Answer:
31,250 ft²
Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the ends of the rectangle will have dimesion (500-x)/2, and the total area will be ...
... A = x(500-x)/2
This function describes a parabola with zeros at x=0 and x=500. The vertex (maximum) will be located halfway between these, at x=250.
The maximum size pen has area ...
... A = 250(500 -250)/2 = 31,250 . . . . sq ft
Step-by-step explanation:
the diameter of a circle is simply 2×radius.
2×15.4 = 30.8 m
the diameter is 30.8 m is true.
the circumference of a circle is
2×pi×radius
2×pi×15.4 = 30.8×pi m
the circumference is 30.8pi m is true.
therefore, the circumference can be found using
2(pi)(15.4)
is true.
now, doing the pi multiplication :
30.8 × pi = 96.76105373... m
the approximate circumference is 96.7 m is true.
6 diameters would be
30.8×6 = 184.8 m
that is much longer than the circumference.
so, more than 6 diameters could be wrapped around the circle is false, if we understand it that this is supposed to wrap the circle once without any overhanging remainder.
#3 describes an isosceles triangle.
#5 describes an equilateral triangle.
#7 describes a right triangle.
We are given polynomial: 
.
We need to explain why the binomial (x + 2) IS a factor of this polynomial expression and why the binomial (x + 1) IS NOT a factor of this polynomial expression.
Let us set first factor equal to 0 and solve for x.
x+2=0
x=-2.
Plugging x=-2 in given polynomial, we get
<em>Because x=-2 gives 0 on plugging in given polynomial, so it's factor of given polynomial expression.</em>
Now, let us check second factor x+1=0
x=-1.
Plugging x=-1 in given polynomial, we get
=-5+8+7-6.
= -4.
<em>Because x=-1 doesn't gives 0 on plugging in given polynomial, so it's not a factor of given polynomial expression.</em>
Answer:
s=5+3w independent variable is 5+3w. Dependent variable is s, since the total depends on the amount of weeks plus the 5 seashells from the start. s=5+4(3)=17 s=5+5(3)=20 s=5+6(3)=23 s=5+7(3)=26 s=5+8(3)=29 s=5+9(3)=32 s=5+10(3)=35
Step-by-step explanation:
