Answer:
Other root is -95i
Step-by-step explanation:
Here, Nature of roots of f(x) is imaginary roots.
Therefore, Roots are conjugate of each other.
Conjugate of x + yi is x - yi.
we get conjugate of 95i as -95i
Verification shows....
(x-95)(x+95i)=0
this, roots are -95i and 95i
Answer:
Step-by-step explanation:
We are told that the perimeter is 48 = 2L + 2W. This reduces to
24 = L + W. Next, substitute, one by one, the 3 widths 10 cm, 3.6 cm and w cm:
a) If W = 10 cm, 24 = L + W becomes 24 = L + 10, or L = 14 cm
b) If W = 3.6 cm, 24 = L + W becomes 24 = L + 3.6, or L = 20.6 cm
c) If W = w, 24 L + W becomes 24 = L + w, so that L = (24 - w) cm
Answer:
w = .5
Step-by-step explanation:
-4w + 18w+2=10 -6w
14w + 2 -2 = 10 -2 -6w
14w + 2w = 8 - 2w + 2w
16w = 8
16w/16 = 8/16
w = .5
X = pencils, y = pens
8x + 6y = 8.50
4x + 4y = 5.....multiply by -2
----------------
8x + 6y = 8.50
-8x - 8y = -10 (result of multiplying by -2)
-----------------add
-2y = - 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75
4x + 4y = 5
4x + 4(0.75) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 0.50 <== pencils cost 0.50
