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Sever21 [200]
4 years ago
8

Determine the intercepts of the line. Y=6x+13

Mathematics
2 answers:
RideAnS [48]4 years ago
5 0

Answer:

x= (-13/6, 0)  

y= (0, 13)

Step-by-step explanation:

Lubov Fominskaja [6]4 years ago
5 0

\text{Find the intercepts in the equation:}\\\\\text{Y intercept:}\\\\y=6(0)+13\\\\y=13\\\\\boxed{\text{y intercept: (0,13)}}\\\\\text{X intercept:}\\\\0=6x+13\\\\\text{Subtract 13 from both sides}\\\\-13=6x\\\\\text{Divide by 6}\\\\-\frac{13}{6}=x\\\\\boxed{\text{x intercept: }\,(-\frac{13}{6},0)}

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A user’s password to access a computer system consists of 3 letters followed by 2 digits. How many different passwords are possi
Vesnalui [34]

Answer:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

Step-by-step explanation:

For this case we assume that we have 26 letters from A to Z and 10 numbers from 0 to 9 .

And we want to calculate the number of possible passwords possible if the password consists of 3 letters followed by 2 digits.

And for this case we can use the multiplication principle of combinatories, since we don't have any restriction about the letters of the numbers we can have repetition of letters or numbers.

For the number of possible letters:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

7 0
3 years ago
Read 2 more answers
One side of a rectangle is 10 feet shorter than twice another side. Find the length of the shorter side if we also know the peri
seropon [69]

Answer:

  6 feet

Step-by-step explanation:

Let x represent the length of "another side." Then "one side" is ...

  2x -10 . . . . . . 10 feet shorter than twice another side

The sum of these two side lengths is half the perimeter, so is ...

  x + (2x -10) = 14 . . . . . two sides are half the perimeter

  3x = 24 . . . . . . . . . . . . add 10, collect terms

  x = 8 . . . . . . . . . . . . . . .divide by the coefficient of x

  (2x -10) = 2·8 -10 = 6 . . . . find "one side"

We have found "one side" to be 6 feet long, and "another side" to be 8 feet long. The shorter side is 6 feet.

8 0
3 years ago
Help please Math problems?
Andrews [41]
The answer is ep I think
3 0
3 years ago
Read 2 more answers
Is this a negative, positive, or zero slope?
sveticcg [70]

Answer:

i think 0 slop. wait for the other person to answers this, to be sure of the answer

Step-by-step explanation:

5 0
3 years ago
The sum of two consecutive integers<br> is sixty-five. Find the smaller of the<br> two numbers.
Darina [25.2K]

Answer:

32

Step-by-step explanation:

We can write an algebraic equation to solve this situation: x + x + 1 = 65, where x = first integer (small number) and x + 1 = the following integer.

Step 1: Combine like terms.

  • (x+x)+1=65
  • 2x + 1 = 65

Step 2: Subtract 1 from both sides.

  • 2x + 1 - 1 = 65 - 1
  • 2x = 64

Step 3: Divide both sides by 2.

  • 2x/2 = 64/2
  • x = 32

Therefore, the smaller number is 32 while the larger number is 33.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0
3 years ago
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