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3 years ago

|10+4x|<14 how do you solve this?

Mathematics

2 answers:

Nadya [2.5K]3 years ago

4 0

Answer: - 6 < x < 1

|10 + 4x| < 14

⇔ -14 < 10 + 4x < 14

⇔ -14 - 10 < 4x < 14 - 10

⇔ - 24 < 4x < 4

⇔ -24/4 < x < 4/4

⇔ - 6 < x < 1

Step-by-step explanation:

shutvik [7]3 years ago

3 0

Answer:

-6 < x < 1

Step-by-step explanation:

-14 < 10 + 4x < 14

Subtract 10 from both sides

-24 < 4x < 4

Divide both sides by 4

-6 < x < 1

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Read 2 more answers

<img src="https://tex.z-dn.net/?f=z%5E%7B7%7D%3D128i" id="TexFormula1" title="z^{7}=128i" alt="z^{7}=128i" align="absmiddle" cla

abruzzese [7]

If z ⁷ = 128i, then there are 7 complex numbers z that satisfy this equation.

$z^7 = 128i = 2^7i = 2^7e^{i\frac\pi2}$

$\implies z=\sqrt[7]{2^7} e^{i\frac17\left(\frac\pi2+2n\pi\right)}$

(where n = 0, 1, 2, …, 6)

$\implies z = 2 e^{i\left(\frac\pi{14}+\frac{2n\pi}7\right)}$

$\displaystyle\implies z = 2 \left(\cos\left(\frac\pi{14}+\frac{2n\pi}7\right)+i\sin\left(\frac\pi{14}+\frac{2n\pi}7\right)\right)$

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3 years ago

Some number time 3 plus 2 is the same as 6

Ber [7]

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3 years ago

Help me please help me thanks please

Tatiana [17]

Answer:

1018 cm

Step-by-step explanation:

A=piR^2

To find the radius from circumference, we divide by pi and then divide by two.

C=36pi

36pi/pi=36

36/2=18

R=18

if we plug 18 into

A=piR^2,

we get

18pi^2=A

18pi^2=1017.88

round this to get 1018

A=1018

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3 years ago