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4 years ago

Determine the distance between the following two points. PLEASE ANSWER ILL GIVE YOU BRAINLIEST

Mathematics

2 answers:

IRINA_888 [86]4 years ago

6 0

Answer:

$d=5$

Step-by-step explanation:

Distance Formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>:

$d=\sqrt{(-2-(-5))^2+(5-1)^2}$

$d=\sqrt{(-2+5)^2+(4)^2}$

$d=\sqrt{(3)^2+16}$

$d=\sqrt{9+16}$

$d=\sqrt{25}$

$d=5$

RoseWind [281]4 years ago

3 0

Answer:

Step-by-step explanation:

So you can use the Pythagorean Theorem to find this length. You simply just make a triangle out of that line and use the formula x^2 + y^2 = your answer.

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3 years ago

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con

natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

$L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\$

The construction cost now is:

$C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}$

Now, to determine the minimum cost:

$\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}$

$w = \dfrac{88}{3(3)}^{1/3} \ feet$

Now;

$length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet$

$height = ( 88})^{1/3} (3)^{1/3} \ feet$

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3 years ago

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4 years ago

20-x2/y-x for x=2 and y=6

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4 years ago

Read 2 more answers

Mr.Chung stayed four nights at a hotel. His bill was 725$ before the sales tax of 6% was added. How much was the sales tax?

DiKsa [7]

Hello there!

To start, first look at the information you already know: your bill without the tax is 725 dollars, and the tax is 6%.

To solve this for the amount of tax added, you must multiply 6% by 725 since the tax is 6% of the bill. Before you do that, first convert 6% to a decimal by moving the decimal two places to the left. This would result in 0.06 as your decimal.

Now, set up your expression to find the amount of sales tax:
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When you simplify, you should get that the sales tax is $43.50.

Hope this helps!

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3 years ago