<span>Y is directly proportional to x^2. It could be represented by the expression:
y </span>α x^2
We can make it into an equality by inserting the proportionality constant, k.
y = kx^2
k would be constant for any value of y with a corresponding value of x. We solve the problem by this concept as follows:
y1/(x1)^2 = y2/(x2)^2
10/(x1)^2 = y2/(x1/2)^2
10/4 = y2
Therefore, when the value of x is halved, y is equal to 10/4.
Answer:
ahh pythagoras' theorem, my old nemesis...
Step-by-step explanation:
The statement which best describes the translation from the graph y= 6x² to the graph of y = 6(x+1)² is; The translation represents a unit shift rightward.
<h3>Which phrase best describes the translation from the graph?</h3>
The translation involved in the transformation of the graph as given in the task content represents a rightward shift of the graph y = 6x² by 1 unit.
On this note, it follows that the translation involved between the two graphs is; a unit shift to the right.
Read more on translations in graphs;
brainly.com/question/27894131
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<h2>
Answer: x = 6</h2>
* = things that have changed or are being changed
<h2>
Explanation:</h2>
1. rearrange terms
*4
4 + 3
* = 5
+ 2
+ 2
0
*3x + 44* = 5x + 2 + 20
2. combine like terms
3 + 44 = *5x + 2* + 20
3 + 44 = *7x* + 20
3. Subtract 4
4 from both sides of the equation
3x + 44 = 7x + 20
3x + 44 *-44* = 7x + 20 *-44*
4. Simplify
(Subtract the numbers)
3x + *44 - 44* = 7x + 20 - 44
3x = 7x + 20 - 44
(Again)
3x = 7x + 20 *- 44*
3x = 7x - 24
5. Subtract 7
from both sides of the equation
3x = 7x - 24
3x *- 7x* = 7x - 24 *- 7x*
6. Combine like terms
*3x - 7x* = 7x - 24 - 7x
*-4x* = 7x - 24 - 7x
(Again)
-4x = *7x* - 24 *- 7x*
-4x = - 24
7. Divide both sides of the equation by the same term
-4x = - 24

8. Simplify
(Cancel terms that are in both the numerator and denominator)

*x* = 
(Divide the numbers)
x = 
x = 6