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lozanna [386]
3 years ago
6

Simplify the following and express in the form a+bi. (-8-i)(-8+i)

Mathematics
1 answer:
sesenic [268]3 years ago
8 0
 (-8-i)(-8+i)
=65
 (-8-i)(-8+i) is already in a+bi form of a complex number.
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A plane averaged 500 mph on a trip going east but only 350 mph on the return trip. The total flying time for both directions was
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Answer:I wish I knew

Step-by-step explanation:

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3 years ago
Solve each equation. Identify the solutions as rational or irrational numbers.
Fiesta28 [93]

\textbf{a)}\\\\~~~~~~~x(3x-4)=5\\\\\implies 3x^2 -4x = 5\\\\\implies 3x^2 -4x=5\\\\\implies x^2 - \dfrac 43 x = \dfrac 53\\ \\\implies x^2 - 2\cdot \dfrac 23 \cdot x + \left( \dfrac 23 \right)^2 - \left( \dfrac 23 \right)^2 =  \dfrac 53\\\\\implies \left(x-\dfrac  23 \right)^2 = \dfrac 53 + \dfrac 49\\\\\implies \left(x-\dfrac  23 \right)^2= \dfrac{19}{9}\\\\\implies x- \dfrac 23 =  \pm\dfrac{\sqrt{19}}3\\\\\implies x=\dfrac 23 \pm\dfrac{\sqrt{19}}3\\\\

\text{The solutions are irrational.}\\\\\\\textbf{b)}\\\\~~~~~~~(3x-2)^2 = \dfrac 14\\\\\implies 3x -2 = \pm \dfrac 12\\\\\implies  3x = 2\pm  \dfrac 12\\\\\implies x = \dfrac 23 \pm \dfrac 16\\\\ \implies x = \dfrac 56 ,~~ x =\dfrac 12 \\ \\\text{The solutions are  rational .}

6 0
2 years ago
Which list shows the values of the changes in order, from least to greatest?Stock A, Stock B, Stock C, Stock DStock B, Stock D,
VARVARA [1.3K]

Answer:

c

Step-by-step explanation:

6 0
2 years ago
In △ABC, m∠A=15°, a=9, and b=10. Find c to the nearest tenth.
nadya68 [22]

In △ABC, m∠A=15°, a=9, and b=10

We apply sine law

\frac{ sin(a)}{b} = \frac{sin(b)}{b} = \frac{sin(c)}{c}

\frac{ sin(a)}{b} = \frac{sin(b)}{b}

\frac{ sin(15)}{9} = \frac{sin(b)}{10}

\frac{sin 15}{9} * 10 = sin(b)

0.287576716 = sin(b)

b= 16.7129 degree

angle A= 15 degree, angle B = 16.71 degree

So angle C = 148.29

\frac{ sin(a)}{b} = \frac{sin(c)}{c}

\frac{ sin(15)}{9} = \frac{sin(148.29)}{c}

c= \frac{sin(148.29)}{sin(15)} *9

c= 18.28



5 0
3 years ago
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
alisha [4.7K]

Answer:

The first answer

Step-by-step explanation:

If you take 14 divided by 9 and then take 14 divided by the answer you got you get the answer 9.

-Hope this helps!-

-Please mark as brainliest!-

-Good luck!-

7 0
2 years ago
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