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Vanyuwa [196]
3 years ago
5

What would (4,3) be after it is reflected to the y=x

Mathematics
1 answer:
Paul [167]3 years ago
5 0

Answer:

(3,4)

Step-by-step explanation:

The amount of steps applied from the reflection line to the point would be also applied inversely to the image point (after reflection).

From y=x to (4,3), it goes 1 down and also goes 1 right. (NOTE: It does not go down and right. Instead, it goes <em>either</em> down and right)

So now inverse that to make 1 up and also going 1 left.

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For this case we have that half of the flag was painted blue and the other half yellow.

In addition, a third of the blue half was covered with stars.

So:

\frac {1} {2} * \frac {1} {3} = \frac {1} {6}

A sixth of the flag is blue with stars.

Answer:

\frac {1} {6}

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3 years ago
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Just saying I LOVE THESE the slope is 3/2  

Step-by-step explanation:

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3 years ago
Point p is the midpoint of de dp 6x+4 and de = 14x -10
vfiekz [6]

Answer:

x = 9

Step-by-step explanation:

A midpoint is found by adding up two numbers and then dividing by 2 (Also known as an average). Therefore, a midpoint marks half of a line. That means that DP is 1/2 of DE. We can now form an equation. 6x + 4 = 1/2 * (14x - 10), making 6x + 4 = 7x - 5 by using the distributive property. Next, isolate x by subtracting by 6x on both sides and adding by 5 on both sides. You would get x = 5 + 4, which means that x = 9.

3 0
3 years ago
Find the discriminant of x2-6x -10 = 0, and determine the number of real solutions of the equation.​
sergiy2304 [10]

Answer:

76

2 real solutions

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>

Standard Form: ax² + bx + c = 0

Discriminant: b² - 4ac

  • Positive - 2 solutions
  • Equal to 0 - 1 solution
  • Negative - No solutions/Imaginary

Step-by-step explanation:

<u>Step 1: Define</u>

x² - 6x - 10 = 0

<u>Step 2: Identify Variables</u>

<em>Compare quadratic.</em>

x² - 6x - 10 = 0 ↔ ax² + bx + c = 0

a = 1, b = -6, c = -10

<u>Step 3: Find Discriminant</u>

  1. Substitute in variables [Discriminant]:                                                            (-6)² - 4(1)(-10)
  2. [Discriminant] Evaluate exponents:                                                                36 - 4(1)(-10)
  3. [Discriminant] Multiply:                                                                                    36 + 40
  4. [Discriminant] Add:                                                                                          76

This tells us that our quadratic has 2 real solutions.

8 0
2 years ago
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