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katrin2010 [14]

2 years ago

13

Write 2.1 times 10 to the fifth power in standard form

1 answer:

Lelu [443]2 years ago

4 0

2.1 times 10 to the fifth power is 2.1 to the power of 5 (4 0's)

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audrey has 32 dimes and quarters in her piggy bank with a total value of $6.50. how many of the coins are dimes and how many are

AfilCa [17]

22 quarters= $5.50
10 dimes= $1.00

$5.50 + $1.00 = $6.50
I just did trial and error. I started with 20 quarters and made changes until it worked.

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Step-by-step explanation:

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Find a quadratic equation with roots -1, 4i and -1 - 4i

vazorg [7]

$\bf \textit{difference of squares}
\\\\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)
\\\\\\
\textit{also recall that }i^2=-1\\\\
-------------------------------\\\\
\begin{cases}
x=-1+4i\implies &x+1-4i=0\\
x=-1-4i\implies &x+1+4i=0
\end{cases}
\\\\\\
(x+1-4i)(x+1+4i)=\stackrel{y}{0}
\\\\\\\
[(x+1)~~-~~(4i)][(x+1)~~+~~(4i)]=y
\\\\\\\
[(x+1)^2~~-~~(4i)^2]=0\implies (x^2+2x+1)~-~(4^2i^2)=y
\\\\\\
(x^2+2x+1)~-~(16\cdot -1)=y\implies (x^2+2x+1)~-~(-16)=y
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x^2+2x+1~~+16=y\implies x^2+2x+17=y$

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The measures, in degrees, of the three angles of a triangle are given by 2x+1, 3x - 3, and 9x. What is the

valentinak56 [21]

Answer:

Step-by-step explanation:

27 degrees

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