Describe in words the translation of tuv using the rule x,y x-3 y-1

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Ответ:

espemena541

17.05.2021

Mathematics

$w=8cm\\h=18.75cm$

Step-by-step explanation:

Let:

$w=Width\\h=Initial\hspace{3}height\\h_m=Modified\hspace{3}height\\\\Where:\\\\h_m=h-3$

The area of the cardboard can be calculated using the formula to find the area of a rectangle:

A=w*h

The area of the new cardboard would be:

$A=w*h_m\\\\Where:\\\\w=8\\h_m=h-3\\A=126$

So:

$126=8*(h-3)\\\\126=8h-24$

Solving for h:

$126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm$

Therefore, the dimensions of the initial cardboard are:

$w=8cm\\h=18.75cm$

Translation:

Sea:

$w=Ancho\\h=Altura\hspace{3}inicial\\h_m=Altura\hspace{3}modificada\\\\Donde:\\\\h_m=h-3$

El área de la cartulina se puede calcular usando la fórmula para encontrar el área de un rectángulo:

A=w*h

El área de la nueva cartulina sería:

$A=w*h_m\\\\Donde:\\\\w=8\\h_m=h-3\\A=126$

Entonces:

$126=8*(h-3)\\\\126=8h-24$

Resolviendo para h:

$126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm$

Por lo tanto, las dimensiones de la cartulina inicial son:

$w=8cm\\h=18.75cm$

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