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Sonja [21]
3 years ago
6

Frank hikes 2.25 miles in 1/2 an hour. What is his rate in miles per hour?

Mathematics
1 answer:
Valentin [98]3 years ago
5 0

4.50 MPH

because 2.25 times 2 is 4.50

and it is 1/2 an hour

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PLEASE HELP ILL GIVE BRAINLIEST
dusya [7]

1)

(-2+\sqrt{-5})^2\implies (-2+\sqrt{-1\cdot 5})^2\implies (-2+\sqrt{-1}\sqrt{5})^2\implies (-2+i\sqrt{5})^2 \\\\\\ (-2+i\sqrt{5})(-2+i\sqrt{5})\implies +4-2i\sqrt{5}-2i\sqrt{5}+(i\sqrt{5})^2 \\\\\\ 4-4i\sqrt{5}+[i^2(\sqrt{5})^2]\implies 4-4i\sqrt{5}+[-1\cdot 5] \\\\\\ 4-4i\sqrt{5}-5\implies -1-4i\sqrt{5}

3)

let's recall that the conjugate of any pair a + b is simply the same pair with a different sign, namely a - b and the reverse is also true, let's also recall that i² = -1.

\cfrac{6-7i}{1-2i}\implies \stackrel{\textit{multiplying both sides by the denominator's conjugate}}{\cfrac{6-7i}{1-2i}\cdot \cfrac{1+2i}{1+2i}\implies \cfrac{(6-7i)(1+2i)}{\underset{\textit{difference of squares}}{(1-2i)(1+2i)}}} \\\\\\ \cfrac{(6-7i)(1+2i)}{1^2-(2i)^2}\implies \cfrac{6-12i-7i-14i^2}{1-(2^2i^2)}\implies \cfrac{6-19i-14(-1)}{1-[4(-1)]} \\\\\\ \cfrac{6-19i+14}{1-(-4)}\implies \cfrac{20-19i}{1+4}\implies \cfrac{20-19i}{5}\implies \cfrac{20}{5}-\cfrac{19i}{5}\implies 4-\cfrac{19i}{5}

7 0
3 years ago
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aleksandrvk [35]

Answer:

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Step-by-step explanation:

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3 years ago
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KengaRu [80]

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3 years ago
Find the inverse g(x)=x/5-6
STALIN [3.7K]
Interpreted: g(x) = \frac{x}{5} - 6
Let y = g(x)
y = \frac{x}{5} - 6
x = \frac{y}{5} - 6 (Interchange the x and y-values)

\frac{y}{5} = x + 6 (Solve for y)
y = 5(x + 6)

\therefore g^{-1}(x) = 5(x + 6)
4 0
3 years ago
I am only in my first year of 12th grade.
pickupchik [31]

Answer:

x=1

Step-by-step explanation:

the line is one unit up from the x axis

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