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Sever21 [200]
2 years ago
8

A line passes through the points (4, 13) and (-2, -2). What is the equation of the line in standard form?

Mathematics
2 answers:
scZoUnD [109]2 years ago
5 0

Answer:

Step-by-step explanation:

Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-2-13}{-2-4}\\\\=\frac{-15}{-6}\\\\=\frac{5}{2}

m= 5/2

Equation: y - y1 = m(x -x1)

y-13=\frac{5}{2}(x-4)\\\\y-13=\frac{5}{2}x-\frac{5}{2}*4\\\\y-13=\frac{5}{2}x-10\\\\y=\frac{5}{2}x-10+13\\\\y=\frac{5}{2}x+3

Gekata [30.6K]2 years ago
4 0

Answer:

y=5/2x+3

Step-by-step explanation:

easy. just find the slope and y-int.

slope is y2-y1 and under is x2-x1

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Step by step please and thank you.
cupoosta [38]

Answer:

  the probability is 2/9

Step-by-step explanation:

Assuming the coins are randomly selected, the probability of pulling a dime first is the number of dimes (4) divided by the total number of coins (10).

  p(dime first) = 4/10 = 2/5

Then, having drawn a dime, there are 9 coins left, of which 5 are nickels. The probability of randomly choosing a nickel is 5/9.

The joint probability of these two events occurring sequentially is the product of their probabilities:

  p(dime then nickel) = (2/5)×(5/9) = 2/9

_____

<em>Alternate solution</em>

You can go at this another way. You can list all the pairs of coins that can be drawn. There are 90 of them: 10 first coins and, for each of those, 9 coins that can be chosen second. Of these 90 possibilities, there are 4 dimes that can be chosen first, and 5 nickels that can be chosen second, for a total of 20 possible dime-nickel choices out of the 90 total possible outcomes.

  p(dime/nickel) = 20/90 = 2/9

8 0
3 years ago
Choose the TWO factored binominals for the expression: x2+6x – 27 Question 6 options: A) (x - 3) B) (x - 9) C) (x + 6) D) (x + 9
Vera_Pavlovna [14]

Answer:

A) x-3 and D) x+9

Step-by-step explanation:

x^2 + 6x - 27

You need to find two numbers that multiply to -27 and add up to 6

Those two numbers are -3 and 9, because 9 * -3 = -27 and 9+ -3 = 6

So you add those to x and those are your two factored binomials

(x-3) and (x+9)

4 0
3 years ago
2a - 5d = 30 dove for d
Slav-nsk [51]
I hope this helps you




2a-30= 5d


d=2a-30/5


d=2a/5-6
6 0
3 years ago
Read 2 more answers
A rectangular swimming pool is 15 feet long and x feet wide. What is the perimeter when x=12 feet
Arisa [49]

Answer: 54 square feet

Step-by-step explanation:

To find perimeter of a rectangle we must use the formula l+l+w+w=p where l and w represent width and length

Since we know length and width is x=12 just substitute so

15+15+12+12=54 so 54 is the perimeter

5 0
2 years ago
Write 50.449 as a mixed number.
lana [24]

Answer:

50 499/1000

Step-by-step explanation:

50.499

There are 3 digits after the decimal

Our denominator is 1 with 3 zero's 1000

50 499/1000

8 0
3 years ago
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