Answer:
20 m
Step-by-step explanation:
The width is half the length, and the perimeter is the sum of the lengths of all sides. We can write the equation of the perimeter as ...
... 60 m = L + L/2 + L + L/2
... 60 m = 3L . . . . . collect terms
... 20 m = L . . . . . . divide by 3
<span>Its standard form of equation: (x-h)^2=-4p (y-k), (h,k)=(x,y) coordinates of the vertex
</span><span>For given parabola: Vertex = (-8, 2)
(x-(-8))</span>² = -4p(y - 2)
<span>solve for 4p using coordinates of given point ( -7, -1)
-7+8 = 4p (-1 - 2)
1 = 4p(-3)
4p = -1/3
So, Equation of given parabola:
(x+8)</span>² = -(y-2) / 3
Hope this helps!
Answer:
13.0 feet
Step-by-step explanation:
The circumference of a circle is given by the formula ...
C = πd . . . . . . where d represents the diameter
Then the diameter is ...
d = C/π = 40.82 ft/π ≈ 12.9934 ft
Rounded to the nearest tenth foot, the width of the room must be 13.0 ft.
Answer:
6 books per month
Step-by-step explanation:
choose some points on the graph.
(0, 2)
(1, 6)
(2, 12)
books per month is basically change in y over the change in x or slope
12-6 divided by 2-1
6/1 = 6
Log w (x^2-6)^4
Using log a b = log a + log b, with a=w and b=(x^-6)^4:
log w (x^2-6)^4 = log w + log (x^2-6)^4
Using in the second term log a^b = b log a, with a=x^2-6 and b=4
log w (x^2-6)^4 = log w + log (x^2-6)^4 = log w + 4 log (x^2-6)
Then, the answer is:
log w (x^2-6)^4 = log w + 4 log (x^2-6)