sam9043
09.02.2021 •
Mathematics
Exercise 7
7.
Construct a rectangle on the coordinate plane that satisfies each of the criteria listed below. Identify the coordinate
of each of its vertices.
Each of the vertices lies in a different quadrant.
AY
Its sides are either vertical or horizontal.
The perimeter of the rectangle is 28 units.
.
Using absolute value, show how the lengths of the sides of your
rectangle provide a perimeter of 28 units.
Solved
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Ответ:
Se colocarmos que o jarro inicialmente tenha X ml, após Claudete beber 240 ml temos que X-240=Y. Então Claudete bebe 1/4 da jarra, por isso temos 3*Y/4=Z (Se ela bebeu 1/4, reataram 3/4). Depois, ela bebe 1/3 do volume inicial e o suco acaba, logo montamos a equação X/3=Z.
Agora temos um sistema com estas 3 equações:
--> X-240=Y
-->3Y/4=Z
-->Z=X/3
Juntando as 2 ultimas vc terá: X/3=3Y/4. E como Y=X-240.
X/3=3*(X-240)/4
Se resolver isto terá que X=432. logo a resposta é 'E'