3 years ago

Let z = 9 – 2i and zw = 25 70i. What is w? 1 8i 1 – 8i –1 8i –1 – 8i.

Mathematics

1 answer:

BartSMP [9]3 years ago

7 0

Answer: A. 1+8i

Step-by-step explanation:

edge

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Delvig [45]

Answer:

D) 20⁰

Step-by-step explanation:

EDF = 180-100=80⁰

EFD= 80⁰+80⁰=160⁰

180⁰-160⁰=20⁰

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3 years ago

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A rectangle of perimeter 74 cm is 7cm longer than it is wide. what is the length of each side?

Mumz [18]

I assume that you mean: the length is 7cm more than the width, and the perimeter is 74 cm.

If so, we can write down the following system, where l and w represent, respectively, the length and the width:

$\begin{cases}l=w+7\\2(l+w)=74\end{cases} \iff \begin{cases}l=w+7\\l+w=37\end{cases} \iff \begin{cases}l=w+7\\(w+7)+w=37\end{cases}$

We can easily solve the second equation:

$(w+7)+w=37 \iff 2w+7=37 \iff 2w=30 \iff w=15$

And finally solve for the length:

$l=w+7=15+7=22$

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4 years ago

Write the quadratic function in vertex form: f(x) = 4x2 + 2x -5

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Please use " ^ " to denote exponentiation: f(x) = 4x^2 + 2x -5. To find the vertex form of this equation, complete the square:

f(x) = 4x^2 + 2x - 5
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= 4(x^2 + (1/2)x ) -5
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Here h= -1/4 and k = -21/4. The vertex is at (-1/4, -21/4)

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Step-by-step explanation:

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