Answer:
The two numbers are -5 and -4
Explanation:
Assume that the first number is x and that the second number is x+1.
We know that the sum of their squares is 41. This means that:
x² + (x+1)² = 41
We will expand the brackets and factorize to get the value of x as follows:
x² + (x+1)² = 41
x² + x² + 2x + 1 = 41
2x² + 2x + 1 - 41 = 0
2x² + 2x - 40 = 0
We can divide all terms by 2 to simplify the equation:
x² + x - 20 = 0 ..........> equation required in part II
Now, we can factorize this equation to get the values of x:
x² + x - 20 = 0
(x-4)(x+5) = 0
either x = 4 .........> rejected because we know that x should be negative
or x = -5 ...........> accepted
Based on the above calculations, the two numbers are -5 and -4
Hope this helps :)
Answer:
Upwards
Step-by-step explanation:
The general form of a quadratic is 
We can tell whether the curve opens upward or downward by the sign of "a"
If
- a is positive, the curve opens upward
- a is negative, the curve opens downward
Reaaranging the given equation:
Here, we see that a is positive, so the curve opens Upward
Answer:
Step-by-step explanation:
In a parallelogram, diagonals bisect each other.
7y - 2 = 5y + 4
7y - 2 - 5y = 4
2y - 2 = 4
2y = 4 +2
2y = 6
y = 6/2
y = 3
3x +2 = 23
3x = 23 - 2
3x = 21
x = 21/3
x = 7
The area of a parallelogram is the base times the height
9 × 5.2
and dont forget the units
