Answers
Answer:
The dilation scale factor is [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
The image is the dilated form of its preimage if and only if the following conditions are observed:
1) [tex]K' = \alpha_{1} \cdot K[/tex]
2) [tex]T' = \alpha_{2} \cdot T[/tex]
3) [tex]P' = \alpha_{3} \cdot P[/tex]
4) [tex]J' = \alpha_{4} \cdot J[/tex]
5) [tex]\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}[/tex]
If we know that [tex]K = (2, 0)[/tex], [tex]K' = (1, 0)[/tex], [tex]T = (3, 0)[/tex], [tex]T' = (1.5,0)[/tex], [tex]P = (1, 5)[/tex], [tex]P' = (0.5, 2.5)[/tex], [tex]J = (0, 3)[/tex] and [tex]J' = (0, 1.5)[/tex], then the coefficients are, respectively:
[tex]\alpha_{1} = \frac{1}{2}[/tex], [tex]\alpha_{2} = \frac{1}{2}[/tex], [tex]\alpha_{3} = \frac{1}{2}[/tex], [tex]\alpha_{4} = \frac{1}{2}[/tex]
As [tex]\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}[/tex], we conclude that the dilation scale factor applied in the preimage is equal to [tex]\frac{1}{2}[/tex].
Related Questions
Suppose triangle ABC is similar to triangle
PQR with AB:PQ = 5:9
What is the ratio of the area of ABC to PQR?
Answers
Answer:
[tex]( \frac{5}{9} ) ^{2} = \frac{25}{81} [/tex]
Match the range of the function f(x) = x2 + 2x − 1 to its domain.
2 -2 3 -3
2 --
14 --
7 --
-1 --
Answers
Answer: (2,7) (-2,-9) (3,11) (-3,-13)
Step-by-step explanation:
(2)(2)+(2)(2)-1 = 7
(2) (-2)+(2)(-2)-1 = -9
(3)(2)+(2)(3)-1 = 11
(-3)(2)+(2)(-3)-1 = -13
Please help cause if you dont you will get a beatboxbattle lol.
Answers
Answer:
14
Step-by-step explanation:
2a -b
Let a = 9 and b = 4
2(9) - 4
Multiply first
18-4
14
The diameter of your bicycle wheel is 25 inches. How far will you move in one turn of your
wheel?
a) 25 in
b) 78.5 in
c) 250 in
d) 246.49 in
e) 50 in
Answers
Answer:
b) 78.5
Step-by-step explanation:
distance you will move = circumference of wheel = πd = π(25) = 78.53981
Each group of students receives a bag that has 8 red cubes, 2 green cubes, and 10 blue cubes. If each group makes 100 pulls and replaces the cube after each pull, how many times would you expect them to draw a blue cube?
Answers
Answer:
50% of the time
Step-by-step explanation:
8+2+10=20
20-10=10
10 is half of 20
Answer:
50
Step-by-step explanation:
First find the probability of drawing a blue
The total number of cubes
8 red cubes, 2 green cubes, and 10 blue cubes = 20 cubes
P(blue) = blue / total = 10/20 = 1/2
Since they are replaced, the probability remains the same
100 draws * P(blue) = 100 * 1/2 = 50
Which of the following is the most direct first step in solving the system of equations be-
low using the elimination method?
x + y = 4
2x - y = 2
That is, which of the following would be the first step in a method that would require the
fewest number of steps?
A
multiplying the second equation by -2
B
adding the two equations together
С
multiplying the first equation by -2
D
multiplying both equations by 2
Answers
Step-by-step explanation:
Multiply each equation by a suitable number so that the two equations have the same leading coefficient. Step 2: Subtract the second equation from the first. Step 3: Solve this new equation for y. Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.
Complete each statement. If the triangles cannot be shown to be congruent from the information given, leave the triangles name blank and write Cannot Be Determined (CNBD) in the spot for rule. ∆SAT ≅ ∆_____ By _____
Answers
Answer:
The answer is "[tex]\bold{\Delta LAW \cong \Delta WKL}[/tex]. By applying the ASA congruence postulate rule".
Step-by-step explanation:
[tex]\Delta LAW\ and\ \Delta WKL\\\\AW\perp WL\ and \ WL\perp KL\\\\\angle AWL = \angle WLK .......[each \ 90^{\circ}]\\\\WL=WL.......\ [Reflexive \ property]\\\\\angle ALW = \angle KWL........\text{give in picture}\\\\[/tex]
[tex]\therefore,[/tex] by ASA postulate of congruence
[tex]\Delta LAW \cong \Delta WKL\\\\[/tex]
The ASA postulate states that when two angles on the included side with one triangle were congruent to two angles on the included side of the second triangle, then the triangles are said to have been congruent.
