Answer:
slope 8= -1/5
slope 9= -1
Step-by-step explanation:
Answer:
Triangle A: 38 degrees
Triangle B: Unknown (not enough information)
Triangle C: Unknown (not enough information)
Triangle D: 70 degrees
Triangle E: 40 degrees
Step-by-step explanation:
Work for Triangle A: 90 + 52 = 142. 180 - 142 = 38.
Work for Triangle B: Unidentifiable because there is no indicator to tell you if any of the angles/lines are equal. Generally there will be a "double lined" indicator in the corners of which a triangles angles are equal.
Work for Triangle C: Same as B.
Work for Triangle D: 90 + 20 = 110. 180 - 110 = 70.
Work for Triangle E: 90 + 50 = 140. 180 - 140 = 40.
Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>Initial population size is when t = 0</u>
- P(0) = 400(1.22)⁰ = 400(1) = 400
<u>The multiple of 1.22 is applied every year, so the ratio of change is:</u>
This is an exponential growth which represents 22% annual growth.
Answer:
x=1
Step-by-step explanation:
slope AB = (7-5) / (3 - -1) = 2 / 4 = 1/2
slope CD = (23-11) / (x-7) = 12 / (x-7)
12 / (x-7) = - 2 ... perpendicular to AB slope 1 = - 1/slope 2
-2 (x-7) = 12
-2x + 14 = 12
-2x = -2
x = 1
Given a sequence; a₁,a₂,a₃...,an,
The common difference is d= a₂-a₁=a₃-a₂=a₄-a₃....
In this case:
a₁=1.05
a₂=1.1
d=a₂-a₁=(1.1)-(1.05)=0.05
Answer: The common difference is 0.05.
