3 years ago

33/ 402 long division and check answers

Mathematics

1 answer:

Naddika [18.5K]3 years ago

3 0

12.18 that is the answer to the question

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Calculate an estimate of a square root of 119 + 120i

uysha [10]

Answer:

Step-by-step explanation:

Given

z=119+120 i

Let $\sqrt{119+120 i}=p+iq$

Squaring both sides

$119+120 i=p^2-q^2+2ipq$

Comparing real and imaginary part

Re(LHS)=Re(RHS)

$119=p^2-q^2$ -----------1

comparing Im(LHS)=Im(RHS)

120=2pq

$q=\frac{60}{p}$

Substitute q in 1

$119=p^2-(\frac{60}{p})^2$

$p^4-119p^2-(68)^2=0$

Let $x=p^2$

$x^2-119x-4624=0$

$x=frac{119\pm \sqrt{119^2+4\times 4624}}{2}$

$x=\frac{119\pm 180.71}{2}$

we take only Positive value because $p^2=x$

x=149.85

$p^2=149.85$

thus $p=\pm 12.24$

$q=\mp 4.90$

thus $\sqrt{119+120 i}=\pm (12.24+i 4.90)$

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4 years ago

Use the expression 5x + 23 to match the following vocabulary words.

yaroslaw [1]

Using the expression 5x + 23, the answers are as follows:
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Which graph shows the axis of symmetry for the function f(x) = (x - 2)2 + 1?

nadya68 [22]

Answer:

x=2

Step-by-step explanation:

axis of symmetry is

x-2=0

x=2

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