In the sequence, the numbers are going down by -3. So the nth term must start with -3n. To get from -3 to 4 you must add 7. This makes the nth term -3n+7.
You already have all you need. Just put in it the slope-intercept form: y=mx+b where m is the slope and b is the y-intercept so
y=7x-4
Step-by-step explanation:
this is totally simple.
the formula for the area of a circle (as you can find with any search on the internet in seconds) :
A = pi×r²
r is the radius.
and once you understand even the most basics of a circle, you know that the radius is half of the diameter.
so, in our case, r = 6/2 = 3 m
the area of the circle is therefore
pi×r² = pi×3² = pi×9 m²
Answer:
A= 16 B=28
Step-by-step explanation:
So the ration is 4:7, you have to find multiples that have that same ratio
Multiply both numbers by 4, this should get you
16:28
16 + 28 = 44
Therefore this is the correct answer
Answer:
Distance between A and B is 5400 meters
Step-by-step explanation:
Consider "D" the letter to identify distance between A and B
Let's use "t" to identify the time of the first encounter (Devi and Kumar), and create an equation that states that the distance covered by Devi (at 100 m/min) in time "t", is equal to the total distance D minus what Kumar has covered at his speed (80 m/min) in that same time:
Recall that distance equals the speed times the time:
distance= speed * time
First encounter:
100 * t = D - 80 * t
180 * t = D Equation (1)
Not, 6 minutes later (at time t+6) , Devi and Li Ting meet .
Then for this encounter the distance covered by Devi equals total distance d minus the distance covered by Li Ting:
100 *(t+6) = D - 75 * (t+6)
100 t + 600 = D - 75 t - 450
175 T + 150 = D Equation (2)
Now, let's equal equation (1) to equation (2), since D should be the same:
180 t = 175 t + 150
5 t = 150
t = 30
Then the time t (first encounter) is 30 minutes. Knowing this, we can use either equation to find D:
From Equation (1) for example: D = 180 * t = 180 * 30 = 5400 meters
