Write the quadratic equation whose roots are -6 and -1, and whose leading coefficient is 2.

Y= 2x^2+14x+12

Explaination:

When it gives you the roots you can automatically change the sign and put them with the x in factors such as

y = (x+6)(x+1)

Then you put the leading coefficient of 2

y = 2(x+6)(x+1)

Then to get it in standard form you distribute the parenthesis the the 2 to get:

Y= 2x^2+2x+12x+12

Combine like terms and you'll answer will be

Y= 2x^2+14x+12

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)