Hello!
We can solve this algebraically
2x + 5 = 3 + 2(x+1)
Distribute the 2
2x + 5 = 3 + 2x + 2
combine like terms
2x + 5 = 2x + 5
Since both sides of the equation is the same all values of x make the equation true
The answer is A
Hope this helps!
Answer:
Approximately 7 cm
Step-by-step explanation:
Angle opposite to the required length:
180 - 90 - 43 = 47°
X/sin47 = 6.5/sin43
X = sin47 × 6.5/sin43
X = 6.970396615
10x - 7y = -1....multiply by -1 to make that -7y positive
-2x - 7y = -25
------------------
-10x + 7y = 1 (result of multiplying by -1)
-2x - 7y = -25
-----------------add
-12x = - 24
x = 2
-2x - 7y = -25
-2(2) - 7y = -25
-4 - 7y = -25
-7y = - 25 + 4
-7y = - 21
y = 3
solution is : (2,3)
Answer:

Step-by-step explanation:
we have the sequence

we know that
In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant and this term is called a common difference
Let

we know that
----> 
----> 
The common difference is 2
This is an arithmetic sequence
The general formula for an arithmetic sequence is

where
d is the common difference
n is the number of terms
substitute the given values



^^^^^Simplify
Estimate
Step 1: Estimate the square root of 2:
1.4x1.4=1.96
1.41x1.41=1.9881
1.42x1.42=2.0164
1.9881 is closer to 2 than 2.0164
Square root of 2 is about 1.41
Step 2: Multiply the answer in step 1 by 8
1.41x8=11.28
8 times square of 2 is about 11.28
Square root of 128 is about 11.28
If you put square root of 128 in a calculator it would say 11.31 something...