Answer:
Step-by-step explanation:
Prove: That the sum of the squares of 4 consecutive integers is an even integer.
An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.
Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;
= 25
= 36
= 49
= 64
The sum of the squares = 25 + 36 + 49 + 64
= 174
Also,
Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;
= 100
= 121
= 144
= 169
The sum of the squares = 100 + 121 + 144 + 169
= 534
Therefore, the sum of the squares of 4 consecutive integers is an even integer.
Answer:
29/61
Step-by-step explanation:
okay, first imma simplify the question a little bit.
122 students; 46 chose football; 18 chose tennis; 28girls + xboys chose running.
okay now let's find the number of students who chose running
122 - 46 - 18 = 58
now, I'll find the probability
P(Running) = 58/122 = 29/61
Topic: Probability
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1/2 because that's a half and I know this one lol by my heart
Answer:
B. 1
Because of the shape you can have only one line of symmetry
You'd solve it like this
6y-3 (4/3y-2)
6y-4y+6 (use the distributive property and multiply all the numbers inside the parentheses by -3)
2y+6 (add like terms)
That's pretty much it
