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Misha Larkins [42]
2 years ago
10

16. Find the point that partitions AB in the ratio 1:3 from A to B if A(-4,-7) and B (12,5).

Mathematics
2 answers:
Feliz [49]2 years ago
8 0

Answer:

Step-by-step explanation:

Paladinen [302]2 years ago
3 0

Answer:

(0, 3)

Step-by-step explanation:

To split AB in the ratio 1:3, we must find the midpoint of the line AM, where M is the midpoint of AB.

M=((-4+12)/2, (-7+5)/2)=(8/2, -2/2)=(4, -1)

Midpoint of AM: ((4+-4)/2, (7+-1)/2)=(0/2, 6/2)=(0, 3)

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What are the transformations to this quadratic function y= (x+4) power of 2 - 8
I am Lyosha [343]

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
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