How do horizontal and vertical translations each affect the coordinates of the points on a figure.
Answers
Answer:
Hi there!
Your answer is:
Perform the translation:
x-10
y-3
Step-by-step explanation:
A translation is how many units X moved left/right and how many units Y moved up/down!
In your case, X went left and Y went down! This means there was a DECREASE in both of these values!
We can determine this by choosing one point and counting how many units it moved.
Lets use the point on figure 1 at (2,5)
Where did it move on figure 2? (-8, 2)
How many units left did it go? 10!
How many units down did it go? 3!
Rigid transformations is preservative of the distance between pairs of points on the figure. Horizontal and vertical translations are rigid motion transformation such that the shape and size of the figure do not change;
The sequence of translation used to move Figure 1 onto Figure 2 is T₍₋₁₀, ₋₃₎
Translate Figure 1, ten units left and three units down to move Figure 1 onto Figure 2
The reason the above sequence is correct is as follows:
Given that translations are rigid motion, we have;
The sequence of translation that will move a point on Figure 1 to the corresponding point on Figure 2 is the same as the sequence of translation used to move Figure 1 to Figure 2
The coordinates of the point on the top right corner of Figure 1 is (6, 8)
The coordinates of the corresponding point in Figure 2 is (-4, 5)
The sequence of translation, T, is given by the difference of the coordinates as follows;
The sequence of translation is T₍₍₍₋₄₎ ₋ ₆₎, ₍₅ ₋ ₈₎₎ = T₍₋₁₀, ₋₃₎
Therefore, the sequence of translation are;
1) Shift Figure 1, 10 units to the left then 2) Shift Figure 1, 3 units down to move Figure 1 to Figure 2
Learn more about rigid transformations here:
https://brainly.com/question/23461633
Related Questions
I NEED HELP PLEASE HELP ME IF YOU CAN
Answers
Answer:
IF=HF
Step-by-step explanation:
If you look at them they are equidistant
Answer:
IF=HF
Step-by-step explanation:
Which one of thses is a function cuz IONO!!!
Answers
Which can be represented by the expression 14 – 3(a + 7)?
Answers
Answer:
Simplifed is -3a-7
Step-by-step explanation:
14 – 3(a + 7)
Solve it out-
[tex]-3(a+7)+14\\-3(a) -3(7) \\-3a-21+14\\\\=-3a-7[/tex]
The vertices of a figure are FC -9,- 9),G-3, -6),H(-3,-9). Find the coordinates of the image after a dilation with a scale factor of 2 3 and then a translation 6 units up.
Answers
Transformation involves changing the size and position of a figure.
The new coordinates of the figure is:
[tex]\mathbf{F" = (-6,0)}[/tex]
[tex]\mathbf{G" = (2,2)}[/tex]
[tex]\mathbf{H" = (-2,0)}[/tex]
The coordinates are given as:
[tex]\mathbf{F = (-9,-9)}[/tex]
[tex]\mathbf{G = (3,-6)}[/tex]
[tex]\mathbf{H = (-3,-9)}[/tex]
When the figure is dilated by 2/3, the new coordinates are:'
[tex]\mathbf{F' =\frac 23 \times (-9,-9) = (-6,-6)}[/tex]
[tex]\mathbf{G' =\frac 23 \times (3,-6) = (2,-4)}[/tex]
[tex]\mathbf{H' =\frac 23 \times (-3,-9) = (-2,-6)}[/tex]
When the figure is further translated up by 6 units, the new coordinates are:
[tex]\mathbf{F" = (-6,-6 + 6) = (-6,0)}[/tex]
[tex]\mathbf{G" = (2,-4 + 6) = (2,2)}[/tex]
[tex]\mathbf{H" = (-2,-6 + 6) = (-2,0)}[/tex]
Hence, the new coordinates are:
[tex]\mathbf{F" = (-6,0)}[/tex]
[tex]\mathbf{G" = (2,2)}[/tex]
[tex]\mathbf{H" = (-2,0)}[/tex]
Read more about transformation at:
https://brainly.com/question/11707700
Answer:
F is (-6,0) and G is (-2,2) and H is (-2,0) I'm only putting my answer too because the other person said 2,2 and its -2,2
Step-by-step explanation:
If P(A) = 0.7 P(B) = 0.6 and A and B are independent event, find P(A and B)
Answers
Answer:
0.42
Step-by-step explanation:
multiply .6 by .7
!!!!!!!!!!!!!!!!!!!!!
Answers
answer asap will make brainliest
Tim is 3 years older than his sister. Five years ago the sum of their ages was
19. How old is Tim now?
please include equation
Answers
Answer:
Step-by-step explanation:
If Tim is 3 years older and five years ago, the sum of their ages is nineteen you need to find two addends that are 3 greater than each other.
So, 11+8 = 19
Five years ago Tim was 11 and his sister was 8.
add 5 to 11 = 16
Tim is 16 now
I don't know the equation though sorry
Hope this helps you :)
Solve for X
X/2≥−4
A. x≥−8
B.x≤−2
C.x≤−8
D.x≥−2
Answers
PLS HELP .................
