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 :)
There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. (p [ ] 835
> < ≤ ≥
P≥835
Answer:
Always
Step-by-step explanation:
if two points lie in a plane, then the entire line containing those points lies in that plane
45/9 or 45 divided by 9 is equal to 5 because
9 times 5 is equal to 45.