You have a line:
y=mx+b (slope-intercepted form)
m=slope of this line.
The slope of a line perpendicular to that given line will be: ´"m´"
m´=-1/m.
For example:
y=8x+3
m=8
The solpe fo a line perpendicular to "y=8x+3" is:
m`=-1/8
A half life means that half the sample decays.
If the sample size is 1 , then after one half life there would be x * 1/2 = 1/2 of the sample left.
For the 2nd half life, multiply 1/2 by 1/2 to get 1/4.
So after 2 half lives, there is 1/4 of the sample left, which means 3/4 of the sample decayed.
The answer is 3/4
The area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches is 1, 165. 5 In²
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How to calculate the area of a regular hexagon</h3>
The formula is given thus;
Area of hexagon = (1/2) × a × P
where a = the length of the apothem
P = perimeter of the hexagon
Given a = 18. 5 inches
Note that Perimeter, p = 6a with 'a' as side
p = 6 × 21 = 126 inches
Substitute values into the formula
Area, A = 1 ÷2 × 18. 5 × 126 = 1 ÷2 × 2331 = 1, 165. 5 In²
Thus, the area of the regular hexagon is 1, 165. 5 In²
Learn more about the area of a hexagon here:
brainly.com/question/15424654
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Answer:
(-2, 7); (See attachment)
Step-by-step explanation:
x + 2y = 12
7x + 2y = 0
x + 2y = 12
x = -2y + 12
Solve for y:
7x + 2y = 0
7 (-2y + 12) + 2y = 0
-12y + 84 = 0
-12y = -84
y = 7
Solve for x:
x = -2y + 12
x = -2 (7) + 12
x = -2
x = -2, y = 7
Answer:
5793
Step-by-step explanation:
