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Lina20 [59]
3 years ago
5

Pre-image point N(6,-3) was dilated to point N'(2, -1). What was the scale factor used?

Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0

Answer:

scale factor = \frac{1}{3}

Step-by-step explanation:

Consider the ratio of the x and y- coordinates, image to original, that is

scale factor = \frac{2}{6} = \frac{-1}{-3} = \frac{1}{3}

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Solve this system by substitution. y = 3 y = -3x + 6 *Remember to write your answer as a coordinate point (x, y). I​
DochEvi [55]

Answer:

(1, 3)

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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 3

y = -3x + 6

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in <em>y</em>:                                                                                                 3 = -3x + 6
  2. [Subtraction Property of Equality] Subtract 6 on both sides:                      -3 = -3x
  3. [Division Property of Equality] Divide -3 on both sides:                                1 = x
  4. Rewrite/Rearrange:                                                                                        x = 1

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                                                                               y = -3(1) + 6
  2. Multiply:                                                                                                           y = -3 + 6
  3. Add:                                                                                                                 y = 3
6 0
2 years ago
X/3 - ( -2) =16 and its 7 th grade algebra btw i need help
Novosadov [1.4K]

Answer x/3 -(-2)= 16

X/3+ 2=16

X/3=16-2

X/3=14

X= 14x3=42

Step-by-step explanation:

3 0
3 years ago
Assuming a 90% confidence level, the margin of error is approximately?
elena-s [515]

Answer:

  0.3

Step-by-step explanation:

The margin of error is calculated as ...

  (standard deviation)/√(sample size) × (z*-score)

where the z*-score is chosen based on the desired confidence level.

Here, you have ...

  • standard deviation = 2.7
  • √(sample size) = √225 = 15
  • z*-score for 90% confidence level = 1.645

Putting these values in the above expression for margin of error gives ...

  2.7/15·1.645 = 0.2961 ≈ 0.3

7 0
3 years ago
There are eight questions, worth ten points. How many points is each question worth?
Margarita [4]

Answer:

Step-by-step explanation:

8 questions worth 10 points...

10/8 = 1.25 points per question <==

7 0
3 years ago
Read 2 more answers
What is 87+x=100?<br> A. 13<br> B.41<br> C. 11<br> D. 20
Leto [7]

Hey there!

When we solve for x, we need to isolate x on one side.

This is just a one-step equation, meaning there is only one thing we need to do to solve for x, or isolate x.

Starting with 87 + x = 100:

Subtract 87 from each side.

87 <u>- 87</u> + x = 100 <u>- 87</u>

Simplify. Subtracting 87 from 87 makes it equal to 0.

x = 13

Your answer is A. 13.

Hope this helps!

<u />

8 0
3 years ago
Read 2 more answers
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