WhatTheFangirl5446 WhatTheFangirl5446
  • 17-05-2019
  • Mathematics
contestada

A rectangle has length (x+4) cm and width (x-3) cm. Its area is 30 square centimeters. Write a quadratic equation and solve it to find the length of the rectangle.

Respuesta :

giel
giel giel
  • 17-05-2019

(x+4)(x-3)=30

x^2 +x -12 =30

x^2 +x =42

x^2 +x -42 =0

(i solved it by factorising: _x^2 × -42)

x^2 -6x +7x -42 =0

x(x-6) +7(x-6) 0

(x-6)(x+7)=0

x=6; x=-7

since it's a length, x can't be a negative number, so it must be 6

Answer Link

Otras preguntas

What does an electrostatic force do? A. An electrostatic force attracts oppositely charged particles. B. An electrostatic force holds particles together by shar
What are the roles of at least 3 minerals in the soil which is essential for the process of photosynthesis​
When a wave reaches a coastline, it releases a burst of energy that generates a current, which runs parallel to the shoreline and this type of current is called
[tex]\sqrt{x}-2=\sqrt{x-10}[/tex]
Lea la siguiente información: "Carlos es colombiano, pero vive en Chile. Él tiene 36 años. Carlos es un doctor. Él trabaja en un hospital ubicado en la capit
Solve this linear equation 2.6(.5.5-12.4=127.92​
Bert looks around at an assembly. He notices his younger sister to his right and his older brother 3 meters ahead of him. If Bert's brother and sister are 5 met
The algebraic expression of the SUM is n²+2n. What is the common difference and first term
It is estimated the value of a new car decreases by 30% after one year of ownership. Find the value of a car after one year of ownership if the cost of the new
Is this triangle acute, right or obtuse?