Find the perimeter of a picture first.
width = 7 1/2 = 15/2 in
length = 8 in
perimeter = 2(width) + 2(length)
p = 2(15/2) + 2(8)
p = 15 + 16
p = 31 in
next, find the perimeter of border.
p = 4(1 1/4)
p = 4(5/4)
p = 5 in
perimeter of picture with border = 31 + 5 = 36 in
Answer:
discriminant=0
Number of real solutions=1
Step-by-step explanation:
Given the equation:
-9x^2-6x-1=0
Let a: coefficient of x^2
Let b: coefficient of x
Let c: constant
a=-9
b=-6
c=-1
The formula of the discriminant is given by:
discriminant= b^2 - 4ac
discriminant= (-6)^2 - 4(-9)(-1)
= 36 - 36 = 0
We know that:
If discriminant<0 then the equation has no real root
If discriminant=0 the equation has one real root
If discriminant>0 the equation has 2 real roots
Here we got discriminant=0 so the quadratic equation has 1 real root.
If you know the derivative 
of some function 
, you can tell exactly who is, up to an additive, constant term. In fact, knowing , you have
In your case, we have
So, the integral is almost immediate:
So, up to some constant additive term, our function is 
To fix this constant, we know that the function passes through the point (6,10), so we have
And so our function is 
If we want to know when this function equals 6, we simply have to ask 
and solve for x, so we have
Double the number like 2 x5 would be 5+5
