Answer:
Here, , hence the quadratic equation has two distinct real roots.
Step-by-step explanation:
Given quadratic equation is .
Let, the quadratic equation is [where, are the constants]
The Discriminant
Case : , if the discriminant is greater than , it means the quadratic equation has two real distinct roots.
Case : , if the discriminant is less than , it means the quadratic equation has no real roots.
Case : , if the discriminants is equal to , it means the quadratic equation has two real identical roots.
Now,
we have , where
∴
Here, , hence the quadratic equation has two distinct real roots.
Answer:
Tanya is 20 years old
Step-by-step explanation:
Let the age of Vera = x years
The age of Linda is twice the age of Vera = 2x years
Tanya is four less than four times the age of Linda = 4(2x)-4 = 8x-4
Total age of Vera, Linda and Tanya is:
x+2x+8x-4
Combine the like terms:
11x-4
But now their total age is two more than nine times the age of Vera:
11x-4 = 9x+2
Solve the expression
Combine the like terms:
11x-9x=2+4
2x=6
Divide both the sides by 2
2x/2 = 6/2
x= 3
Thus the age of Vera is 3 years.
The age of Linda is 2x= 2*3 = 6 years
The age of Tanya is 8x-4 = 8*3 - 4 = 24-4 = 20years....
Answer:
join the two points
Step-by-step explanation:
(x,y) = (1,3)
(just by substituting the number into the equation to make it fit)
then, also draw a point at (0.-1)
X= 1
-----------
2
One half.
Have a wonderful day.
Answer:
Step-by-step explanation:
<em>The options are not given; but, the question is still solvable</em>
Given
Required
Determine the value of 3 diameters
This is calculated as follows:
<em>Hence, 3 diameters is 40.5 inches</em>