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lorasvet [3.4K]
3 years ago
15

What is the equation of the line ?

Mathematics
1 answer:
Ronch [10]3 years ago
7 0

Look at the picture.

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-3, -3) and (2, 0). Substitute:

m=\dfrac{0-(-3)}{2-(-3)}=\dfrac{3}{5}\\\\y-0=\dfrac{3}{5}(x-2)\qquad|\text{use distributive property}\\\\y=\dfrac{3}{5}x-\dfrac{6}{5}\qquad|\cdot5\\\\5y=3x-6\qquad|-5y\\\\0=3x-5y-6\qquad|+6\\\\3x-5y=6

Answer:

point-slope form: y=\dfrac{3}{5}(x-2)

slope-intercept form: y=\dfrac{3}{5}x-\dfrac{6}{5}

standard form: 3x-5y=6

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What is 144 over 324 simplified
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144/324=12/27=4/9

The answer in simplified is 4/9 hope this helps
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3 years ago
two supplementary angles consist of one acute angle and one obtuse angle. a)always b)sometimes c) never
mel-nik [20]

the sum of supplementary angles equals 180°

you can have an acute angle (less than 90°) + an obtuse angle (greater than 90°) equal to 180°

But you can also have a right angle (equal to 90°) + another right angle equal to 180°

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3 years ago
Automobile license plates for a state consist of four letters followed by a dash and two single digits. How many different licen
Sauron [17]

The number of different license plate combinations that are possible if exactly one letter is repeated exactly once, but digits cannot be repeated is 8,424,000.

<h3>What is combination?</h3>

A combination is just a mathematical technique for determining the number of potential arrangements in a set of objects where the order of a selection is irrelevant.

You can choose the components in any order in combinations. Permutations and combinations are often mistaken.

Now according to the question,

Possible letter combinations

Choose any letter and make it a repeat letter = 26 ways

But, there are ⁴C₂ = 6 spots available for the identical letters.

And there are (25)×(24) other methods for selecting the other two letters.

The total amount of "words" equals ⁴C₂ × 26 × 25 × 24 = 93600.

Furthermore, because the numerals cannot be repeated = 10 × 9 = 90

So, the total number of choices = 93600 × 90 = 8,424,000

Therefore, the total combinations in which the letters can be chosen for the license plates is  8,424,000.

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brainly.com/question/11732255

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4 0
1 year ago
HE:LPPPPPPPPPPPPPPP I GOT MORE SO CHECK MY PROFILE
denis23 [38]

Answer:

21000

Step-by-step explanation:

To find estimate, round all the values to the nearest thousands

5,789 is 6000

8,356 is 8000

6,561 is 7,000

add.

6000+8000+7000

21000

3 0
2 years ago
Read 2 more answers
I need help with numbers 1 and 2
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Answer:

1.No, 143 is not a prime number. The list of all positive divisors the list of all integers that divide 143 is as follows: 1, 11, 13, 143. To be 143 a prime number, it would have been required that 143 has only two divisors, itself and 1.

2.Since the polynomial can be factored, it is not prime.

4 0
3 years ago
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