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Katen [24]
3 years ago
6

A similarity transformation consisting of a reflection

Mathematics
1 answer:
Maurinko [17]3 years ago
5 0

If the point in question is on the line of reflection, then the point won't move. Any point on a line of reflection stays where it is.

If that same point is the center of dilation, then it also doesn't move. The center of dilation is the only point that doesn't move in a dilation.

So the two conditions are:

  • The point must be on the line of reflection
  • The point must be the center of dilation

These two facts mean that the line of reflection must go through the center of dilation.

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Find c such that (−3,−8), (−7,−6), and (c,4) lie on a line.
bearhunter [10]
If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.

Thus,

-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4

Then the following must be true:

4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7

Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
7 0
3 years ago
How do I solve this for a and b? 7/b-36=a/72=28/b
Kamila [148]
7/(b-36)=28/b
28b-1008=7b
21b=1008
b=48
a/72=28/b
a=72x28/48
a=42
4 0
4 years ago
Read 2 more answers
PLEASE PLEASE PLEASE ITS TIMED I REALLY NEED HELP
statuscvo [17]

Answer:

<u>84 m²</u>

Step-by-step explanation:

Solving : (Formula mentioned in question)

Finding area of base using Heron's Formula :

⇒ s = 5 + 4 + 3 / 2 = 12/2 = 6

⇒ s - a = 6 - 5 = 1

⇒ s - b = 6 - 4 = 2

⇒ s - c = 6 - 3 = 3

⇒ Area = √6 × 1 × 2 × 3

⇒ Area = √36 = <u>6 m²</u>

Finding the Surface Area :

⇒ 2 × 6 + 12 × 6

⇒ 12 + 72

⇒ <u>84 m²</u>

5 0
2 years ago
Read 2 more answers
7 lawns, 5.5 hours, earned $94.50. how much did he charge to mow a lawn?
lbvjy [14]
Answer: $13.50

7 lawns  = $94.50
1 lawn  = 94.50 ÷ 7
1 lawn = $13.50

------------------------------------------------------------------------------
Answer: He charged $13.50 to mow a lawn.
------------------------------------------------------------------------------
8 0
3 years ago
A cone with radius 333 units is shown below. Its volume is 575757 cubic units. Find the height of the cone. Use 3.143.143, point
STatiana [176]

Answer: 6.05 units

Step-by-step explanation:

<em>Correct question is:</em>

<em>A cone with radius 3 units is shown below. Its volume is 57 cubic units. Find the height of the cone. Use 3.14 for pi and round your final answer to the nearest hundredth.</em>

Hi, to answer this question we have to apply the next formula:

Volume of a cone = 1/3 x π x radius^2 x height

Replacing with the values given:

57 = 1/3x  3.14 x (3)^2 (h)

Solving for h

57 = 1/3 x 3.14 x  9 (h)

57 =9.42h

57/9.42 =h

h= 6.05 units

Feel free to ask for more if needed or if you did not understand something.  

7 0
4 years ago
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