Step-by-step explanation:
In this case you know that the segment BC was dilated from the origin, producing the image B'C', whose endpoints are:
The image BC was dilated with a scale factor of 2. This means that each coordinate of the endpoints of BC was multiplied by 2.
Therefore, you can conclude that the segment BC is one-half the size of the segment B'C'.
So, you can divide each coordinate of B' and C' by 2 in order to find the coordinates of the points B and C.
Then:
B→
C→
Answer:
(8x-10)/2
Step-by-step explanation:
Answer:
y = 5
Step-by-step explanation:
Since BD bisects ∠ABC , then
∠ABD = ∠CBD ← substitute given angle values
5y - 3 = 2y + 12 ( subtract 2y from both sides )
3y - 3 = 12 ( add 3 to both sides )
3y = 15 ( divide both sides by 3 )
y = 5
You can check in this link
<span>https://www.youtube.com/watch?v=3-ngOm9KY-U</span>
Answer:
Diverges
General Formulas and Concepts:
<u>Algebra I</u>
- Exponential Rule [Dividing]:
<u>Calculus</u>
Limits
- Limit Rule [Variable Direct Substitution]:
Series Convergence Tests
- P-Series:
- Direct Comparison Test (DCT)
- Limit Comparison Test (LCT):
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Apply DCT</u>
- Define Comparison:
- [Comparison Sum] Simplify:
- [Comparison Sum] Determine convergence:
- Set up inequality comparison:
- [Inequality Comparison] Rewrite:
- [Inequality Comparison] Simplify:
∴ the sum is divergent by DCT.
<u>Step 3: Apply LCT</u>
- Define:
- Substitute in variables [LCT]:
- Simplify:
- [Limit] Evaluate [Coefficient Power Rule]:
∴ Because and the sum diverges by DCT, also diverges by LCT.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Convergence Tests (BC Only)
Book: College Calculus 10e