Answer:
-1/20
Step-by-step explanation:
2(3/8) - 4/5
6/8 - 4/5
30/40 - 32/40
-2/40
-1/20
Answer:
4.5
Step-by-step explanation:
The formula for solving area in parallelograms is base x height.
The base is 2.5 and the height is 1.8
2.5x1.8=4.5
28/81 is less than 7/9
28/81 is less than 4/9
The common denominator is 81, so you say 9 can go into 81 nine times, so you multiply 9 by the numerator, so 7/9 is now 63/81 an 4/9 is now 36/81
Given a quadratic equation
, we define the discriminant as

The number of real solutions of the equation depend on the sign of
:
- If
the equation has two solutions - If
the equation has one double solution - If
the equation has no real solutions
In this case, we have

And so this equation has no real solutions.
Answer:
x = 1
y = -3
Step-by-step explanation:
cos(pi) = -1
so many ways :
sqrt(0.5/2) = sqrt(0.5/2 × 8/8) = sqrt(4/16)
= sqrt(0.5/2 × 18/18) = sqrt(9/36)
= sqrt(1/4) = 1/2
"nicest" approach (all integers) :
3x² = sqrt(9)
3x² = 3
x² = 3/3 = 1
x = 1
2y = sqrt(36)
2y = 6
y = 6/2 = 3
one of them has to be negative (because cos(pi) = -1), so it has to be y, because 3x² cannot be negative with real numbers.
so, y = -3
-1 × 3×1²/(2×-3) = sqrt(0.5/2) = 1/2
-1 × 3/-6 = 1/2
3/6 = 1/2
1/2 = 1/2
correct