Answer:
UP=78
Step-by-step explanation:
TP=TU+UP
103=2x+3+6x+12
103=8x+15
103-15=8x
8x=88
x=11
UP=6x+12
UP=6(11)+12
UP=66+12
UP=78
Answer: an = a1 + d(n-1) or an = 24 + 6(n-1)
Step-by-step explanation:
If you drew out this line segment with the points in the order we are given them, the segment would be labeled as a, b, c, d in that order. We are given a measure for ab, and we are also given a measure for bd with c being ignored for a minute. The entire length of the segment can be found by adding ab and bd. 6 + 23 = ad and ad = 29. So the length of the whole segment is 29. We have the length of cd given to be equal to ab, so cd = 6. ab + bc + cd = ad and we are looking for bc. Since we have the other lengths and the length of the whole segment, we fill in accordingly: 6 + bc + 6 = 29. Solving for bc we get bc = 17.
Answer:
AB = 
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(- 2, 1) and (x₂, y₂ ) = B(3, 4)
d = 
= 
= 
= 