Answered

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Does [tex]$(4,0)$[/tex] make the equation [tex]$y = 2x - 4$[/tex] true?

A. Yes
B. No

Sagot :

GinnyAnswer
To determine if the point [tex]\((4, 0)\)[/tex] satisfies the equation [tex]\(y = 2x - 4\)[/tex], follow these steps:

1. Identify the coordinates of the point: In this case, [tex]\(x = 4\)[/tex] and [tex]\(y = 0\)[/tex].

2. Substitute the value of [tex]\(x\)[/tex] into the equation [tex]\(y = 2x - 4\)[/tex]:
[tex]\[ y = 2(4) - 4 \][/tex]

3. Calculate the right-hand side of the equation:
[tex]\[ y = 8 - 4 \][/tex]
[tex]\[ y = 4 \][/tex]

4. Compare the calculated [tex]\(y\)[/tex] value with the given [tex]\(y\)[/tex] value of the point:

From the calculation, [tex]\(y = 4\)[/tex]. The given [tex]\(y\)[/tex] value of the point is 0. Therefore, [tex]\( 0 \neq 4\)[/tex].

Since the calculated [tex]\(y\)[/tex] value does not match the given [tex]\(y\)[/tex] value, the point [tex]\((4, 0)\)[/tex] does not satisfy the equation [tex]\(y = 2x - 4\)[/tex].

So the answer is:

- no
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