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gtnhenbr [62]
1 year ago
12

help me!!! Write an equation of the line passing through the point (2, 8) that is perpendicular to the line 2x - 3y = 7

Mathematics
1 answer:
galben [10]1 year ago
5 0

Answer:

y = -3/2x +11

Step-by-step explanation:

First you have to change the equation from standard form to slope form.

y = mx + b

2x-3y=7 --> subtract 2x from both sides

-3y = -2x + 7 --> now divide both sides by -3 to get y by itself

y = 2/3x - 7/3  --> the reason 2/3x is positive is because when there are two negatives it turns to a positive.

now you have to use point slope form y - y1 = m (x - x1)

x1 and y1 would be your point. 2 is x1 and 8 is y1

y - 8 = -3/2 (x - 2) --> the reason that m is -3/2 is because a perpendicular equation is the opposite reciprocal of the original slope

next distribute the -3/2

y-8 = -3/2x + 3 --> and now add 8 to 3 to get why by it self

now you have y = -3/2x + 11

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2 years ago
Find the greatest common divisor of 100 and 254, using • prime factorization- • euclidean algorithm-
larisa [96]
Via prime factorization:

100=10^2=2^2\cdot5^2
254=2\cdot127

of which the only common factor is a single power of 2, so \mathrm{gcd}(100,254)=2.

Via the Euclidean algorithm:

254=2\cdot100+54
100=1\cdot54+46
54=1\cdot46+8
46=5\cdot8+6
8=1\cdot6+2
6=3\cdot2+0

which means \mathrm{gcd}(100,254)=2, as expected.
4 0
3 years ago
FIND A NUMBER WITH SIX FACTORS, ALL OF WHICH ARE ODD NUMBER
Bas_tet [7]

Answer: 99

Step-by-step explanation:

factor of 99: 1, 3, 9, 11, 33, 99

This is 6 factors, and they are all odd number

Hope this helps!! :)

Please let me know if you have any question

6 0
3 years ago
if you stop at random in front of an animal exhibit,What is the probability that you will be looking at monkeys? I put the table
Mkey [24]

Answer:

1/10

step-by-step explanation:

----------------------------------

| animals | percent of animals |

----------------------------------

|    goats    |          16%           |

----------------------------------

|    camels    |          4%           |

----------------------------------

|    giraffes    |          6%            |

----------------------------------

|    llamas    |          6%           |

----------------------------------

|   deer    |          1%           |

----------------------------------

|   monkeys    |          10%           |

----------------------------------

|   birds    |          27%           |

----------------------------------

|   reptiles    |          14%           |

----------------------------------

|   bears    |          16%           |

----------------------------------

( sorry if the table above isnt 100% right or straight ^ )

first you add up all the percents of how much animals are in this exhibit

16 + 4 + 6 + 6 + 1 + 10 + 27 + 14 + 16

= 100 %

then since we are looking for the probability of stopping in front of the monkeys, we take that 100 we got earlier and get the 10% of monkeys from our table

10/100

but since there isnt a 10/100 on the answers we look for something that equals to 10/100 and 1/10 does since you can just times both the 1 and 10 to equal the 10 and 100 you were looking for

1/10

making 1/10 your answer!

hope this helps! and if you need anymore help on this math question just ask me :)

4 0
2 years ago
How many 0.25 litre cups can be filled from a 4.51 jug of lemonade
siniylev [52]
To find out the cups, total jug volume should be divided by 0.25 litre.
4.5/0.25
18 cups
8 0
3 years ago
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