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grandymaker [24]
3 years ago
12

Distance between (1,-2) and (4,4)

Mathematics
1 answer:
Elenna [48]3 years ago
8 0
\bf\textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ 1}}\quad ,&{{ -2}})\quad 
%  (c,d)
&({{ 4}}\quad ,&{{ 4}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[4-1]^2+[4-(-2)]^2}\implies d=\sqrt{(4-1)^2+(4+2)^2}
\\\\\\
d=\sqrt{3^2+6^2}\implies d=\sqrt{45}\implies d=\sqrt{3\cdot 3\cdot 5}\implies d=\sqrt{3^2\cdot 5}
\\\\\\
d=3\sqrt{5}
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A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the
aleksandrvk [35]
<h2>PLEASE MARK ME AS BRAINLIEST</h2>

the number of small cars rented is 6.

The number of large cars rented is 8.

Step-by-step explanation:

Step 1 :

Each small car can hold = 5 people

Each large car can hold  = 8 people

Step 2 :

Number of small cars rented = x

Number of large cars rented = x + 2

Step 3 :

Altogether the total cars can hold 94 people.

Total people = 5 people (No. of small cars) + 8 people (No. of large cars)

               94 =  5 (x) + 8 (x+2)

               94 = 5x + 8x + 16

               78 = 13x

                  x = 78/13 = 6

∴ Number of small cars, x = 6 small cars

  Number of large cars, x+2 = 8 large cars.

8 0
3 years ago
Because gambling is a big​ business, calculating the odds of a gambler winning or losing in every game is crucial to the financi
IRISSAK [1]

Answer:

a) 0.1165

b) 0.0983

c) 0.000455

d) 0.787

e) 0.767

Step-by-step explanation:

5 ​bars, 4 ​lemons, 3 ​cherries, and a bell

Total = 5+4+3+1 = 13

The probability of getting a bar on a slot, P(Ba) = 5/13 = 0.385

A lemon, P(L) = 4/13 = 0.308

A cherry, P(C) = 3/13 = 0.231

A bell, P(Be) = 1/13 = 0.0769

a) Probability of getting 3 lemons = (4/13) × (4/13) × (4/13) = 256/2197 = 0.1165

b) Probability of getting no fruit symbol

On each slot, there are 4+3 = 7 fruit symbols.

Probability of getting a fruit symbol On a slot = 7/13

Probability of not getting a fruit symbol = 1 - (7/13) = 6/13 = 0.462

Probability of not getting a fruit symbol On the three slots = 0.462 × 0.462 × 0.462 = 0.0983

c) Probability of getting 3 bells, the jackpot = (1/13) × (1/13) × (1/13) = 1/2197 = 0.000455

d) Probability of not getting a bell on the 3 slots

Probability of not getting a bell on one slot = 1 - (1/13) = 12/13 = 0.923

Probability of not getting a bell on the 3 slots = (12/13) × (12/13) × (12/13) = 1728/2197 = 0.787

e) Probability of at least one bar is a sum of probabilities

Note that Probability of getting a bar = 5/13 and probability of not getting a bar = 8/13

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2) Probability of getting 2 bars and other stuff on the remaining slot (this can also occur in 3 different orders) = 3 × (5/13)×(5/13)×(8/13) = 600/2197 = 0.273

3) Probability of getting 3 bars on the slots machine = (5/13) × (5/13) × (5/13) = 125/2197 = 0.0569

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5 0
3 years ago
Find any values of the variable for which each rational expression is undefined. Write answers with the symbol ≠.
astra-53 [7]

Answer:

x \neq 3

Step-by-step explanation:

if  x = 3 then  the rational expression    4 / (x - 3) is undefined

because we get   4/0 = undefined .

4 0
3 years ago
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Gennadij [26K]

<u>answer:</u>  x = 5

<u>work:</u>

5x+10=7x+4  | subtract 5x and move it over to the 7x, and solve

10 = 2x + 4  | subtract 4 and move it over to the 10, and solve

6 = 2x  | divide by 2

3 = x  | final answer

hope this helps! ❤ from peachimin

4 0
3 years ago
Which answer do I pick .
Jobisdone [24]
I don’t think you pick an answer you just put all of those formulas and solutions into your calculator and that will give you what you need to move onto the next question/ step
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