Answer:
You cannot gather an answer from this, it is in simplest form
Well, you would use factorization for this, which would be MORE than 54 different codes! :D
We have a line y = 1/3x -6
We want a line that is perpendicular to this line
Perpendicular lines have slopes that multiply to -1
1/3 * m = -1
3 * 1/3 *m = -1 * 3
m = -3
The slope of the perpendicular line is -3
y = mx+b where m is the slope and b is the y intercept
y = -3x+b
We have a point on the line ( 7 ,-23)
Substitute this point into the equation
-23 = -3(7)+b
-23 = -21+b
Add 21 to each side
-23+21 = -21+21+b
-2 = b
y = -3x-2
In slope intercept form, the line perpendicular passing through (7,-23) is
y = -3x-2
Answer:
x = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 12² = 13², so
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x = = 5
Answer:
- <u><em>There are 20,000 number available.</em></u>
Explanation:
To determine <em>how many phone numbers are available </em>you need to know how many digits the number contains.
I will assume the same number of digits for other similar questions, i.e. 7.
With 7 digits, the numbers that begin with 373 or 377 can be of the form 373XXXX or 377XXXX.
Where each X can be any digit 0 - 9. Then, there are 10 different options for each X.
Thus, there are 10×10×10×10 = 10,000 different numbers starting with 373 and other 10,000 different numbers starting with 377.
In total, there are 20,000 numbers available.