Answer:
Width of parking lot=72 feet
Length of parking lot=110 feet
Step-by-step explanation:
Step 1: Derive expressions for the length and width
width=x
length=y, but 34 feet less than twice the width=2 x-34
length=2x-34
Step 2: Derive expression for perimeter
Perimeter of a rectangle is given by;
P=2(L+W)
where;
P=perimeter of rectangle
L=length
W=width
in or case;
P=364 feet
L=2x-34
W=x
replacing;
2(2x-34+x)=364
4x-68+2x=364
4x+2x=364+68
6x=432
x=432/6
x=72
Width=x=72 feet
Length=2x-34=(2×72)-34=144-34=110 feet
Answer:
36
Step-by-step explanation:
All you gotta do is 9x4 or 9+9+9+9=36
Answer:
-30x+15y+5 is the simplified answer
Answer:
See Below.
Step-by-step explanation:
By the Factor Theorem, if we divide <em>q(x)</em> into <em>p(x) </em>and the resulting remainder is 0, then <em>p(x)</em> is divisible by <em>q(x)</em> (i.e. there are no remainders).
Problem 1)
We are given:
We should find the remainder when dividing <em>p(x)</em> and <em>q(x)</em>. We can use the Polynomial Remainder Theorem. When dividing a polynomial <em>p(x)</em> by a binomial in the form of (<em>x</em> - <em>a</em>), then the remainder will be <em>p(a).</em>
Here, our divisor is (<em>x</em> + 1) or (<em>x</em> - (-1)). So, <em>a </em>= -1.
Then by the Polynomial Remainder Theorem, the remainder when performing <em>p(x)/q(x)</em> is:
The remainder is 0, satisfying the Factor Theorem. <em>p(x)</em> is indeed divisible by <em>q(x)</em>.
Problem 2)
We are given:
Again, use the PRT. In this case, <em>a</em> = 3. So:
It satisfies the Factor Theorem.
Problem 3)
We are given:
Use the PRT. In this case, <em>a</em> = 10. So:
It satisfies the Factor Theorem.
Since all three cases satisfy the Factor Theorem, <em>p(x)</em> is divisible by <em>q(x)</em> in all three instances.