<img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B4%20%5Ctimes%20%7D%20%20%7B7%7D%5E%7B2%7D%20" id="TexFormula1" title=" {3}^{4

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Goshia [24]

4 years ago

\times } {7}^{2} " alt=" {3}^{4 \times } {7}^{2} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

blagie [28]4 years ago

8 0

${3}^{4} \times {7}^{2} \\ 3 \times 7 {}^{4 + 2} \\ = {21}^{6}$

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A concrete stepping stone measures 20 square inches. What is the area of 30 such stones?

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3x+2y=-16<br> -3x-8y=46<br> Find the solution of the system of equations

Mariulka [41]

For the first one Y = -6

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5 0

3 years ago

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

6 0

4 years ago