Answer:
4
Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = B(0, 0) and (x₂, y₂ ) = (
,
)
AB =
+ 
=
+ 
= 
= 
= 4
Answer:-y,x
Step-by-step explanation: It is rotateing into the negative part of a graph if you think about it.
<h3>
Answer: -10 and -40</h3>
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Explanation:
a = 200 = first term
d = -30 = common difference
Tn = nth term
Tn = a + d(n-1)
Tn = 200 + (-30)(n-1)
Tn = 200 - 30n + 30
Tn = -30n + 230
Set Tn less than 0 and isolate n
Tn < 0
-30n + 230 < 0
230 < 30n
30n > 230
n > 230/30
n > 7.667 approximately
Rounding up to the nearest whole number gets us 
So Tn starts to turn negative when n = 8
We can see that,
Tn = -30n + 230
T7 = -30*7 + 230
T7 = 20
and
Tn = -30n + 230
T8 = -30*8 + 230
T8 = -10 is the 8th term
and lastly
Tn = -30n + 230
T9 = -30*9 + 230
T9 = -40 is the ninth term
Or once you determine that T7 = 20, you subtract 30 from it to get 20-30 = -10 which is the value of T8. Then T9 = -40 because -10-30 = -40.
C. Chana’s and Josiah’s distance from the starting line at the time when chana catches up to Josiah
Answer:−9a+10b−23
Step-by-step explanation:−9a+3b−a+7b−13+a−10
Combine −9a and −a to get −10a.
−10a+3b+7b−13+a−10
Combine 3b and 7b to get 10b.
−10a+10b−13+a−10
Combine −10a and a to get −9a.
−9a+10b−13−10
Subtract 10 from −13 to get −23.
−9a+10b−23