The sum of 4 times a number and 7 equals 2<br>Use the variable y for the unknown number.

Find the equation of the line perpendicular to the<br> given line through the point (1,9). y=1/3x+5

Ivan

Slope-intercept form: y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction[switch the numerator and the denominator])

For example:

Slope = $\frac{1}{3}$

Perpendicular line's slope = $-\frac{3}{1}$ or -3

Slope = -2 or $-\frac{2}{1}$

Perpendicular line's slope = $\frac{1}{2}$

$y=\frac{1}{3} x+5$ The given line's slope is $\frac{1}{3}$ , so the perpendicular line's slope is -3. Now that you know the slope, substitute/plug it into the equation:

y = mx + b

y = -3x + b To find b, plug in the point (1, 9) and isolate/get the variable "b" by itself in the equation

9 = -3(1) + b Add 3 on both sides to get "b" by itself

9 + 3 = -3 + 3 + b

12 = b

y = -3x + 12

3 0

3 years ago

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Find the sum of -822 + 3 and -92? + 3x – 3.

erik [133]

Answer:

Step-by-step explanation:

= (-822 + 3) + (-92)

= ( -819) + (-92)

= -911

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

8 0

3 years ago

Alfred wants to become a member of an online discussion forum. The website requires him to create a password. The password must

Akimi4 [234]

Answer:

Alfred can create the password in 9,360,000 possible ways

Step-by-step explanation:

Given the data in the questions;

Password of five characters must contain; three letters and 2 digits

[][][][][]

Now, using the five boxes above which as to be filled with three letters and two digits, such that; The first character of the password must be a letter and repetition of the same letter in the password is not allowed while repetition of digits is allowed.

Now,

we know that there are 26 alphabets in English language, so the first box can be filled in 26 ways { must be a letter }

next four will be filed with two letters and two digits

so two boxes from the four can be chosen in the following ways;

⇒ ⁴C₂ = 4! / ( 2!(4-2)! = 24 / 4 = 6 { ways }

now for each choice, we can fill the chosen two boxes with letters in;

⇒ 25 × 24 = 600 { ways}

and the next two by digits; ( 0, 1, 2, ..... 9)

⇒ 10 × 10 = 100 { ways }

So in total, the possible number of ways he can create a password is;

⇒ 26 × 6 × 600 × 100

= 9,360,000 possible ways

Therefore, Alfred can create the password in 9,360,000 possible ways

8 0

3 years ago

Try to solve (-78)+43 #

Valentin [98]

Answer:

-35

Step-by-step explanation:

you put -78 on top and take put 43 the put the negative back on

4 0

3 years ago

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P=2W+2L solve for W

WARRIOR [948]

Answer:

What's the value for P and L?

Step-by-step explanation:

2W = 2L - P

W = (2L - P) / 2

5 0

3 years ago

The sum of 4 times a number and 7 equals 2Use the variable y for the unknown number.​

The sum of 4 times a number and 7 equals 2Use the variable y for the unknown number.