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3 years ago

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%7Ba%5E%7B2%7D-9%20%7D%7Ba%7D" id="TexFormula1" title="\frac{9a^{2} }{a^{2} +6a+9} *\frac{a^{2}-9 }{a}" alt="\frac{9a^{2} }{a^{2} +6a+9} *\frac{a^{2}-9 }{a}" align="absmiddle" class="latex-formula">

2 answers:

Reika [66]3 years ago

8 0

hope this helps youuu!!!!

Oksana_A [137]3 years ago

5 0

The answer should be
(9(a^2)-27a)/(a+3)

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What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?

olga2289 [7]

Step $1$

<u>Find the slope of the given line</u>

Let

$A(-3,2)\ B(2,-1)$

slope mAB is equal to

$mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}$

Step $2$

<u>Find the slope of the line that is perpendicular to the given line</u>

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to $-1$

so

$mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}$

Step $3$

<u>Find the equation of the line with mCD and the point (3,0)</u>

we know that

the equation of the line in the form point-slope is equal to

$y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5$

Multiply by $3$ both sides

$3y=5x-15$

$5x-3y=15$

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation $5x-3y=15$

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3 years ago

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In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram?

N76 [4]

Since the definition of a parallelogram literally says that it's a quadrilateral with 2 parallel sides, we have AB || CD so the 2 other sides (AC and BD) need to be either similar or parallel (either works, due to that if they're similar we can prove that since AB || CD that they're parallel). B is our answer

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3 years ago

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In the sport competition, France won more gold medals than Italy, who won more gold medals than Korea. If the total number of

worty [1.4K]

Answer:

France = 15, Italy = 14, Korea = 13

Step-by-step explanation:

We are trying to find 3 consecutive integers whose sum is 42, then the highest integer will be France's gold medal count since they won the most, the second highest will be Italy, and the lowest integer will be Korea.

let n be the first/smallest integer, since they are consecutive, the next two integers are n+1 and n+2. Summing these, we get n + (n+1) + (n+2) = 42. Solve to get n = 13, n + 1 = 14, and n + 2 = 15

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3 years ago

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Hi please answer and you dont NEED to show work but if u do i will give brainliest

Advocard [28]

Answer:

$y=-\frac{2}{5} -1$

Step-by-step explanation:

So first thing is that slope intercept form is setup like this

y=mx+b

m=slope

b=y intercept

the slope is change in y over change in x

as y goes down 2 x goes up 5

so the slope is -2/5

the y intercept is at (0,-1) so the y intercept is -1

therefore the answer is

$y=-\frac{2}{5} -1$

have a great day :)

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3 years ago

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THIS IS DUE IN 10 MIN!!

AVprozaik [17]

The discount is 50-14 = $36

% discount = (36/50)*100 = 72%

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