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3 years ago

Y-a=m(x+b) solve for x

Mathematics

2 answers:

bearhunter [10]3 years ago

5 0

$\frac{y-a}{m}$ = x + b

x = $\frac{y-a}{m}$ - b

nikklg [1K]3 years ago

5 0

$x = \frac{y - a}{m}$ -b

You might be interested in

One number exceeds another by 18 and their sum is 36.

AnnZ [28]

x - first number

x + 18 - second number

x + (x + 18) = 36

x + x + 18 = 36

2x + 18 = 36 | - 18

2x = 18 | : 2

x = 9

First number: x = 9

Second number: x + 18 = 9 + 18 = 27

Those numbers are 9 and 27.

3 0

3 years ago

A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 10 characters long, and that eac

Gnoma [55]

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

We know that the password is 10 characters long.

In each one of these, we can put.

One lower case letter (26 of these)

One upper case letter (26 of these)

one numerical digit (10 of these)

So, for every single digit, we have a total of:

26 + 26 + 10 = 62 options

Now we can find the total number of different passwords, which will be equal to the product between the number of options for each one of the characters.

We know that for each character we have 62 different options.

And we have 10 characters.

Then the product between the numbers of options is:

C = 62^10

Then if the hacker does a random guess, the probability that the random guess is correct is one over the total number of possible combinations.

P = 1/C = 1/(62^10)

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

If you want to read more about probability, you can read:

brainly.com/question/427252

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B%28-81%29x%5E%7B2%7D%20%7D" id="TexFormula1" title="\sqrt{(-81)x^{2} }" alt="\sqrt{(

SSSSS [86.1K]

Answer:

We conclude that:

$\sqrt{\left(-81\right)x^2}=9ix$

Step-by-step explanation:

Given the radical expression

$\sqrt{\left(-81\right)x^2}$

simplifying the expression

$\sqrt{\left(-81\right)x^2}$

Remove parentheses: (-a) = -a

$\sqrt{\left(-81\right)x^2}=\sqrt{-81x^2}$

Apply radical rule: $\sqrt{-a}=\sqrt{-1}\sqrt{a},\:\quad \mathrm{\:assuming\:}a\ge 0$

$=\sqrt{-1}\sqrt{81x^2}$

Apply imaginary number rule: $\sqrt{-1}=i$

$=i\sqrt{81x^2}$

Apply radical rule: $\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0$

$=\sqrt{81}i\sqrt{x^2}$

$=9i\sqrt{x^2}$

Apply radical rule: $\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$=9ix$

Therefore, we conclude that:

$\sqrt{\left(-81\right)x^2}=9ix$

7 0

3 years ago

Riley bought 2 1/2 dozen donuts to bring to the office. since there are 12 donuts in a dozen, how many donuts did riley buy?

Elena L [17]

Riley bought 30 donuts to bring to the office

7 0

3 years ago

Jayden has $1.20 worth of nickels and dimes. He has twice as many nickels as dimes. Determine the number of nickels and the numb

melamori03 [73]

Answer:

Total number of dimes=6

Total number of nickels=12

Step-by-step explanation:

The expression for the total value of money Jayden has is;

Nickels have a value of= $0.05

Dimes have a value of= $0.10

Total value=(value of nickels×number of nickels)+(value of dimes×number of dimes)

where;

Total value=$1.20

Value of a nickel=$0.05

number of nickels=y, but y=2 x

Value of a dime=0.10

number of dimes=x

replacing;

1.20=(0.05×2 x)+(0.1×x)

0.1 x+0.1 x=1.2

0.2 x=1.2

x=1.2/0.2

x=6

y=2 x=2×6=12

Total number of dimes=6

Total number of nickels=12

7 0

3 years ago