Answer:
Step-by-step explanation:
The discriminant is what's under the square root sign in the quadratic equation. The equation for the discriminant is 
, where b is the coefficient of x, a is the coefficient of 
, and c is the number with no variable attatched to it. If we plug in the numbers (
) it gives you 241, which is the discriminant. Since 241 is more than zero, it has 2 zeros. If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.
You can solve this easily by using Pascal's Triangle (look that up if need be).
Here are the first four rows of P. Triangle:
1
1 1
1 2 1
1 3 3 1
example: expand (a+b)^3.
Look at the 4th row. Borrow and use those coefficients:
1a^3 + 3 a^2b + 3ab^2 + b^3
Now expand (4x+3y)^3:
1(4x)^3 + 3(4x)^2(3y) + 3(4x)*(3y)^2 + (3y)^3
Look at the 2nd term (above):
3(4x)^2(3y) can be re-written as 144x^2y.
The coeff of the 2nd term is 144. Note that (4)^2 = 16
Answer:
E’ is (11,-1)
Step-by-step explanation:
Here, we want to get the new coordinates of E
The translation is 4 units right ( add 4 to x-value) and 3 units down ( subtract 3 from y-value)
So for E, we have
(7 + 4, 2-3)
= (11, -1)
