X = 5/6.
The square of 3x+1 is written as (3x+1)². The square of x-2 is (x-2)². Using the information given to us, we want to solve the equation
(3x+1)²=9(x-2)²
(3x+1)(3x+1)=9(x-2)(x-2)
Multiplying the first two binomials, we have:
3x*3x + 1*3x + 1*3x + 1*1 = 9(x-2)(x-2)
9x²+3x+3x+1 = 9(x-2)(x-2)
9x²+6x+1 = 9(x-2)(x-2)
Multiplying the second two binomials, we have:
9x²+6x+1 = 9(x*x-2*x-2*x-2(-2))
9x²+6x+1 = 9(x²-2x-2x+4)
9x²+6x+1 = 9(x²-4x+4)
Using the distributive property gives us
9x²+6x+1 = 9*x²-9*4x+9*4
9x²+6x+1 = 9x²-36x+36
Subtracting 9x² from both sides leaves us
6x+1 = -36x + 36
Adding 36x to both sides we get
42x+1 = 36
Subtracting 1 from both sides we have
42x = 35
Divide both sides by 42:
42x/42 = 35/42
x = 35/42 = 5/6
Hypothesis = it is july
conclusion = it is hot
Answer:
x = 26
Step-by-step explanation:
Alternate exterior angles are always congruent
3x - 8 = 70
Add 8 to both sides;
3x = 78
Divide both sides by 3;
x = 26
Answer:
15
Step-by-step explanation:
jamestown really began in 1606 in may and columbos reached america in 1497
well i think the answer is 4
i think the expression is supposed to be 4(3x+10)