<h2>
Answer:</h2>
.
<h2>
Step-by-step explanation:</h2>
<h3>1. Write the expression.</h3>

<h3>2. Substitute y for x, and x for y.</h3>

<h3>3. Solve for y.</h3>

<h3>4. Express your result.</h3>
.
Answer:
(x + 1)^2 + (y - 2)^2 = 3^2 = 9
Step-by-step explanation:
The standard equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2.
Here, h = -1, k = 2 and r = 3, so the equation of this particular circle is
(x + 1)^2 + (y - 2)^2 = 3^2 = 9.
Since g(6)=6, and both functions are continuous, we have:
![\lim_{x \to 6} [3f(x)+f(x)g(x)] = 45\\\\\lim_{x \to 6} [3f(x)+6f(x)] = 45\\\\lim_{x \to 6} [9f(x)] = 45\\\\9\cdot lim_{x \to 6} f(x) = 45\\\\lim_{x \to 6} f(x)=5](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2Bf%28x%29g%28x%29%5D%20%3D%2045%5C%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2B6f%28x%29%5D%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B9f%28x%29%5D%20%3D%2045%5C%5C%5C%5C9%5Ccdot%20lim_%7Bx%20%5Cto%206%7D%20f%28x%29%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20f%28x%29%3D5)
if a function is continuous at a point c, then

,
that is, in a c ∈ a continuous interval, f(c) and the limit of f as x approaches c are the same.
Thus, since

, f(6) = 5
Answer: 5
Answer:
Step-by-step explanation:
(-1,5) (0,2)
y2= 2, y1 = 5, x2 = 0, x1 = -1
Slope m = [y2 - y1]/[x2 - x1]
m = {2 - 5}/{0+1}
m = -3/1
m = -3
And
y - y1 = m(x - x1)
y - 5 = -3(x + 1)
y - 5 = -3x - 3
y = -3x - 3 + 5
y = -3x + 2
Answer:
a) 800 square yards
b) 7200 square feet
Step-by-step explanation:
a) 40*20= 800 square yards
b) Each yard is 3 feet.
(40*3)*(20*3)=120*60=7200 square feet