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Mathematics

1 answer:

jeka942 years ago

7 0

Answer:

Step-by-step explanation:

$|a+bi|=\sqrt{(a+bi)(a-bi)}=\sqrt{a^2+b^2}\\\sqrt{a^2+(-6)^2}\\=\\\sqrt{100} \\=10$

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Makaila read 44 pages of her book yesterday and 2/3 of the book today. If she read a total of 200 pages in the past two days how

pogonyaev

Answer:

Total number of pages in the book is 234.

Step-by-step explanation:

Let us assume that the total number of pages in the book = x

Now, it is given that Makaila read 44 pages yesterday.

Also, Makaila read two-third of the book today. As we have assumed that, there are a total of x number of pages in the book, so we can say that Makaila read two-third of x number of pages today.

Number of pages read by Makaila today = $\frac{2}{3}\;of\;x=\frac{2}{3}\times\;x=\frac{2x}{3}$

Now, it is also given that, Makaila read a total of 200 pages in the past two days.

∴ according to question,

Pages read yesterday + Pages read today = 200

⇒ $44+\frac{22x}{3}=200$

⇒ $\frac{44\times3+2x}{3}=200$

⇒ $\frac{132+2x}{3}=200$

⇒ $132+2x=200\times3\;\;\;\;\;\;\;\;\;[On\;cross-multiplying]$

⇒ $132+2x=600$

⇒ $2x=600-132$

⇒ $2x=468$

⇒ $x=\frac{468}{2}=234$

∴ Total number of pages in the book = x = 234

6 0

3 years ago

PLEASE HELP!!! I NEED THE ANSWER SOON :)

densk [106]

$y=2x \newline y= x^{2} -3$

Substitue 2x for y in the second equation:

$2x= x^{2} -3$

Rearrange to $a x^{2} +bx+c=0$ form:

$x^{2} -2x-3=0$

Factor:

$(x-3)(x+1)=0$

Zeros are $x=3$ and $x=-1$

To find y-coordinates of pts of intersection, plug these x-values into first equation to get $y=-2$ and $y=6$