An infinite strip with a symmetric pattern is called a frieze pattern.
There are only seven possible frieze pattern.
1. Translation symmetry only.
2. Glide reflection plus translation symmetry.
3. Reflection over a horizontal line plus translation.
4. Reflection over a vertical line plus translation.
5. Rotation (a half-turn about a point on the mid line of the strip) plus translation.
6. Reflection over a vertical line plus a reflection over a horizontal line plus translation.
7. Reflection over a vertical line plus glide reflection plus translation.
Answer: 73
Step-by-step explanation:
Multiply using the FOIL method, then combine the real and imaginary parts of the expression.
73
Use the distance formula to get your answer. The distance formula is d=sqrt(x2-x1)^2+(x1-y1)^2 Once you plug your coordinates into it, you'll get your answer.
The radical equation is

.
i) We first isolate the square root, adding 5 to both sides of the equation:

ii) Here let's substitute x+6 with t. Doing so we have:

Squaring both sides, we get:

iii) Collecting the variables on the same side, and factorizing t we have:

, which yields
t=0 or t=1.
Now we solve for x in x+6=t:
x+6=0 ⇒x=-6 and x+6=1⇒x=-5.
iv) Now we check these values in the original equation

:
a)

⇒ 0=0 ; Correct.
b)

⇒ 1=1 ; Correct.
Answer: <span>x = −6 and x = −5 </span>