For the first 60 positive integers, a = 1, n = 60, l = 60.
Sn = n/2(a + l)
s = 60/2(1 + 60) = 30(61)
For the next 60 positive integer, a = 61, n = 60, l = 120
Sum = 60/2(61 + 120) = 30(61 + 120) = 30(61) + 30(120) = s + 3600
Sum of first 120 positive integers = s + s + 3600 = 2s + 3600
Answer:
NO.
Step-by-step explanation:
If it is a right triangle then by the Inverse of the Pythagoras Theorem:
40^2 = 35^2 + 15^2
Testing:
40^2 = 1600
35^2 + 15^2 = 1225 + 225 = 1450
So the answer is NO>
Use Pythagaras theorem :-
x^2 = 1.8^2 + 2.4^2 where a is distance required
x^2 = 9
x = 3 miles Answer
Answer:
The solution is: (2, -1)
Step-by-step explanation:
First we rewrite the second system equation
→ 
Now we have the following system of equations:
To solve the system multiply the first equation by -3 and add it to the second equation
--------------------------------------
Now we substitute the value of y in the first equation and solve for x
The solution is: (2, -1)
Answer:
Your answer would be (x-4)
Step-by-step explanation:
If you follow the steps of factoring, first you need to set it up. I always start with the term with the variable first.
(x+_)(x+_)
And since we already know one of the factors, we can put that in our expression.
(x+6)(x+_)
Now remember the trick FOIL.
You multiply the FIRSTS together, then the OUTSIDES, then the INSIDES, and finally the LASTS.
To figure out our last blank we us this trick, but backwards. To get the 24 at the end of your expression x^2+2x-24 you multiply the LASTS together. So 6*_=-24. (remember the subtraction sign stays as a negative with the 24) That answer is -4
Hope that makes sense, and good luck!
