Answers
The pre-image of the triangle has the following vertices: A'(x, y) = (4, 4/3), B'(x, y) = (- 2, 0) and C'(x, y) = (1, 3).
How to find the pre-image of the triangle
In this problem we must use a transformation rule known as dilation, a kind of rigid transformation, to derive the preimage of the triangle, whose formula is:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)] (1)
Now we proceed to find the preimage of the triangle: O(x, y) = (0, 0), k = 2/3
Point A'
A'(x, y) = (0, 0) + (2/3) · [(6, 2) - (0, 0)]
A'(x, y) = (4, 4/3)
Point B'
B'(x, y) = (0, 0) + (2/3) · [(- 3, 0) - (0, 0)]
B'(x, y) = (- 2, 0)
Point C'
C'(x, y) = (0, 0) + (2/3) · [(1.5, 4.5) - (0, 0)]
C'(x, y) = (1, 3)
The pre-image of the triangle has the following vertices: A'(x, y) = (4, 4/3), B'(x, y) = (- 2, 0) and C'(x, y) = (1, 3).
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Related Questions
Which shape is a trapezoid with only 1 pair of parallel side
Answers
Answer: top green one
Step-by-step explanation:
Quadrilateral
Option (b) is the correct, which shows trapezoid with one pair of parallel lines.
What is trapezoid ?A trapezoid, also known as a trapezium, is a closed shape having four sides, in which one pair of lines is parallel.
To show trapezoid with only 1 pair of sides,
Solve with the help of options,
(a) In the given shape, both the pair of sides are parallel.
(b) In the given shape, one side is parallel, and defines the shape of trapezoid.
(c) in the given shape, not any side is parallel to other side.
(d) In the given shape, both the pair of sides are parallel.
Option (b) is the only option that satisfies the given condition.
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Find the value of x. 7 3
x=
Answers
Step-by-step explanation:
these are your answers anyways you're welcome bye bye
Determine whether the graph represents a function . If it does represent a function , give its domain and range.
#18,20,24,30
PlEASE GUYS HELP ME OUT!!!!
Answers
Answer:
A function is a relationship that maps elements from a set (the domain) into elements from another set (the range)
Such that each element in the domain can be mapped into only one element from the range.
Let's see graphs 18, 20,24 and 30.
Remember that the axis that represents the domain is the horizontal one (usually represented with x), and the vertical axis represents the range (usually represented with y)
18) Here we can see that the point x = 1 his mapped into two different values of y.
we have the pair (1, 2) and the pair (1, -3)
And something similar happens for x = 2.
Then we can conclude that this is not a function.
20) Here we have a linear relationship.
Linear relationships are almost always functions, the only case when these are not functions is when the linear equation is something like x = a.
Linear equations can be written as:
y = a*x + b
So x can be any value, and thus y also can be any value.
Then the domain is the set of all real numbers, and the range is the set of all real numbers.
24) Here we have a quadratic function whose arms go down.
This is a function, now let's see the domain and range.
Quadratic functions are written as:
y = a*x^2 + b*x + c
There is no value of x can cause some problem in this equation, then this function works for all values of x, then the domain is the set of all real numbers.
Now, let's look at the graph.
We can see that the function goes up, reaches a maximum, and then goes down again.
Then the range will be the set of all the values smaller than the maximum we can see in the graph, this is:
y ∈ (-∞, 15]
or simply:
y ≤ 15.
30) Here again, we can see that for x = 0 there are two different values of y.
the same happens for x = -1, x = -2, and a lot of other values.
Then this is not a function, because it is mapping values of the domain into different values of the range.
Write your answer as a decimal or whole number.
% of 10 =7
Answers
We know that 70% of 100 is 70 but since we are working with 10 we can use a proportion.
However, just by looking at the numbers we can conclude it is 70% because if you take a zero off of 100 and 70 it is still proportionally equal to 100 and 70. Therefore, the answer is 70%.
What is the simplified answer?
Answers
Answer:1 and 1/2
Step-by-step explanation:
differentiate between Charles babbage's and Alan turing's computer designs
Answers
Rob hits ball 3 feet off the ground at an angle of 30 degrees with an initial velocity of 115ft/sec. Will the ball clear a 20 foot fence that is 300 feet from the home plate?
Answers
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how to rewrite 6(38) using the distributive property?
Answers
= (6 x 19) + (6 x 2)
= 114 + 12
= 226
Solve 1\ 7 + 1 \2= Show all your steps and don't get the answers from goo.gle.
and if it is not about the question four the answer I will report and no branlest
Answers
Answer:
[tex]\frac{9}{14}[/tex] = 0.642857143
Step-by-step explanation:
[tex]\frac{1}{7}+\frac{1}{2}[/tex]
Least common multiple of 7 and 2 is 14. Convert [tex]\frac{1}{7} and \frac{1}{2}[/tex] to fractions with denominator 14.
[tex]\frac{2}{14} + \frac{7}{14}[/tex]
Since [tex]\frac{2}{14} + \frac{7}{14}[/tex] have the same denominator, add them by adding their numerators.
[tex]\frac{2+7}{14}[/tex]
Add 2 and 7 to get 9.
[tex]\frac{9}{14}[/tex]
what is the system of linear equation by graphing? 2x + 3y=16.9
5x=y + 7.4
Answers
Answer:
6366336363721.0122112222%
Help pls
What is the main detail when Multiplying a Difference of Squares?
