Answer:
Step-by-step explanation:
Let the first term is a and common difference is d.
<u>The nth term is:</u>
<u>We have:</u>
<u>The difference of these terms is:</u>
- (a + 8d) - (a + 5d) = 16 - 15
- 3d = 1
- d = 1/3
<u>Then the first term is:</u>
- a + 5*1/3 = 15
- a = 15 - 5/3 = 13 1/3
<u>The nth term equation is:</u>
- aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13
<u>If the nth term is 22, find n:</u>
- 1/3n + 13 = 22
- 1/3n = 22 - 13
- 1/3n = 9
- n = 9*3
- n = 27
Answer: its A
Step-by-step explanation:
Exact form: 65/8
Decimal form: 8.125
Mixed Number form: 8 1/8
This should be the right answer though. If you go to desmos.com and type in the equations it gives you the answer.
Hope that helps :)
If two lines are perpendicular, then their slopes have a product of -1 or you could say they are opposite signed reciprocals of each other.
The given equation has a slope of -3. We know this because it is in slope-intercept form y = mx + b ...y = (slope)x + (y-intercept).
so taking the slope -3...the opposite signed reciprocal would be +

Now we have a slope and a point... we can use them to find the b (y-intercept)
x = 4, y = 3, and m =



Using the common denominator fraction for 3, we subtract 4/3 from both sides


plug the values for m and b into the slope intercept form