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4 years ago

Express (1-2i) second power in the form a+bi

1 answer:

7 0

$\bf (1-2i)^2\implies (1-2i)(1-2i)\implies 1-2i-2i+(2i)^2 \\\\\\ 1-4i+(2^2i^2)\implies \stackrel{\textit{recall }i^2=-1}{1-4i+(4\cdot -1)}\implies 1-4i-4\implies \boxed{-3-4i}$

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In the diagram below, P is circumscribed about quadrilateral ABCD. what is the value of x?

dimulka [17.4K]

Answer:

A. 100

Step-by-step explanation:

Just took this quiz. Good luck!

4 0

3 years ago

Read 2 more answers

H(x)=-x^2+6x. So what is the value of h(2)

crimeas [40]

✩ Answer:

✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*

$\bold{Hello!}\\\bold{Your~answer~is~below!}$

✩ Step-by-step explanation:

✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*

✺ Quadratic polynomials can be factored using the transformation $ax^2+bx+c=a(x-x_{1})(x-x_{2} )$ , where $x_{1}$ and $x_{2}$ are the solutions of the quadratic equation $ax^2+bx+c=0$ :

$-x^2+6x=0$

✺ All equations of the form $ax^2+bx+c=0$ can be solved using the quadratic formula:

$-b=\frac{+}\\\sqrt{b^2-4ac}\\~~~~~~~~~~~~~2a$

✺ The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction:

$x=\frac{\sqrt{-6\frac{+}\\\sqrt{6^2}}}{2(-1)}$

✺ Take the square root of $6^2$ :

$x=\frac{\sqrt{-6\frac{+}\\{6}}}{2(-1)}$

✺ Multiply $2$ times $-1$ :

$x=\frac{\sqrt{-6\frac{+}\\{6}}}{-2}$

✺ Now solve the equation $x=\frac{\sqrt{-6\frac{+}\\{6}}}{-2}$ when ± is plus. Add $-6$ to $6$ :

$x=\frac{0}{-2}$

✺ Divide $0$ by $-2$ :

$x=0$

-OR-

✺ Now solve the equation $x=\frac{\sqrt{-6\frac{+}\\{6}}}{-2}$ when ± is minus. Subtract $6$ from $-6$ :

$x=\frac{-12}{-2}$

✺ Divide $-12$ by $-2$ :

$x=6$

✺ Optional : Factor the original expression using $ax^2+bx+c=a(x-x_{1})(x-x_{2} )$ . Substitute $0$ for $x_{1}$ and $6$ for $x_{2}$ :

$-x^2+6x=-x(x-6)$

✩ Answer:

✺ Factored Form: $x(x-6)$

✺ Exact Form: $x=6$

✺ Graph Point Form: $x=(6,0)$

$Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex$

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8 0

4 years ago

Floretta is out grocery shopping. She buys 7 pounds of bananas for $3.50. What is the unit rate for the bananas in $ ? pound You

I am Lyosha [343]

9514 1404 393

Answer:

$0.50 per pound

Step-by-step explanation:

To find cost per pound, divide cost by the corresponding number of pounds.

$3.50/(7 lb) = $0.50/lb

The unit rate for bananas is $0.50 per pound.

4 0

3 years ago

What is 0.6m squared to cm squared

Fofino [41]

It's 6000 cm^2
because m to cm is x100
^2 would be x10000
hope that helps :D

7 0

4 years ago

The caffeine content of a cup of home-brewed coffee is a normally distributed random variable with a mean of 115 mg and a standa

sdas [7]

Answer:

115 mg

Step-by-step explanation:

The 50th percentile has a corresponding z-score of z = 0. The z-score, for any given value of caffeine, X, is given by:

$z = \frac{X-mean}{SD}$

Therefore, if z=0, then X must be equal to the mean value of the normal distribution, which is 115 mg. Thus, the 50th percentile value of caffeine content is 115 mg.

3 0

4 years ago