Par quelle fraction est multipliée l'aire d'un rectangle si l'on augmente sa longueur de son cinquième et sa largeur de son tiers ?

Répondre:

8/15

Explication étape par étape:

Prendre:

Longueur = x

Largeur = y

Zone du rectangle = Longueur * largeur

Un cinquième de longueur = x / 5

Un tiers de largeur = x / 3

Zone d'origine = xy

Nouvelle dimension:

Longueur = x + x / 5 = (5x + x) / 5 = 6x / 5

Largeur = x + x / 3 = (3y + y) / 3 = 4y / 3

Nouvelle zone = 6x / 5 * 4y / 3

Nouvelle zone = (24/15) xy

Fraction de la nouvelle zone par rapport à la zone d'origine:

(24/15) xy: xy

24/15: 1

24/15

= 8/5

i cant see the graph

step-by-step explanation:

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.