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4 years ago

What is the distance between (0, 0) and (4, 3)? Show any calculations

Mathematics

2 answers:

12345 [234]4 years ago

7 0

Answer:

5 units

Step-by-step explanation:

Distance between given points:

$d = \sqrt{(4 - 0)^{2} + {(3 - 0)}^{2} } \\ = \sqrt{ {4}^{2} + {3}^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} \\ = 5 \: units$

Mice21 [21]4 years ago

4 0

Answer:

Step-by-step explanation:

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There are 3 directors, 4 management executives, 2 statisticians and 1 administrator. A committee of 4 members among them is to b

Vsevolod [243]

Answer:

1) 4/35

2) 11/14

3) 5/6

Step-by-step explanation:

First find the number of selections possible.

$\frac{10!}{(10-4)!4!} = 210$

There are 210 possible selections. Now we can determine the possibility for each group. For the first probability, since we only want one member from each committee, you would create a fraction by (group members in total / group member being extracted). For this instance, since its only one, we will do whole numbers. Multiply each other.

$4*3*2*1=24$

The probability for each member to get selected from each kind is : $24/210$ or can be simplified to $4/35$ .

The probability of (I assume) at least one administrator is slightly different. Separate our two selections, the other three and the administrator. Find the number of selections possible for the other three... 4+3+2 = 9 others.

Find the probability for both a administrator included and three others.

$\frac{11}{3} * \frac{1}{1} \\\frac{11!}{(11-3)!3!} \\\\165$

$\frac{165}{210} = \frac{11}{14}$

The probability for an administrator and the other three is 165/210 or 11/14.

For the last one, you will figure out what the probability is for no director and use that % to substract from 100.

4+2+1 = 7

Get selections possible.

$\frac{7!}{(7-4)!4!} = 35$

Get probability of no director.

$\frac{35}{210} = \frac{1}{6}$

Substract 1/6 from 100%

1 - 1/6 = 5/6

The probability of having at least one director is 5/6.

7 0

3 years ago

Juan decided to start saving for college. He deposited $500 into an account which earns 4% simple annual interest. At the end of

Norma-Jean [14]

Answer:

$5504

Step-by-step explanation:

Given that :

Principal amount = $500

Interest = 4% simple interest annually

Amount added at the end of each year :

First year:

Principal + (Principal * rate * time)

500 + (500 * 0.04) = 520

$520 + $250 = $770

2nd year:

770 + (770 * 0.04) = $800.80

$800.80 + $250 = 1050.80

3rd year:

1050.8 + (1050.8 * 4) = 5254

$5254 + 250 = $5504

5 0

3 years ago

(6x-7)-(4+3x)=13 PLS HELP

klemol [59]

$(6x - 7) - (4 + 3x) = 13$

$6x - 7 - 4 - 3x = 13$

$(6x - 3x) + ( - 7 - 4) = 13$

$3x - 11 = 13$

$3x = 13 + 11$

$3x = 24$

$x = \frac{24}{3}$

$x = 8$

3 0

3 years ago

Read 2 more answers

Mary is twice as old as her brother Zane.Zane is four years less than twice as old as his cousin chase.If chase is 4 years old,h

zzz [600]

Answer:

Mary is 8 and that Zane and Chase are both 4 years old.

Step-by-step explanation:

For this equation, we will say Mary = M, Zane = Z, and Chase = C.

We will now convert the word problem into equations.

$2m = z, 2c - 4 = z, c = 4$

Now I will solve the equations by putting C into the equation.

$2(4) = 8, 2(4) - 4 = 4, c = 4$

So we can see that Mary is 8 and that Zane and Chase are both 4 years old.

7 0

3 years ago

In a couple of sentences and your own words describe how to re-write an expression that's in radical form into an expression wit

Serga [27]

In order to rewrite an expression in radical form using exponents, we must consider the power of the root (is the radical the typical square root, cubed root, etc) and the value of any exponents contained in the radical.

Using this information, we will make the power of the radical the denominator of our exponent, and whatever exponent is contained in the radical will become the numerator.

Example:
√(x³) = square root of x³ = x^(3/2)

3 0

4 years ago