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3 years ago

Simplify the expression

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

6 0

The Answer Is 1/512

Hope This Help's

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Complete the following exercises by applying polynomial identities to complex numbers. Factor x2 + 64. Check your work. Factor 1

Mumz [18]

$x^2+64=x^2-(8i)^2=(x-8i)(x+8i)$

$16x^2+49=(4x)^2-(7i)^2=(4x-7i)(4x+7i)$

$(x+9i)^2=x^2+2x\cdot9i+(9i)^2=x^2+18xi+81i^2=x^2+18xi-81=x^2-81+18xi$

$(x-2i)^2=x^2-2x\cdot2i+(2i)^2=x^2-4xi+4i^2=x^2-4xi-4=x^2-4-4xi$

$(x+(3+5i))^2=x^2+2x(3+5i)+(3+5i)^2\\\\=x^2+6x+10xi+3^2+2\cdot3\cdot5i+(5i)^2\\\\=x^2+6x+10xi+9+30i+25i^2=x^2+6x+10xi+9+30i-25\\\\=x^2+6x+10xi+30i-16=x^2+6x-16+(10x+30)i$

$Used:\\i^2=-1\\\\a^2-b^2=(a-b)(a+b)\\\\(a+b)^2=a^2+2ab+b^2$

4 0

3 years ago

Read 2 more answers

The Frostburg-Truth bus travels on a straight road from Frostburg Mall to Sojourner Truth Park. The mall is 3 miles west and 2 m

Verizon [17]

To start, write your locations as points, with north and south being positive and negative y respectively and east and west being positive and negative x respectively. Doing this gives us the mall at (-3,-2) and the park at (4,5). Now, we use our distance formula $( \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } )$ to solve for the unknown distance. Plugging in with the park values as our second values and our mall values as our first values (as well as with our unknown distance as d), we get $d= \sqrt{(4-(-3))^2+(5-(-2))^2} = \sqrt{(7)^2+(7)^2} = \sqrt{49+49} = \sqrt{98}$ . This square root can be rounded to 9.9 miles.

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4 years ago

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tia_tia [17]

In great east japan a tsunami happened

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3 years ago

6. Which equation or inequality represents the following description? & Multiply the quantity 2 more than a number by 8. The

Rama09 [41]

Answer:C it’s bc it says at least 12 time the number subtracted from 76

Step-by-step explanation:

If it’s wrong sry if your gonna be mean to me just work it by your self don’t use brainly

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3 years ago

After *triangle* ACE is dilated by a factor of 5, It has an area of 100 square inches. What was its area before dilation?

Anarel [89]

<h3>Answer: 4 square inches</h3>

Explanation:

Square the linear scale factor to get 5^2 = 25

This means that,

new area = 25*(old area)

We take this idea in reverse to find the old area

old area = (new area)/25

old area = (100 sq inches)/25

old area = 4 square inches

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3 years ago