Perpendicular lines will have negative reciprocal slopes. What that means is if u have a slope of 1/2, to find the negative reciprocal, flip the slope and change the sign.......flip 2/1, change the sign -2/1 or just -2. So the negative reciprocal for the slope of 1/2 is -2.
A. y = 1/5x + 3.....slope here is 1/5, so for a perpendicular line, u r gonna need an equation with the slope of -5.....and that would be : y + 3 = -5(x + 2).
B. Parallel lines will have the same slope. y = 5x - 2...the slope here is 5...so a parallel line will have a slope of 5.
y = mx + b
slope(m) = 5
(8,-2)...x = 8 and y = -2
now we sub, we r looking for b, the y intercept
-2 = 5(8) + b
-2 = 40 + b
-2 - 40 = b
-42 = b
so ur parallel equation is : y = 5x -42
Answer:
y=1
Step-by-step explanation:
Given function y=m(x)
The question is to find the y value where x equals -2 so the easiest way is to plus x=-2 in the graph, we can get y=1.
Hopefully this helps, if you have any questions please feel free to ask them in the comment section below, I'll be more than happy to answer!
The circumference of a circle is found with the equation
C = 2 pi * r
Since we have the circumference we can find the radius. Then once we have the radius we can determine the diameter.
9619 = 2 (22/7) r
multiply each side by 7
67333 = 2*22*r
67333 = 44r
divide each side by 44
r = 67333/44 = 1530.295 rounded to the nearest hundredth = 1530.30
The diameter is 2 x the radius, so
1530.30 x 2 = 3060.6 ft
The diameter of the crater is 3060.6 ft
Answer:
The number of subscription will be 26,655 in 2022.
Step-by-step explanation:
In 2005, the number subscription is 110,000 and it is decreased at a rate 8% per year.
After 1 year number of subscription is 110,000- 8% of 110,00
=110,000(1-8%)
After 2 years number of subscription is 110,000(1-8%) -8% of 110,000(1-8%)
=110,000(1-8%)(1-8%)
=110,000(1-8%)²
After 2 years number of subscription is 110,000(1-8%)² -8% of 110,000(1-8%)²
=110,000(1-8%)²(1-8%)
=110,000(1-8%)³
....
and so on.
After t year the number of subscription is
t= 2022-2005=17 years
≈26,655
The number of subscription will be 26,655 in 2022.
Answer:
Ruben ate 6 pieces out of 8.
Step-by-step explanation:
We will understand 3/4 first. If we divide a pie into 4 pieces then Ruben ate 3 pieces of pie.
Further If we divide these 4 and 3 pieces to 8 and 6 then Ruben will eat 6 pieces out of 8.
Now we will show this mathematically
Ruben ate 6 pieces out of 8.
