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3 years ago

R2+2r-33=0 solve by completing the square

1 answer:

8 0

R^2+2r-33=0 move constant to other side by adding 33 to both sides

r^2+2r=33 halve the linear coefficient, square it and add to both sides, in this case it is just one

r^2+2r+1=34 now the left side is a perfect square...

(r+1)^2=34 take the square root of both sides...

r+1=34^(1/2) subtract 1 from both sides

r=-1+34^(1/2) and -1-34^(1/2)

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Mixed numbers from 6 to 7 with an interval of 1/5 between each pair of mixed numbers

Hitman42 [59]

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3 years ago

Given the coordinates below, what is the midpoint of AB? A(-6, -10) B(2,5)

madreJ [45]

Given :

$\:$

A(-6, -10)
B( 2, 5)

$\:$

$\gray{ \frak{The \: given \: two \: \: points \: are(x_{1 },y_{1})=(−6 , -10)and(x_{ 2 },y_{2} )=( 2,5 )\:}}$

$\:$

Let's solve by using midpoint formula :

$\:$

$\bf \boxed{\color{red}\frak{Midpoint \: \: Formula : {( \: x ,\:y \: ) = }( \frak{ \frac{x_{1 } + y_{1}}{2} , \frac{x_{2 } + y_{2}}{2} )}}}$

$\:$

$\large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \frac{ -6 + 2}{2} , \frac{ - 10 + 5}{2} )}}$

$\:$

$\: \large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \frac{ -4}{2} , \frac{ - 5}{2} )}}$

$\:$

$\large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \cancel\frac{ -4}{2} , \cancel\frac{ - 5}{2} )}}$

$\: \:$

$\underline{ \boxed{ \large \red{ \frak{option \: d }( \frak{ - 2, - 2.5)}}}}✓$

Hope Helps! :)

6 0

2 years ago

Write down in terms of n,

mojhsa [17]

A) is counting down by 3
B) is counting up by 5

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3 years ago

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Dmitriy789 [7]

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3 0

3 years ago

What are the dimensions of a rectangular box with a volume of 50b 3 + 75b2 - 2b - 3?

Inessa [10]

Answer:

$\large\boxed{(2b+3)\times(5b-1)\times(5b+1)}$

Step-by-step explanation:

The formula of a volume of a rectangular box:

$V=lwh$

l - lenght

w - width

h - height

$V=50b^3+75b^2-2b-3=25b^2(2b+3)-1(2b+3)\\\\=(2b+3)(25b^2-1)=(2b+3)(5^2b^2-1^2)\\\\=(2b+3)\bigg((5b)^2-1^2\bigg)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(2b+3)(5b-1)(5b+1)$

Therefore the dinemsions of thisp prism are:

$(2b+3)\times(5b-1)\times(5b+1)$

5 0

2 years ago

Read 2 more answers