Answer:
x = (5/3 , 7)
Step-by-step explanation:
For it to be a solution, it has to satisfy both inequalities...
subbing in (-4,-1)
2x + y < -5 -x + y > 0
2(-4) - 1 < - 5 -(-4) - 1 > 0
-8 - 1 < -5 4 - 1 > 0
-9 < -5.....true 3 > 0....true
solution is (-4,-1)
Answer:
A-100
Step-by-step explanation:
Use the Pythagorean therom.
a^2+b^2=c^2
6^2+8^2=c^2
36+64=100.
Hope this helps. Kinda confused me.
Answer:
The even numbers between 0 and X represents an arithmetic sequence with a common difference of 2
The rule of arithmetic sequence = a + d(n - 1)
Where a is the first term and n is the number of terms
So, for the even numbers between 0 and X
The first term = a = 0
d = 2
So, we need to find n at the last term which is X
∴ X = 0 + 2 ( n -1 )
∴ n - 1 = X/2
∴ n = X/2 + 1
The sum of the arithmetic sequence = (n/2) × (2a + (n−1)d)
Substitute with a and d and X
So, the sum = (n/2) * (2*0 + (n−1)*2)
= (n/2) * ((n−1)*2)
= n(n-1)
= (X/2 + 1) * (X/2)
= X/2 by (X/2 + 1)
So, The quick way to add all even numbers between 0 and X always works.
2 less than (3 times a number) is the same as (the number plus 10)
2 less than (3*x) = (x + 10)
3x - 2 = x + 10
From here, you solve! :)
3x - 2 - x = x + 10 - x
2x - 2 = 10
2x - 2 + 2 = 10 + 2
2x = 12
2x / 2 = 12 / 2
x = 6
Hope this helps! :)
