1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kisachek [45]
3 years ago
10

PLEASEEE HELP PLEASEEE!!!!

Mathematics
1 answer:
Sliva [168]3 years ago
8 0

Answer:

1. a) The scale factor that transform ΔKLP to ΔK'L'P' is a dilation of 3/2

b) The rule represented is that if the scale factor is larger than 1, the image formed is larger than the preimage

2. a) The scale factor of the dilation is 3/4

b) The rule represented by the dilation is a scale factor of less than 1 produces an image with a distance from a given point which is less than the distance of the preimage from the given point

Step-by-step explanation:

1. The coordinates of the triangle ΔKLP are;

K(-4, 2), L(2, 6), P(4, -6)

The coordinates of the points of triangle ΔK'L'P' are;

K'(-6, 3), L'(3, 9), P'(6, -9)

The length of segment KL = √((2 - (-4))² + (6 - 2)²) = 2·√13

The length of segment LP = √((4 - 2)² + (-6 - 6)²) = 2·√37

The length of segment KP = √((4 - (-4))² + (-6 - 2)²) = 8·√2

The length of segment K'L' = √((3 - (-6))² + (9 - 3)²) = 3·√13

The length of segment L'P' = √((6 - 3)² + (-9 - 9)²) = 3·√37

The length of segment K'P' = √((6 - (-6))² + (-9 - 3)²) = 12·√2

Therefore, K'L'/KL = 3·√13/(2·√13) = L'P'/LP = (3·√37/(2·√37)) = K'P'/KP =(12·√2/(8·√2)) =  3/2

Therefore, the scale factor that transform ΔKLP to ΔK'L'P' is a dilation of 3/2

The rule represented is that if the scale factor is larger than 1, the image formed (here ΔK'L'P') is larger than the preimage (ΔKLP)

2. The location of the preimage, W(-12, -4), the location of the image after the dilation W'(-9, -3)

Taking the origin O(0, 0), as the center of dilation, we have;

The length of the preimage W(-12, -4) from the origin = √((-12 - 0)² + (-4 - 0)²) = 4·√10

The length of the image W'(-9, -3) from the origin = √((-9 - 0)² + (-3 - 0)²) = 3·√10

Therefore, the scale factor of the dilation = W'O/WO = 3·√10/(4·√10) = 3/4

The scale factor of the dilation = 3/4

The rule represented by the dilation is that for a scale factor less than 1, the distance between the point of the image from a given point is less than the distance of the point of the preimage from the same point

You might be interested in
Marley solve 345 -176 and then checked her work which pair of number sentences did she u
polet [3.4K]

Answer:

Could you finish the question???

Step-by-step explanation:

8 0
2 years ago
Translate the inequality and solve. Negative three times a number is less than six.
mart [117]

Answer:

x>-2

Step-by-step explanation:

The translated inequality to be solved is -3x<6

You divide -3 by both sides which switches the sign because it is negative, there fore the answer is x>-2.

4 0
3 years ago
Read 2 more answers
Help please!!!!!!!!!!!!!
kaheart [24]

Answer:

53

Step-by-step explanation:

6x3=18

8-3=5

6+1=7

7x5=35

35+18=53

I hope this helps!

5 0
3 years ago
Which property justifies this question -5 x 12 = 12 x -5
cluponka [151]

Answer:

Commutative Property of Multiplication

Step-by-step explanation:

Commutative Property of Multiplication is the switching of the order first factor  (multiplicand) and the second factor (multiplier), which does not change the product. For example, 4 × 5 = 5 × 4

-5 × 12 = -60

12 × -5 = -60

8 0
2 years ago
How do you solve for the quotient of (x^-1) - 1 ÷ x - 1?
Ber [7]

\bf x^{-1}-1\div x-1\implies \implies \cfrac{1}{x}-1\div x-1\implies \cfrac{\frac{1}{x}-1}{~~x-1~~}\implies \cfrac{~~\frac{1-x}{x}~~}{\frac{x-1}{1}} \\\\\\ \cfrac{1-x}{x}\cdot \cfrac{1}{x-1}\implies \cfrac{-(\begin{matrix} x-1 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix})}{x}\cdot \cfrac{1}{\begin{matrix} x-1 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies -\cfrac{1}{x}\implies -x^{-1}

3 0
3 years ago
Other questions:
  • Whats 999 divided by 9?
    15·2 answers
  • What is the sum of all the angles in a triangle
    5·1 answer
  • Diana invested $3000 in a savings account for 3 years. she earned $450 in interest over that time period. what interest rate did
    7·1 answer
  • PLEASE HELP I DON'T KNOW HOW TO DO THIS
    14·1 answer
  • 3k(k+10)=0 factor show steps please
    11·1 answer
  • 5x - 6 = -16 (Show work)
    10·1 answer
  • Between which two thousands is the number 36,219
    12·2 answers
  • This is number nine if you wanted to help please
    10·2 answers
  • Can anyone help me with these? It's a yes or no question...
    12·2 answers
  • HELPPPP PLZ. THIS IS MY LAST CHANCE IF I GET IT WRONG ILL FAIL!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!