There is no "A" Value
There is no "B" Value
There is no "C" Value
Ik it’s not c!
Answers
Rick earned 36 extra credit points. Cindy earned e fewer extra credit points than Rick. Write
an expression that shows how many extra credit points Cindy earned.
PLEASE ANSWER
Answers
Answer:
36-e
Step-by-step explanation:
-
y = 5x – 2
2x + 9y = 10
Answers
x= y+2/5
x= 1/2
Answer:
y= ax+mb
Step-by-step explanation:
What’s the slope of y = -3x + 5? *
Answers
Answer:
-3
Step-by-step explanation:
The number connected to the x is the slope, the number being added on or subtracted is the y-intercept
Answer:
m=-5
Step-by-step explanation:
Hello i have no question im just giving brainliest to whoever answers first
Answers
Answer:
thanks very much I really appreciate your kindness
she has 3 pairs of shirts and 3 pair of pants and 1 cap how many outfits can she make.
Answers
i drew a picture and got 9 outfits because each shirt can be used with every single color pant and theres 1 cap that can go with each of these outfits
Answer:
she can make 3 outfits and only one of them have a cap
Step-by-step explanation:
Distribute and combine like terms:
6-3(x-8)
Please show a step by step process.
Answers
In a store the number of dogs is 12 times greater than 3 times of cats. If there are 21 dogs in the store, how many cats are in the store?
Answers
Answer:
If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:
3 cats
Step-by-step explanation:
21= number of dogs
c = number of cats
21 = 12 + (3c)
3c = 9
c = 3
Screen printing a batch of shirts requires 1 minute per shirt in addition to 6.07 minutes of initial setup time. If it takes 13.07 minutes to screen-print a batch of shirts, how many shirts are in the, batch?
Answers
Answer:
7
Step-by-step explanation:
13.07 minus 6.07 is 7
7 divided by 1 is 7
ans is 7
SOMEONE SAVE ME FROM FAILING PLEASE
Answers
Answer:
Ok 19$ fortnite card. Who wants it!, and yes I am giving it away, and remember, share, share, share, and trolls, don't get blocked!
Step-by-step explanation:
Answer:
y - 3 = -2(x + 4)
A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
o y--3x+1
oys
O y=-5x - 23
O y = 5x + 27
Answers
Answer:
0
Step-by-step explanation:
what happened that 0 ok live bistro 2.52 and 10 1 which is the quality of the line or 3 x + 100 s y if x = 25
help me please!!!!!....
Answers
Which equation represents a linear equation
Answers
Answer:
I'm thinking it's A or C
Step-by-step explanation:
I'm sorry I can't decide ;-;
Answer:
The 4th answer.
Step-by-step explanation:
It has the equivalence that each point will be substracted 5 from y and 20 from x, but it won't change the line of the result. Sure, the position, but not the line.
How do you graph y = (4 – x)(x + 2)?
Answers
Answer: look at the picture
Step-by-step explanation: hope this help
Find the value of x.
5xº
55°
O A. 7
B. 25
C. 18
O D. 11
Answers
Answer:
the answer for this would be D. 11
.cuál es el resultado de 3.15+2
Answers
Answer:
3.15+2=5.15
The answer is 5.15.
Find the sine and cosine of the given angle
120°
Answers
Answer:
By using the value of cosine function relations, we can easily find the value of sin 120 degrees. Using the trigonometry formula, sin (90 + a) = cos a, we can find the sin 120 value. We know that the value of cos 30 degrees is √3/2. Therefore, sin 120° = √3/2
Step-by-step explanation:
please mark brainlist
Aaron is twice as old as Ryan.In 3 years,the sum of their ages will be 30 years.Find Aaron′s present age
Answers
Answer:
If we take Ryan's age as 'x' then we have Aaron's age as '2x'
Now, we have the sum of their ages after 3 years as 30.
So according to question, we can prepare an equation which is
2x+3+x+3 = 30
= 3x+6 = 30
= 3x = 30-6
= 3x = 24
= x = 24÷3
= x = 8
Thus, Ryan' is 8 years old now.
Now we need to find Aaron's age, and this can be done easily as we have already made an expression fore Aarons age, i.e., '2x'
So 2x= 2×8
= 16.
So we have Aaron's age-16,
Ryan's age-8
Aaron: x *2
Ryan: x
So basically 3 in total. Since 30 is already divisible by three we can go from there. Then we will get original age.
30/3 = 10
Aaron = 10 *2
Ryan = 10
This is their ages AFTER the three years. So now, we just subtract to find original age.
20-3= 17
20-3 = 7
Aaron is 17.
Ryan is 7.
what does 1/2 x 2/3 equal
Answers
Answer:
9/2
Step-by-step explanation:
LMNP is a rectangle. Find the length of each diagonal. LN=x and MP=2x-9
Answers
Answer:
LN = MP = 9 units
Step-by-step explanation:
In rectangle LMNP, LN and MP are diagonals .
Measures of the diagonals of a rectangle are equal.
Therefore,
MP = LN
2x - 9 = x
2x - x = 9
x = 9
LN=x = 9 units
MP=2x-9 = 2*9 - 9 = 18 - 9 = 9 units