The discriminant of y=ax^2+bx+c is b^2-4ac
given
9x^2+10x+0
a=9
b=10
c=0
discriminant=10^2-4(9)(0)=100-0=100
the discriminant is 100
Answer:
4/7
Step-by-step explanation:
5/7 x (1/5+3/5) = 5/7 x 4/5 = 4/7
Here,
let width(b)be x then,
length (l)=9cm+x
area =112 sq cm
now,
area of rectangle=l*b
or, 112=(9+x)x
or, 112=9x+x^2
or, 0=x^2+9x-112
or, 0=x^2+(16-7)x-112
or, 0=x^2+16x-7x-112
or, 0=x(x+16)-7(x+16)
or, 0=(x-7)(x+16)
either,
0=x-7
or,7=x
x=7cm
Or,
0=x+16
or, -16=x
x= -16[impossible,as distance is never negative] so,
x=7cm
therefore,length = 7cm + 9 cm = 16cm and width = 7cm.
;)
When the football is 81 feet high, it will be √ 3 / 8 seconds
<h3>Function</h3>
Function relates input to output. Therefore,
Therefore,
t = number of seconds
h(t) = - 16t² + 75
h(t) = 81 ft
Therefore,
81 = - 16t² + 75
- 16t² = 81 - 75
- 16t² = 6
divide both sides by -16
t² = 6 / -16
t² = - 3 / 8
square root both sides
t = √ 3 / 8 seconds
learn more on function here: brainly.com/question/4418459
x^2 -12x +11
We have the x intercepts so we can create the equation (x-1)(x-11). Multiply it and you get your answer