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frutty [35]
3 years ago
7

Simplify the expression square root of -1 over (3+8i) - (2+5i)

Mathematics
1 answer:
Lynna [10]3 years ago
8 0

\frac{i}{(3 \:  +  \: 8i) \:  -  \: (2 \:  +  \: 5i)}  \:  =  \:  \frac{i}{1 \:  +  \: 3i}  \:  =  \:  \frac{i}{1 \:  +  \: 3 i}  \:  \times  \:  \frac{1 \:  -  \: 3i}{1 \:  -  \: 3i}  \:  =  \:  \frac{i \:  +  \: 3}{1 \:  +  \: 9}  \:  =  \:  \frac{3 \:  +  \: i}{10}A) (3 + i)/10
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If a fire engine is traveling down the interstate driving 55 mph and reaches the reported vehicle fire 13 minutes, approximately
sashaice [31]

Answer:

\large \boxed{\text{12 mi}}

Step-by-step explanation:

1. Convert miles per hour to miles per minute

\text{Speed} =\dfrac{\text{55 mi}}{\text{1 h}} \times \dfrac{\text{1 h}}{\text{60 min}}= \text{0.917 mi/min}

2. Calculate the distance

Distance = speed × time

d = \text{13 min} \times \dfrac{\text{0.917 mi}}{\text{1 min}} = \textbf{12 mi}\\\text{The engine travelled about $\large \boxed{\textbf{12 mi}}$}

5 0
3 years ago
Solve the following equation.
miskamm [114]
Can you post the rest of the question please?
3 0
4 years ago
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Juanita saved 35% of the money that she needs to buy a bycicle. If she saved $98 how much money does the bycicle cost?
spayn [35]

Answer:

$280

Step-by-step explanation:

35%=$98 (to find 1%: 98/35) 1%=$2.8 100%=$280

6 0
3 years ago
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Solve for x, full steps
xxMikexx [17]

Answer:

x =34.56°

Step-by-step explanation:

adjacent/ hypotenuse =cosx

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x = cos^{-1}(14/17)

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3 years ago
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Parabola passes through the points (0,5), (1,4), and (2,5). What function does the graph represent?
AfilCa [17]

Answer:

x^2 - 2x + 5 = 0.

Step-by-step explanation:

The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as

y = ax^2 + bx + 5   where a and b are constants to be found.

Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:

a(1)^2 + 1b + 5 = 4

a(2)^2 + 2b + 5 = 5

Simplify these 2 equations:

a  + b  =  -1  .................(1)

4a + 2b = 0..................(2)

Multiply the first equation by -2:

-2a - 2b = 2 .................(3)

Add (2) + (3):

2a = 2

a = 1.

Substitute a = 1 into (2):-

4*1 + 2b = 0

2b = -4

b = -2.

7 0
4 years ago
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