Help with 2 plllzzz

Mathematics

1 answer:

JulijaS [17]3 years ago

4 0

I don't get it either

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Find the missing term. If y = 1 + i, then y3 − 3y2 + ( ? ) − 1 = -i .

attashe74 [19]

$y=1+i\qquad\qquad i^2=-1\\\\\\
y^3-3y^2+(?)-1 =-i\\\\(1+i)^3-3\cdot(1+i)^2+(?)-1+i=0\\\\1^3+3i+3i^2+i^3-3\cdot(1^2+2i+i^2)+(?)-1+i=0\\\\
1+3i+3\cdot(-1)+i\cdot i^2-3-6i-3i^2+(?)-1+i=0\\\\
1+3i-3+i\cdot(-1)-3-6i-3\cdot(-1)+(?)-1+i=0\\\\
1+3i-3-i-3-6i+3+(?)-1+i=0\\\\
-3-3i+(?)=0\\\\(?)=3+3i\\\\(?)=3(1+i)\\\\\boxed{(?)=3y}$

8 0

3 years ago

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Factorize 9/16 x2 + xy + 4/9 y2

miskamm [114]

$\frac{9}{16} x^2 + xy + \frac{4}{9} y^2 = (\frac{3}{4} x)^{2} + xy + (\frac{2}{3}y)^{2} = (\frac{3}{4} x)^{2} + 2* \frac{3}{4} x * \frac{2}{3}y + (\frac{2}{3}y)^{2}$ $= ( \frac{3}{4}x + \frac{2}{3} y)^{2}$

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3 years ago

The depth (inches) of water that accumulates in the spring soil from melted snow can be determined by dividing the cumulative wi

nordsb [41]

Let x be the amount of winter snow that accumulates in the spring soil. The equation that represents the situation from the given above is,
x / 12 = w
where w is the depth of water. Substituting the given values,
x / 12 = 6
The value of x from the equation is 72. Therefore, the amount of winter snow is 72 inches. The answer is letter C.

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3 years ago

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Convert 42 fluid ounces to cups. Express in simplest form

MissTica

The answer is 5.25 cups and rounded it is 5 cups.

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3 years ago

The radius of a cylindrical gift box is (2x+3) inches. The height of the gift box is three times the radius. What is the surfa

Feliz [49]

The formula for surface area of a cylinder is:2 $A=2\pi rh + 2\pi r^{2}$
So, to solve this, we plug in what we know and solve
$A=2\pi (2x + 3)(3(2x + 3)) + 2\pi (2x + 3)^{2}$
$A=6\pi (4x^{2}+12x+9) + 2\pi (4x^{2}+12x+9)$
$A=24x^{2}\pi+72x\pi+54\pi + 8x^{2}\pi+24x\pi+18\pi$
$A=32x^{2}\pi+96x\pi+70\pi$
This is as far as we can go, because we do not know the value of x. If we did, we could solve for the surface area

3 0

3 years ago