The function c(n) below relates the number of bushels of apples picked at a pic-your-own orchard to find cost for the apples it takes as input the number bushels of apples picked after paying an entry fee to an orchard and it returns as output the cost of the apples (in dollars) c(n)=15n+30
Answers
Answer:
C(n) = 20n + 15
y = 20n + 15
20n = y - 15
n = (y - 15)/20
N(c) = (c-15)/20
Step-by-step explanation:
Answer:
N(c)= c-30/ 15
What the equation for the slope intersection for the graph tue picture that showing ?
Answers
Answer:
Y = -5X +-1
Step-by-step explanation:
x1 y1 x2 y2
-1 4 1 -6
(Y2-Y1) (-6)-(4)= -10 ΔY -10
(X2-X1) (1)-(-1)= 2 ΔX 2
slope= -5
B= -1
Y =-5X +-1
how do i solve this??
Answers
Answer:
10q^2+3q
Step-by-step explanation:
All you have to do is combine like terms I think
(I haven't done this stuff in ages so I'm most likely wrong)
Answer:
10q^2+3q
Step-by-step explanation:
2q^2 +3q +8q^2
Combine like terms
10q^2+3q
Consider a wall clock. In degrees, how far does the minute hand move in 5 minutes?
- 5 degrees
- 30 degrees
- 6 degrees
- 1 degree
Answers
Drag the cards to create a number that matches these rules.
The number ends in the hundredths place.
6 is the nearest one when rounding.
9, 4, (.)decimal point, 5
Answers
Answer:
0.459
Step-by-step explanation:
O.459 will round to 0.46 which meets the question's criteria.
PLEASE HELP ASAP ON THESE TWO QUESTIONS BLESS YOUR HEART IF YOU HELP ME 9) Look for two points and find the sloope.
10) Plot the given points and find the slope.
Answers
Answer:
the two points are (-3,-3
Step-by-step explanation:
You must first check if the line is a straight line two the you check the intersection of the two points and the write it
m% of a number equals n. can you find the number?
Answers
Answer:
mn/100
Step-by-step explanation:
m/100 * n = number = mn/100
Assuming m and n are variables with no values.
The distance between points A(0,1) and B(x, 4) is p
34. Find the x coordinate for point B.
Answers
Answer:
X = (P^2 - 9) ^ 1/2
Step-by-step explanation:
P^2 = (4 - 1)^2+ (0 -X)^1/2
if you can type 55 words in 20 seconds how long would it take to type 1,007 words
Answers
Answer:
2769.25Secound...........
The local time in Singapore is 7 hours ahead of the local time in London. A flight to London leaves Singapore at 0300 local time .
Flight takes 12hours and 45 minutes .What is the local time in London when it arrives?
Answers
Answer:
I think its 8.45am if they are asking when it arrived in londonWhich of the following equations of a line is NOT written in standard form?
A. 12x - 2y = 82
B. y = -2x - 1
C. x – 7y = 22
D. -x + 5y = 10
Answers
Answer: B
Step-by-step explanation:
Its written in slope intercept form not standard
What is the factored form of 1,458,43 – 2?
Answers
Answer:
Factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458. There are 14 integers that are factors of 1458. The biggest factor of 1458 is 1458. Positive integers that divides 1458 without a remainder are listed below.
Use prime factor decomposition, to find the HCF of 90 and 210!
Answers
Answer:
30
Step-by-step explanation:
90 = 2 × 3^2 × 5
210 = 2 × 3 × 5 × 7
HCF = 2 × 3 × 5 = 30
What do you get if subtract the sum of -1451 and 1267 from the sum of 1146 and -2172?
Answers
Answer:
-3502 is your answerStep-by-step explanation:
hope it will help you
Answer:
-842
Step-by-step explanation:
We should find the sum of -1451 and 1267 and the sum of 1146 and -2172.
-1451 + 1267 = 1267 - 1451 = -184
1146 + (-2172) = 1146 - 2172 = -1026
Then we subtract -184 from -1026.
