The perimeter is equal to 2(width) + 2(length). let's call the width w and the length L.
so 32 = 2w + 2L
the width is given as 2 meters less than the length, so w = L - 2
32 = 2(L - 2) + 2L
32 = 2L - 4 + 2L
32 = 4L - 4
36 = 4L
9 = L
so our length is 9 meters.
w = L - 2
w = 9 - 2
w = 7
so our width is 7 meters.
Answer:
1/12 yards
Step-by-step explanation:
5×1/6 yards = 5/6 yards
5/6 yards - 3/4 yards = 10/12 yards - 9/12 yards
= 1/12 yards
<em><u>Solution:</u></em>
Given that,
We have to find whether the above function is odd or even
If a function is: y = f(x)
If f(-x) = f(x), the function is even
If f(-x) = - f(x), the function is odd
Which is,
From given,
Replace x with -x
Therefore,
Thus the function g(x) is even
Answer:
f(x) has three real roots and two imaginary roots.
Step-by-step explanation:
Given that three roots of a fifth degree polynomial function f(x) are -2,2 and (4+i).
Now we need to find about which of the given statements describes the number and nature of all roots for this function.
We know that imaginary roots always occur in conjugate pairs.
So if (4+i) is root then (4-i) must also be the root.
So now we have total 4 roots
-2, 2, (4+i) and (4-i).
Degree of the polynomial is 5 so that means 1 root is still remaining. It can't be imaginary as that must be in pairs
So that means 5th root is real.
Hence correct choice is :
f(x) has three real roots and two imaginary roots.
