Answer:
Part 1: [ -4 = -8 ]
Part 2: Inconsistent
Step-by-step explanation:
<u>Part 1</u>
1. Move all terms that don't contain x to the right side:
3x - 6y+6y = -12+6y
= 3x = -12 + 6y
2. Isolate x:
x = -4 + 2y
3. Substitute the new expression into the original:
-4 + 2y - 2y = -8
4. Simplify:
-4 + 0 = -8
[ -4 = -8 ]
<u>Part 2</u>
The two solutions are not equal in value, so, we can conclude that the system of equations has no solution, or is inconsistent.
hope this helps!
Answer:
4
Step-by-step explanation:
The sum of n terms of a geometric series with first term a1 and common ratio r is given by ...
Sn = a1·(r^n -1)/(r -1)
for r=5 and n=6, this becomes ...
15624 = a1·(5^6 -1)/(5 -1) = a1·(15624/4)
Then we have ...
1 = a1/4 . . . . . divide by 15624
4 = a1 . . . . . . multiply by 4
The first term of the series is 4.
Answer:
BC = 23.8
Step-by-step explanation:
See the diagram attached.
Given AC ║ DE and BD = 5, DA = 12 and BE = 7.
We have to find BC.
Since, AC ║ DE, so, Δ ABC and Δ DBE are similar.
If two triangles are similar then the ratio of their corresponding sides remains the same.
Hence, 
⇒ 
⇒ 
(Answer)
Answer:
C and D. You're welcome :)
Step-by-step explanation:
