Answer:
The equation of the line is:

Therefore, option a is the correct answer.
Step-by-step explanation:
Given the points
Finding the slope




As the point-slope form of the equation of the line is

where m is the slope
substituting the values
and the point (-2, 2)



∵
Add 2 to both sides


Hence, the equation of the line is:

Therefore, option a is the correct answer.
Answer: D, 18 inches
This is a very simple question, what they are requiring of you is to just find the length if it is longer than the width by 3 inches. In the question it mentions that the width is 15 inches long ,so, all you have to do is add 3 to 15 and you get 18 inches.
Answer:
2513.27 inches
Step-by-step explanation:
Given that:
Diameter = 20 inches
Number of revolutions = 40
For a complete revolution :
Distance traveled = Circumference = 2πr
2 * π * 20/2 = 62.831853 inches
Distance per revolution * number of revolutions
62.831853 * 40
= 2513.2741 inches
= 2513.27 inches
Hi, here is the solution...
f(x) = 2
+ x - 3 and g(x) = x + 2
(f.g)(x) = f(x). g(x)
= (2
+ x - 3) *(x + 2)
Now use the distributive property, we get
= (2
+ x - 3)x + 2(2
+x -3)
= 2
+
-3x + 4
+ 2x - 6
Now combine the like terms.
= 2
+5
-1x -6 [-3x +2x = -1x = -x]
(f.g)(x) = 2
+5
-x -6
That's it. Thank you :)
Answer:
k ≥ 12
Explanation:
We are given that the least possible value for k is 12.
This means that k can either be 12 or more.
Translating this into an inequality, we will find that the inequality is as follows:
k ≥ 12
Hope this helps :)