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y=ax-b gives the height y of an angled ladder, x ft from its base. Find a formula for x in terms of y.​

y=ax-b gives the height y of an angled ladder, x ft from its base. Find a formula for x in terms of y.​ class=

Answer :

frika

Answer:

[tex]x=\dfrac{y}{a}+\dfrac{b}{a}[/tex]

Step-by-step explanation:

The height y of an angled ladder, x ft from its base is given by the formula

[tex]y=ax-b[/tex]

To find the formula for x in terms of y, first express ax:

[tex]ax-b=y\\ \\ax=y+b[/tex]

If [tex]a\neq 0,[/tex] divide the previous equation by a:

[tex]\dfrac{ax}{a}=\dfrac{y+b}{a}\\ \\x=\dfrac{y}{a}+\dfrac{b}{a}[/tex]

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