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andreyandreev [35.5K]
3 years ago
6

Given the pre-image point A (4,-9) and it's image point A' (12, -27), determine the scale factor

Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0

Answer:

scale factor = 3

Step-by-step explanation:

To determine the scale factor, calculate the ratio of the image x and y coordinates to the original x and y coordinates, that is

scale factor = \frac{12}{4} = \frac{-27}{-9} = 3

You might be interested in
In 1990, the cost of tuition at a large Midwestern university was $99 per credit hour. In 2003, tuition had risen to $268 per cr
vodka [1.7K]

Answer:

63%

Step-by-step explanation:

<em>From the question, we aim to find the percent increase in the tuition</em>

Given data

initial cost= $99 per credit hour

Final cost=  $268 per credit hour

% increase= (Final - initial )/initial *100

substitute

% increase= (268- 99 )/268 *100

% increase= 169 /268 *100

% increase= 0.630*100

% increase= 63%

Hence the increase in the tuition from 1990 to 2003 is 63%

5 0
3 years ago
Find the circumference of the object. Use $3.14$ or $\frac{22}{7}$
TiliK225 [7]
C≈6.28m your welcome
4 0
3 years ago
Find the perimeter of the given rectangle: 5x - 9 by 7
amid [387]

Answer:

x=12.6

Step-by-step explanation:

5x -9 / 7

5x= -9x7

5x= -63

x= -63/5 = -12.6

x= -12.6

5 0
2 years ago
Are these correct? If not please help me write the correct answer.​
Keith_Richards [23]

Answer:

Mostly correct

For Q3, you are doing great, you remembered that negative numbers can happen if the exponent is an odd number.

For Q4, I think you were confused with the fractions,

4(i)

(\frac{2}{3} )^{4} = (\frac{2^{4}}{3^{4}}) = (\frac{16}{81}) =0.198

4(ii) is also wrong but I'll let you try to fix it yourself following what I given you for 4(i). You should get 1/64

Hope this helps!

4 0
3 years ago
Read 2 more answers
Find f(x) + g(x) for<br> [ f(x) = 6x – 4<br> [g(x) = -5x + 24
Ket [755]

Answer:

f(x) + g(x) = x + 20

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Functions
  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 6x - 4

g(x) = -5x + 24

<u>Step 2: Find f(x) + g(x)</u>

  1. Substitute in functions:                                                                                     f(x) + g(x) = 6x - 4 + (-5x + 24)
  2. Combine like terms (x):                                                                                    f(x) + g(x) = x - 4 + 24
  3. Combine like terms:                                                                                         f(x) + g(x) = x + 20
3 0
3 years ago
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