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2 years ago

7

A map has a scale of 1 cm : 9 km. If two cities are 2 centimeters apart on the map, what is the actual distance between the citi

es?

1 answer:

Angelina_Jolie [31]2 years ago

7 0

Answer:

18 kilometers

Step-by-step explanation:

If each 1 cm represents 9 kilometers.

How many would 2 cm represent?

$x = \frac{9 \times 2}{1} = 9 \times 2 = 18$

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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

ILL GIVE BRAINLIEST!!

densk [106]

Answer:

P(3 , 0)

Step-by-step explanation:

(x₁, y₁) = A(-3,-3) ;(x₂ , y₂) B(5, 1)

m : n = 3 : 1

$P \left( \dfrac{mx_{2}+nx_1}{m+n},\dfrac{my_{2}+ny_{1}}{m+n} \right)\\\\P \left (\dfrac{5*3+(-3)*1}{3+1},\dfrac{3*1+1*(-3)}{3+1} \right)\\\\\\=P \left(\dfrac{15-3}{4},\dfrac{3-3}{4} \right)\\\\\\= P \left(\dfrac{12}{4},\dfrac{0}{4} \right)\\\\\\= P\left(3 , 0 \right)$

5 0

3 years ago

Kendra sold 200 shares through her broker on June 8. The price per share was $22.10. The broker charged her a 0.5% commission on

KiRa [710]

<u><em>Answer:</em></u>

A. $4397.9

<u><em>Explanation:</em></u>

We are given that Kendra sold 200 shares and that the price per share was $22.1

<u>This means that:</u>

Total value = 200 * 22.1 = $4420

Now, we know that the broker charged 0.5% commission on the total value

<u>This means that:</u>

Broker's charge = 0.5% * 4420 = 0.005 * 4420 = $22.1

<u>Therefore,</u>

Kendra's return = Total value - broker's charge

Kendra's return = 4420 - 22.1 = $4397.9

Hope this helps :)

7 0

3 years ago

How do i solve the equation <br><img src="https://tex.z-dn.net/?f=4x%20%7B%7D%5E%7B2%7D%20%20%2B%2040x%20%2B%2084%20%3D%200" id=

SpyIntel [72]

$QUADRATIC \: \: RESOLUTIONS \\ \\ \\\\4 {x}^{2} \: + \: 40x \: + \: 84 \: = \: 0 \\ \\ 4 \: ( \: {x}^{2} + 10x + 21) \: = \: 0 \\ \\ 4 \: can \: never \: be \: equal \: to \: \: 0 \\ \\ {x}^{2} \: + \: 10x \: + \: 21 = \: 0 \\ \\ {x}^{2} + \: 7x \: + 3x \: + \: 21 = 0 \\ \\ x(x + 7) + 3(x + 7) = 0 \\ \\ ( \: x + 7 \: ) \: ( \: x + 3 \: ) \: = \: 0 \\ \\ On \: solving \: \: , \: \: \: We \: get \: \: \: \: \: - \\ \\ \\ x \: = \: - 7 \: \: \: or \: \: \: x = \: - 3 \: \: \: \: \: \: \: \: Ans.$

6 0

3 years ago

Multiply 3x (2x - 1)

Volgvan

Answer:

6x^2 - 3x

$6x^2-3x$

Step-by-step explanation:

3x (2x-1)

multiply 3x by 2x -> 6x^2

multiply 3x by -1 -> -3x

6 0

3 years ago

Read 2 more answers