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3 years ago

The slope of any line perpendicular to AB , where A(0, -3) and B(4, 9) are two points on the line, is m =

Mathematics

1 answer:

rjkz [21]3 years ago

5 0

Are you missing an option? The answer should be -2/3 (I just calculated it numerous times)

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0 ) Dan bought 7 new baseball trading cards to add to his collection. The next

harina [27]

Dan started with 69 cards

Step-by-step explanation:

Let x be the initial number of cards

Then

According to "Dan bought 7 new baseball trading cards to add to his collection"

$x+7$

The next day his dog ate half of his collection.

$\frac{1}{2}(x+7)$

There are now only 38 cards left.

$\frac{1}{2} (x+7) = 38$

Multiplying both sides by 2

$x+ 7 = 38*2\\x+7 = 76$

Subtracting 7 from both sides

$x+7-7 = 76-7\\x = 69$

Hence,

Dan started with 69 cards

Keywords: Linear equation, word problems

Learn more about linear equations at:

#LearnwithBrainly

4 0

3 years ago

Find lim x→3 sqrt 2x+3-sqrt 3x/ x^2-3x. you must show your work or explain your work in words plsss I need help

sineoko [7]

I'm assuming the limit is supposed to be

$\displaystyle\lim_{x\to3}\frac{\sqrt{2x+3}-\sqrt{3x}}{x^2-3x}$

Multiply the numerator by its conjugate, and do the same with the denominator:

$\left(\sqrt{2x+3}-\sqrt{3x}\right)\left(\sqrt{2x+3}+\sqrt{3x}\right)=\left(\sqrt{2x+3}\right)^2-\left(\sqrt{3x}\right)^2=-(x-3)$

so that in the limit, we have

$\displaystyle\lim_{x\to3}\frac{-(x-3)}{(x^2-3x)\left(\sqrt{2x+3}+\sqrt{3x}\right)}$

Factorize the first term in the denominator as

$x^2-3x=x(x-3)$

The $x-3$ terms cancel, leaving you with

$\displaystyle\lim_{x\to3}\frac{-1}{x\left(\sqrt{2x+3}+\sqrt{3x}\right)}$

and the limand is continuous at $x=3$ , so we can substitute it to find the limit has a value of -1/18.

7 0

3 years ago

9 3/4 x 8 cummutative

Montano1993 [528]

Answer: 78

Step-by-step explanation: typed it into a calculator

8 0

3 years ago

Read 2 more answers

Need help with these two question!!??

lawyer [7]

The measure of x in both parts is: 120°

Step-by-step explanation:

Part A:

We can clearly see that the figure in part a has six equal sides. So the given figure is a hexagon.

A hexagon has six equal sides in six equal interior angles.

Sum of interior angles of hexagon is 720°

So,

$Measure\ of\ one\ agnle=\frac{Sum\ of\ interior\ angles}{number\ of\ angles}\\=\frac{720}{6}\\=120$

Part B:

The figure is a Dodecagon with 12 sides.

The Dodecagon has 12 equal sides and angles.

The sum of internal angles of Dodecagon is 1440°

So,

$Measure\ of\ one\ angle=\frac{Sum\ of\ angles}{Number\ of\ angles}\\=\frac{1440}{12}\\=120$

The measure of x in both parts is: 120°

Keywords: Polygons, Hexagon

Learn more about polygons at:

#LearnwithBrainly

6 0

3 years ago

The number of seats in a row has been increased at a rectangular-shape movie theater after renovation so that it is now five mor

Damm [24]

Let the number of rows be = r

Let the number of seats per row be = s

we know that the number of seats is 126.

So, $s\times r=126$ ..... (1)

As given, there are five more seats per row than the number of rows, so we can say that:

$s=r+5$

Putting this in equation (1)

$(r+5)*r=126$

$r^{2}+5r=126$

$r^{2}+5r-126=0$

$r^{2}+14r-9r-126=0$

$(r+14)(r-9)=0$

r=-14 and r=9 (neglecting the negative value) we get r=9

And s=r+5

so, s =9+5=14

Hence, there are 5 rows and 14 seats per row.

4 0

3 years ago