Hello!
To find the line perpendicular to the given line, y = 2x + 3, firstly, find the slope of the perpendicular line. To find it, use this format: -1/m, where m is the slope. It is also called the "negative reciprocal" of the slope of the given line.
Then, you substitute an ordered pair into a new slope-intercept equation (with the slope) and find the y-intercept.
-1/m when m = 2 → -1/2
y = -1/2x + b (substitute the given ordered pair)
-3 = -1/2(2) + b (simplify)
-3 = -1 + b (add 1 to both sides)
-2 = b | The y-intercept of the perpendicular equation is -2.
Therefore, the line perpendicular to the given equation, that also goes through the given ordered pair is y = -1/2x - 2.
Answer:
84ways
Step-by-step explanation:
This is a problem on combination. Combination has to do with selection. For example if r objects are to be selected from a pool of n objects, this can be done in nCr ways.
nCr = n!/(n-r)!r!
9C3= 9!/(9-3)!3!
9C3= 9!/(6)!3*2*1
9C3= 9*8*7*6!/(6)!6
9C3= 9*8*7*/6
9C3= 9*8*7*/6
9C3= 504/6
9C3= 84ways
<h3>
Answer: 35</h3>
A prime number is one where the only factors are one and itself. A composite number has other factors.
You'll have to look at the list of numbers from 1 to 50
In that list, 47 is the largest prime less than 50, and 12 is the smallest composite number greater than 10.
So 47-12 = 35
Answer:
20 CM
Step-by-step explanation:
100 cm = 1 meter
the one meter roope = 100cm
Dvide 100cm by 1/5 to determine the length of each cm
100 cm x 5 = 20
100 cm x 5
Answer:
10 x 10 x 10 x 10 x 10, 20 x 20 x 10, 30 x 20
