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Stella [2.4K]
3 years ago
13

Which transformation shows that the two given circles are similar?

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0
What we know:
Circle A has a center at (2,0) and a radius of 8
Circle A' has a center at (-1,5) and a radius of 3

What we need to find: 
we need to find the transformation from the center point of A to A' and the scale factor 

Circle A can be mapped to Circle A'
center point translation (x,y)⇒[(x+a),(y+b)]⇒(x-3, y+5)

2+a=-1                                      0+b=5
-2+2+a=-1-2                                  b=5
a=-3

scale factor is 3/8
8x=3
8/8x=3/8
x=3/8

<span>A)(x, y) → (x - 3, y + 5); scale factor 3/8 </span>
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Ryan's soccer equipment weighs 6 pounds more than Ken's. If both of their soccer equipment weighs 42 pounds together how much do
mr_godi [17]

Answer:

15 pounds

Step-by-step explanation:

because half of 42 is 21-6 is 15 therefore it all adds up to 42

4 0
3 years ago
The value of y is inversely proportional to the value of x. When y=42, x=6.
NARA [144]
Because x and y are inversely proportional, there is some constant k such that

xy=k

Given that y=42 and x=6, we have

k=6\times42=252

So when x=9, you have

9y=252\implies y=\dfrac{252}9=28
4 0
3 years ago
WILL MARK BRAINLIEST!!! NEED QUICKLY <br> Look at attachment
Nastasia [14]

Answer:

v = 25

Step-by-step explanation:

The crucial information you need to know to solve this is to realize that HI and GH are the same length. However, why they are equal is not immediately obvious.

Both sides of the middle line (HF) are symmetrical, since G and I are the same distance away from the line, and they both lie on a line perpendicular to the middle line.

Note: we know they're the same distance away due to the small red marks in the lines, indicating that they're the same length.

The angles at G and I in the triangles are also the same, as the lines from G and I both meet at H. If they were different angles, they would each hit a different point on the middle line.

Thus, we can conclude that GH and HI are the same length.

Since we know the following:

GH = 4v - 75

HI = v

We can set GH and HI equal to each other and solve the equation.

4v - 75 = v

Subtract v from both sides:

3v - 75 = 0

Add 75 to both sides:

3v = 75

Divide both sides by 3:

v = 25

Answer: v = 25

5 0
3 years ago
Read 2 more answers
25. Save the simultaneous equations 2x-y=4;x+y=5​
Gnoma [55]

Answer:

Step-by-step explanation:

2x-y=4 ..........(1)

x+y=5 ...........(2)

<u>Add equation 1 and 2:</u>

We get:

3x=9

x=9/3

x=3

Substitute value of x in (2):

x+y=5

3+y=5

y=5-3

y=2

(3,2)

8 0
3 years ago
If p(x) = x2 – 1 and q(x) = 5(x-1) which expression is equivalent to (p – q)(x)?
lilavasa [31]

Answer:

Option C is correct.

The expression which is equivalent to (p-q)(x)  is, x^2 -1 - 5(x-1)

Step-by-step explanation:

Given: p(x) = x^2 -1 and q(x) = 5(x-1)

To find the expression which is equivalent to (p-q)(x):

here p and q both are function assuming;

we can write the expression :

(p-q)(x) = p(x) - q(x) = x^2 -1 - 5(x-1)

therefore, the expression which is equivalent to (p-q)(x)  is;   x^2 -1 - 5(x-1)

3 0
4 years ago
Read 2 more answers
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