Answer:
Numbers get larger as you move right and smaller as you move left along the line. This means that: any number is greater than any number to its left. any number is less than any number to its right.
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
∑[i=1,5] 4i = 4·1 + 4·2 + 4·3 + 4·4 + 4·5
= 4 + 8 + 12 + 16 + 20
= 60
Answer:
This is a triangle prism
Step-by-step explanation:
It definitely can't be rectangle, parallelogram, or trapezoid
Answer:
Step-by-step explanation:
The most general form of this, without seeing any of the options, would be:
Again, there might have been a value outside the parenthesis that may or may not have been negative, but either way, this is the most basic translation of the parabola.
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 :)
