Answer:
Hence x = y = 2
Step-by-step explanation:
Using the SOH CAH TOA identity
Hypotenuse = 2√2
Opposite = x
theta = 45
Sin theta = opp/hyp
Sin 45 =x/2√2
1/√2 = x/2√2
x = 2√2 * 1/√2
x = 2
To get y we will use the pythagoras theorem;
(2√2)² = x² +y²
(2√2)² = 2²+y²
8 = 4 + y²
y² = 8-4
y² = 4
y = √4
y = 2
Hence x = y = 2
Answer:
See below.
Step-by-step explanation:
First, we can see that
.
Thus, for the question, we can just plug -1 in:

Saying undefined (or unbounded) will be correct.
However, note that as x approaches 2, the values of y decrease in order to get to -1. In other words,
will always be greater or equal to -1 (you can also see this from the graph). This means that as x approaches 2, f(x) will approach -.99 then -.999 then -.9999 until it reaches -1 and then go back up. What is important is that because of this, we can determine that:

This is because for the denominator, the +1 will always be greater than the f(x). This makes this increase towards positive infinity. Note that limits want the values of the function as it approaches it, not at it.
Is she the family member on the others family side or is it like harder
Answer:
6
Step-by-step explanation:
We know that the area of a circle is equal to 
.
A semi-circle is a half-circle, meaning that it will have half of the area of a full circle.
Therefore, a semi-circle's area is equivalent to
.
Set this equation equal to 18
.
Solve for r.
We then find that r = 6.
Now, we need to find the circumference. We know that the equation for the circumference of a circle is 2
r. Since we only need the perimeter of half of a circle, our circumference equation will equal
r.
Plug 6 in for r.
The perimeter of the garden is equal to 6
.