<span>4x2 +5x - 2 -x2 +3x +5
Simplified: 3x2 + 8x +3
In order to determine the difference in size, you must subtract the perimeter of the smaller rectangle from the perimeter of the larger rectangle.</span>
Answer:
the answer is 2 + i.
Step-by-step explanation:
Let the square root of 3 + 4i be x + iy.
So (x + iy) (x +iy) = 3 +4i
=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i
=> x^2 – y^2 + 2xyi = 3 + 4i
Equate the real and complex terms
=> x^2 - y^2 = 3 and 2xy = 4
2xy = 4
=> xy = 2
=> x = 2/y
Substitute in
=> x^2 - y^2 = 3
=> 4/y^2 - y^2 = 3
=> 4 – y^4 = 3y^2
=> y^4 + 3y^2 – 4 = 0
=> y^4 + 4y^2 – y^2 – 4 =0
=> y^2(y^2 + 4) – 1(y^2 + 4) =0
=> (y^2 – 1) (y^2 + 4) =0
Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.
Therefore y = 1 and x = 2/1 = 2
The required square root of 3 + 4i is 2 + i.
Answer:
25(m+3)
Step-by-step explanation:
25 is multiplied by (m+3)
'the sum of m and 3' is a quantity which must be indicated using parentheses
Answer:
x = 0 , π
Step-by-step explanation:
- Rewrite it by using the identity
- Add 4sin x to both the sides.
- Take sin x common from the expression in L.H.S.
Here , we can get two more equations to find x.
1) 
- Divide both the sides by sin x
- Substract 4 from both the sides.
2)
- Divide both the sides by (sin x + 4)
over interval [0 , 2π).
Answer:
g({4)). g(f{4)) = 144
Step-by-step explanation:
Given f(x) = x - 7 and g(x) = x^2 Find g({4)). g(f{4)) =
g(4) = 4^2 = 16
g(f(4)) = (4 - 7)^2 = 9
g({4)). g(f{4)) =16 * 9 = 144
