-.5
Step-by-step explanation:
Find all real square roots of 25
Answers
Answer:
All real square roots of 25 is +5 and -5.
Step-by-step explanation:
When you square root something, you take the positive and negative of the number, so the square root of 25 would be 5 and -5.
When you do 5 times 5, you get 25 and when you do -5 times -5, you get 25 as well, this is why we do the negative as well.
#teamtrees #WAP (Water And Plant)
It is found that all the real square roots of 25 are 5 and -5.
How to find the closest integer less than and greater than the square root of a number?The function is strictly increasing function for x ≥ 0.
Assuming that all the values of x are ≥ 1, whenever there is increment in the value of 'x', the value of y increases too Perfect square are those integers whose square root is an integer. Let x-a be the closest perfect square less than x, and let x+b be the closest perfect square more than x, then we get: x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).
When we do square root of something, we take the positive and negative of the number, so the square root of 25 would be 5 and -5.
When we do 5 times 5, we will get 25 and when we do -5 times -5, we will get 25 as well, this is why we do the negative as well.
Hence, all the real square roots of 25 are 5 and -5.
Learn more about square root here:
brainly.com/question/7200235
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What is the greatest common factor of 9 and 12? 3 9 36 108
Answers
Answer:
The GCF would be 3
Step-by-step explanation:
You’re welcome :)
Answer:
1. A
Step-by-step explanation:
What is 2-10(7b-2) simplified
Answers
Answer:
-70b+22
Step-by-step explanation:
Simplify each term
apply the distributive property
2-10(7b)-10 *2
multiply 7 by -10
2-70b+-10*-2
multiply -10 by -2
2-70b+20
add 2 and 20
-70b+22
Lisa loaned John $5000 at an interest rate of 6%. He repaid her $5750 to cover the principal and interest. How long did he borrow the money?
Answers
Answer:
time in years = 2.5 years
Step-by-step explanation:
time = interest / (principal amount x rate)
time = 750 / 5000 x 0.06
time = 750 / 300
time = 2.5 years