Answer:
The constant in the algebraic expression to represent the pattern below is 4.
Step-by-step explanation:
Imortant Tip:
- An Arithmetic sequence has a constant difference 'd' which can be determined by computing the differences of all the adjacent terms
Given the pattern

computing the differences of all the adjacent terms

The difference between all the adjacent terms of the pattern is the same which is

Hence, the given pattern represents the Arithmetic sequence.
Therefore, the constant in the algebraic expression to represent the pattern below is 4.
Answer:
x=24
Step-by-step explanation:
Since line A and B are parallel, 3x+7 is equivalent to Angle 6 as they are corresponding angles.
We also know that 4x+5+Angle 6 = 180 as they are a linear pair. We can use substitution and substitute 3x+7 for Angle 6...
4x+5+3x+7=180
7x+12=180
7x=168
x=24
Answer:
Round the 540 to 500 for ease, if you need 100k and have 500 every ten mins, just cross multiply the equation
Step-by-step explanation:
So some quick tips for inequalities:
**What you do to one side you HAVE TO do it to the other 2**
**If you ever divide a negative number past the inequality signs, the signs FLIP!!**
(e.g. 2>-5x>25)
-2/5 <x < -5
I hope that this has helped!
We are given
First equation:

we can use formula

slope is m=1
y-intercept is b=-1
Second equation:

we can use formula

slope is m=-2
y-intercept is b=5
Graph:
We can see that
both curves intersect at (2,1)
so, solution is x=2 and y=1.................Answer