Answer:
-5
Step-by-step explanation:
Answer:
78 feet
Step-by-step explanation:
<em>COmplete Question is in attached image.</em>
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Eric will want to buy fencing that is sum of perimeter of the square border outside and hexagon inside.
Perimeter is the sum of all sides.
Perimeter of hexagon is sum of 6 sides.
Each side is 5, so
Perimeter of Hexagon = 5 + 5 + 5 + 5 +5 +5 = 30
Now,
Perimeter of Square is sum of all 4 sides measuring 12 each, so
Perimeter of Square = 12 + 12 + 12 + 12 = 48
Total amount of fencing needed = 30 + 48 = 78
To find the population after a year, you can multiply 4.5x10⁸ by 1.05, as it increases by 5% per year (1.05=1+5%). To find the population after five years, you have to multiply 4.5x10⁸ by 1.05 five times.
4.5x10⁸(1.05)⁵
=574326703.125
Since you can't have a decimal amount of people, you round this number to 574326703.
Therefore, the population after five years is going to be about 574326703.
Answer:
10. x= 10 y=sqrt 200
11. x=y=450
12. x=19 y=sqrt 1083
13. x=sqrt 48 y=sqrt 12
Step-by-step explanation:
10.
x and 10 are the same
10^2+10^2=200
sqrt 200 is not a whole number so y is just sqrt 200
11.
30^2=2x^2 because x and y are the same
x^2=450
sqrt 450 is not a whole number so x and y are just sqrt 450
12.
x= 38 divided by 2=19
38^2=19^2+y^2
1444=361+y^2
y^2=1083
sqrt 1083 is not a whole number so y is just sqrt 1083
13.
x^2=(x/2)^2+36=x^2/4+36
x^2=48
sqrt 48 is not a whole number so x is just sqrt 48
y is half of x so it is sqrt 12
Answer:
The discriminant is 0.
Step-by-step explanation:
we know that
In a quadratic equation of the form
The discriminant is equal to
If D=0 -----> The equation has only one real solution
If D>0 ----> The equation has two real solutions
If D<0 ----> The equation has complex solutions
In this problem
If the equation has only one intercept (x=6)
then
The equation has only one real solution
therefore
The discriminant is 0.