Answer:
intersection is (1,5)
Step-by-step explanation:
plug one equations into the other
y=2x+3
3x+y=8
3x+2x+3=8
simplify
5x+3=8
subtract 3
5x=5
x=1
plug x into one equation
y=2+3=5
intersection is (1,5)
This is a arithmetic sequence, so all we need to do is subtract the numbers and find the common difference.
40 - 24 = 16
56 - 40 = 16
72 - 56 = 16
Therefore, the common difference is 16.
Best of Luck!
Answer:
tan(45°) = 1
Step-by-step explanation:
We know that sin (45°) = √2/2, and cos(45°) = √2/2.
Given that tan(x) = sen(x) / cos(x), we get:
tan(45°) = (√2/2) / (√2/2) = 1
Therefore, tan(45°) = 1
Attached you will find the important angles summary
Answer:
an = -8 +3(n-1)
an = -11 +3n
f(n) = -11 +3n
Step-by-step explanation:
–8, –5, –2, 1, 4, ...
This is an arithmetic sequence.
We are increasing by 3 each time
-8 +3 = -5
-5+3 = -2
-2 +3 = 1
The common difference is 3
The formula for an arithmetic sequence is
an = a1 +d (n-1)
an = -8 +3(n-1)
an = -8 +3n -3
an = -11 +3n
The nth term is -11 +3n
f(n) = -11 +3n
x is a variable. You need to find the variable to complete the equation.
ex. x = 1
x to the power of 5 (1x5x5x5x5x5)
1*x(0)=0