Answers
Answer:
B
Step-by-step explanation:
B is the only choice that fails the vertical line test. A line basically touches 2 points on choice B. It can only touch 1.
-1.25(2.5)
what is the answer to this i need help really bad it’s for a test
Answers
Answer: -3.125
Step-by-step explanation: -1.25 x 2.5 = -3.125.
What is the slope of the line that passes through the points (0, –7) and (–4, 3)?
Answers
-5/2 is the slope of thosr points
Solve for b:4 = -2/3(5) + b
Answers
Answer:
[tex]\frac{22}{3}[/tex] = b
or
7[tex]\frac{1}{3}[/tex] = b
(they are the same value, just different ways of writing it)
Step-by-step explanation:
4 = -[tex]\frac{2}{3}[/tex] (5) + b
simplify
4 = -[tex]\frac{10}{3}[/tex] + b
now use inverse operations
4 = -[tex]\frac{10}{3}[/tex] + b
+[tex]\frac{10}{3}[/tex] +[tex]\frac{10}{3}[/tex]
[tex]\frac{22}{3}[/tex] = b
A culture of bacteria triples by the end of each hour, if there were initially 40 bacteria, how many bacteria should there be after 8 hours?
Answers
Answer:
262, 440
Step-by-step explanation:
40 x 3^8
40 x 6561
262, 440
Solve 5x3 – 23x2 + 29x – 15 = 0.
Answers
Answer:
its b
Step-by-step explanation:
Answer:
{x = 3, x = 4/5 + i(3/5), x = 4/5 - i(3/5)}
So B
Problem 2: The perimeter of the UNC Chapel Hill basketball court is 100 meters and the
length is 16 meters more than the width. What are the dimensions?
Answers
Given parameters:
Perimeter of the court = 100m
Unknown:
Dimensions = ?
Solution:
let the width = w
Length is 16m more;
Length = w + 16
Perimeter = 2(L + w)
100 = 2 (w + 16 + w)
100 = 2(2w + 16)
100 = 4w + 32
4w = 100 -32
4w = 68
w = 17
So, length = w + 16 = 17 + 16 = 33m
The dimensions of the court are length 33m and width 17m
The model shows the expression 20 + 16.
Which expression is equivalent to this sum?
O4(5) + 4
4+5+4
O4(5+4)
5(4+4)
Answers
Explanation:
4 (5+4)
4 times 5 is 20 which added to 4 times 4 which is 16 is the same thing asked before. 20+16. So the answer is the third one
Answer:
4 (5 + 4)Step-by-step explanation:
20 + 16
= 4 (5 + 4)
= 4(5) + 4(4)
= 20 + 16
therefore, the answer is 4 (5 + 4)
27x+2=2x+27
I need help now
Answers
Answer:
x=1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
The Family Arts Center charges $22 for adults, $13 for senior citizens, and $5 for children for their live performance on Sunday afternoon. This past Sunday, there paid revenue was $8526 for 670 tickets sold. There were 49 more children than adults. How many children attended. A 205 B 247 C 208 D 257
Answers
Answer:
257
Step-by-step explanation:
Let the number of Adults = x
Number of senior citizens = y
Number of children = z
x + y + z = 670 tickets
The Family Arts Center charges $22 for adults, $13 for senior citizens, and $5 for children for their live performance on Sunday afternoon.
$22 × x + $13 × y + $5 × z = $8526
22x + 13y + 5z = 8526
There were 49 more children than adults.
z = x + 49
x + y + z = 670 tickets
x + y + x + 49 = 670
2x + 49 + y = 670
y = 670 - 2x - 49
We substitute
22x + 13y + 5z = 8526
22x + 13(670 - 2x - 49) + 5(x + 49) = 8526
22x + 8710 - 26x - 637 + 5x +245 = 8526
22x + 5x - 26x + 8710 - 637 + 245 = 8526
x + 8318 = 8526
x = 8526 - 8318
x = 208
The number of Adults = 208
The number rod children is calculated as:
z = x + 49
z = 208 + 49
z = 257
The number of children = 257
On a horizontal number line, -7 is located to the right of -10.
Answers
I don’t know how to solve it please help
Answers
Answer:
when x=0 then f(x) = -2
when x=1 then f(x) = 3
when x=2 then f(x) = 8
Step-by-step explanation:
you just plug in the x value given to you into the equation (which is 5x-2) so for example:
if x = 0 then:
5x-2 is instead 5(0)-2 which means you multiply 5 and 0 and then substract 2 because you have to follow PEMDAS
PEMDAS is (Parenthesis, Exponents, Multiplication, Division, Addition, Substraction) which is the order of priority to be solved, so you first solve parenthesis, then exponents, then you multiply or divide, and then you add or substract
easy way to remember PEMDAS: Please Excuse My Dear Aunt Sally, OR Please End My Depression And Suffering (my favorite way to remember, don't take that seriously tho >_>)
so because you have to multiply before subtracting you multiply 5 and 0, you get 0, and then you take away 2 which is -2
remember to just plug in your values and then do PEMDAS
hope you learned something :P
What function equation is represented by the graph?
f(x)=−3x+6
f(x)=6x−3
f(x)=6x+2
f(x)=−3x+2
Answers
Answer:f(x)=-3x+6
Step-by-step explanation:
Answer:
A. f(x)=-3x+6
Step-by-step explanation:
Help answer this with steps!
