Choose the answer that correctly explains the geometric representation ofmultiplying a complex number by -1+i. A. -1 + i has a modulus of 2 and an argument of 45°, so multiplying a complex number by -1 + i will dilate the complex number by a scale factor of 2 and rotate it 45° counterclockwise.
B. -1 + i has a modulus of V2 and an argument of 135°, so multiplying a complex number by –1 + i will dilate it by a scale factor of V2 and rotate it 135º counterclockwise.
C. Multiplying a complex number by -1 + i will rotate it 180°, but there will be no dilation
D. Multiplying a complex number by –1 + i will rotate it 180° and translate it square root of 2 units to the right

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

the answer is 62.8 cubic units

46

step-by-step explanation:

given

height = 168 cm

formula

height =2.47*f+54.13

solution

168 = 2.47f + 54.13             subtract 54.13 from both sides

168 - 54.13   = 2.47f             combine

113.87 = 2.47f                     divide by 2.47

113.87 / 2.47 = f                   combine

46.1 = f  

answer: 46 cm

3 ft is your answer