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enot [183]
3 years ago
6

IF=2x+2, IZ=2x+12 solve for x

Mathematics
1 answer:
Digiron [165]3 years ago
8 0
ANSWER

The value of x is

9


EXPLANATION

F is the point of intersection of the medians of the triangle,

The ratio is

IF:IZ=2:3


This implies that,

(2x + 2): (2x + 12) = 2: 3


We can write this as a fraction to get,

\frac{2x + 2}{2x + 12}  =  \frac{2}{3}


We cross multiply to get,

3(2x  + 2) = 2(2x + 12)

Let us expand the brackets yo obtain,

6x + 6 = 4x + 24


We group like terms to get,

6x - 4x = 24 - 6


2x = 18


We divide both sides by 2 to get,

x = 9

The correct answer is B.
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What are the transformations to this quadratic function y= (x+4) power of 2 - 8
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Answer:

Horizontal shift of 4 units to the left.

Vertical translation of 8 units downward.  

Step-by-step explanation:

Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:

The vertex form of the quadratic function is y = a(x - h)² + k

Where:

The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).

The axis of symmetry occurs at <em>x = h</em>.

<em>a</em> =  determines whether the graph opens up or down, and makes the graph wider or narrower.

<em>h</em> = determines how far left or right the parent function is translated.

<em>k</em> = determines how far up or down the parent function is translated.

Going back to your quadratic function,

          y = (x + 4)² - 8

  • The vertex occrs at (-4, -8)
  • a is assumed to have a value of 1.
  • Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.  
  • Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.

Please mark my answers as the Brainliest, if you find this helpful :)

4 0
2 years ago
Sara is making a key chain using the bead design shown. What fraction of the beads in her design are either blue or red? 
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3 years ago
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Step-by-step explanation:

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10 + (-25) = -15

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60/4 = 15

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Answer:

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Step-by-step explanation:

6 hours a day so thats 12 hours in total because there are 2 days

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