Answers
4>7 + 1m, solve for m
4-7= -3
m<-3 or -3>m
+3m +3m
4+1m>7
-4 -4
1m>3
/1m>/1
m>3
An lift holds no more than 1200 pounds if you are rolling a cart that weighs 760 pounds how much more can the elevator hold?
Answers
Answer: 440
1200 - 760 = 440
Answer: 440 pounds
Step-by-step explanation:
Combine like terms 2/3(24k-6)-2k
Answers
Answer: It may be 14k - 4
Step-by-step explanation:
how long will it take a ball to roll 10 meters along the floor at a velocity of 0.5 m/s
Please helppp
Answers
20 seconds.
Explanation:
The following data were obtained from the question:
Distance = 10 m
Speed = 0.5 m/s
Time =...?
The speed of an object is simply defined as the distance travelled by the object per unit time. Mathematically, it is expressed as:
Speed = Distance /time
With the above formula, we can obtain the time taken for the ball to travel a distance of 10 m as shown below:
Distance = 10 m
Speed = 0.5 m/s
Time =...?
Speed = Distance /time
0.5 = 10/time
Cross multiply
0.5 × time = 10
Divide both side by 0.5
Time = 10/0.5
Time = 20 secs.
Therefore, it will take 20 seconds for the ball to travel a distance of 10 m.
PLEASE HELP! :)
A restaurant owner was experimenting with the taste of her homestyle lemon
drink. She started with 60 litres of water. She removed 15 litres of the water and
replaced it with 15 litres of pure lemon juice.
After thoroughly stirring the new mixture, she discovered that it was too
“lemony”. So she removed 10 litres of the new mixture and replaced it with 10
litres of water. She thoroughly stirred the mixture and concluded that the new
mixture was just right.
Determine the ratio of pure lemon juice to water in the final 60 litre mixture.
Answers
Answer:
Lemon juice / water = 12,5 / 47,5 or 26,31 %
Step-by-step explanation:
First step:
We got 60 liters. of water and we replace 15 liters. of water and add 15 liters of lemon juice, then our mixture is:
60 lts. of mixture ⇒ with 45 lts. is water and 15 lts. is lemon juice
The proportion of the mixture
each liter of the mixture is 0,75 lts. of water and 0,25 of lemon juice
2 step
Removing 10 lts. of mixture implies
10 lts of mixture means 7,5 lts. of water and 2,5 lts. of lemon juice
then we have
50 lts. of mixture with (45 - 7,5 = 37,5 lts.) of water and (15 - 2,5 = 12,5 ) lts. of lemon juice
third step
Addind 10 lts. of water:
60 lts. of mixture with ( 37,5 + 10 = 47,5) lts. of water and 12,5 lts. of lemon juice
Final mixture is
60 lts. of mixture with 47,5 lts. of water and 12,5 lts. of lemon juice
Proportion
Lemon juice / water = 12,5 / 47,5 or 26,32 %
2/3r+4/3p-1/3p=
please helpppp
Answers
Answer:
2/3r + p
Step-by-step explanation:
2/3r + 4/3p - 1/3p
combine like terms, terms with like coefficients can be combined, terms that do not have like coefficients cannot be combined
coefficient- the variable that a number is multiplied by
2/3r + 4/3p - 1/3p
combine
2/3r + 3/3p
or
2/3r + p
please answer this for me x+y=y +x
Answers
Answer:
Hi there!
That is an example of the commutative property of addition! It states that changing the order of addends does not change the sum.
Hope this helps
The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t) = 2,280 – 60t can be used to represent their distance, in miles, from home after t hours of driving.
What is the value of D(15)?
Answers
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[tex]D(t) = 2280 - 60t[/tex]
[tex]D(15) = 2280 - 60(15)[/tex]
[tex]D(15) = 2280 - 800[/tex]
[tex]D(15) = 1480[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
1380
Step-by-step explanation:
d(t)=2280-60t
d(15)=2280-60(15)
2280-900
=1380
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 centimeters of the velvet. Another customer bought an additional 14 meters during the afternoon. How much crimson velvet does Malik's shop have left? Write the answer in centimeters. centimeters of velve
Answers
Given:
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long.
Velvet purchased by first customer = 120 centimeters
Velvet purchased by second customer = 14 meters
To find:
The remaining velvet in Malik's shop.
Solution:
We know that,
1 meter = 100 cm
Using this conversion, we get
32 meter = 3200 cm
14 meter = 1400 cm
Now,
Remaining velvet in Malik's shop = (3200 - 120 - 1400) cm
= 1680 cm
Therefore, the remaining velvet in Malik's shop is 1680 cm.