-1026 - (-184) = -1026 + 184 = -842
Can someone please help me out with this its really urgent Ill mark brainliest
Answers
Answer:
smart dot company c=.50t+12
communication plus c=2.50t
Step-by-step explanation:
smart dot has the starting point of $12 per month already so that would be your y-intercept with the equation being y=mx+b , y being the cost m being the amount of money per hour, x being the time spent, and b being the starting cost.
So with that smart dot would be c=.50t+12
with communication plus not having that starting point it would just be c=2.50t
Which statement best describes how to determine whether f(x) = x2 - x + 8 is an even function?
CU
O Determine whether –x2 - (-x) + 8 is equivalent to x2 – X + 8.
Determine whether (-x)2 – (-x) + 8 is equivalent to x2 – X + 8.
O Determine whether -x2 - (-x) + 8 is equivalent to -(x2 - X + 8).
O Determine whether (-x)2 – (-x) + 8 is equivalent to -(x2 – X + 8).
THIS IS 60 POINTS BTW
Answers
Answer:
2nd option
Step-by-step explanation:
If f(x) is an even function , then
f(x) = f(- x)
f(x) = x² - x + 8
f(- x) = (- x)² - (- x) + 8 = x² + x + 8
Since f(x) ≠ f(- x) then f(x) is not an even function
Find the value of 3w-10 given that -11w-4=7.
Simplify your answer as much as possible.
Answers
Answer:
-13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-11w - 4 = 7
3w - 10
Step 2: Solve for w
[Addition Property of Equality] Add 4 on both sides: -11w = 11[Division Property of Equality] Divide -11 on both sides: w = -1Step 3: Evaluate
Substitute in w: 3(-1) - 10Multiply: -3 - 10Subtract: -13What is the result of substituting for y in the bottom equation?
y=x-7
y=2+2x-4
Answers
Answer:
Plug x-7 in for y, in the bottom equation.
x - 7 = 2 + 2x - 4
x - 7 = 2x - 2
x = 2x + 5
-x = 5
x = -5
line r passes through on the same spot on the y axis as line z and also passes through the point (1,4). If the equation for line z is y= -2x + 3, what is the equation of line r
Answers
Answer:
r= x + 3
Step-by-step explanation:
They share the same y intercept so we can know the vertical shift up. The Y intercept of line z would be 3, so line r would share the intercept too. From this we can find that the slope would be one since moving one unit to the right also makes the equation go 1 unit up, from (0,3) to (1,4). This would mean that the equation of line r is r= x + 3
A shopkeeper marks his goods 25% above the cost price and gives discount of 10% on the marked price white gain percent make
Answers
answer is 6.3
I've had this question before
Question 7 (1 point)
Which coordinates have a slope of 3?
(4,5) (1,4)
(6, 9) (3,0)
(-3, 0) (-6, 0)
(3, 1) (0, 2)
Answers
Answer:
(6, 9) (3, 0)
Step-by-step explanation:
Solve for each option using the slope formula:
Slope formula:
m = y2 - y1 / x2 - x1
m = 4 - 5 / 1 - 4
m = -1/-3
m = 1/3
This is not 3.
m = 0 - 9 / 3 - 6
m = -9 / -3
m = 3
This has a slope of 3!
m = 0 - 0 / -6 - 3
m = 0/ -9
m = 0
This is not 3.
m = 2 - 1 / 0 - 3
m = 1/-3
m = -1/3
This is not 3.
Please find the value of A,B,C&D
Answers
Given
A + B = 8
A + C = 13
B + D = 8
C - D = 6
Now
A + B = B + D
A = B + D -B
A = D
C - D = C - A
A + C = 13
C - A = 6
Adding 7 on both sides
C - A +7 = 6+7
C - A + 7 = A + C
C-C -A + 7 = A
-A +7 = A
7 = A+A
7/2 = A
A = 3.5
B = 4.5
C =9.5
D = 3.5
Answered by Gauthmath must click thanks and mark brainliest
I need help please I don't understand
Answers
Answer:
57.2
Step-by-step explanation:
This is a right triangle so we can use trig ratios.
We are asked to find a side when we know a angle adjacent to that side. And we are given a side opposite of that angle. We can use Tangent to find the side length.
[tex] \tan(40) = \frac{48}{x} [/tex]
Take the reciprocal of both sides.
[tex] \frac{1}{ \tan( 40) ) } = \frac{x}{ 48} [/tex]
Multiply both sides by 48.
[tex] x = \frac{1}{ \tan(40) } \times 48[/tex]
[tex]x = 57.2[/tex]
