Answer:
see explanation
Step-by-step explanation:
These are the terms of a geometric sequence with n th term
= a
where re a is the first term and r the common ratio
r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3 ← common ratio
and a = - 3, thus
[te x]a_{n}[/tex] = - 3
← explicit formula
Answer:
The length is 42 inches and the width is 14 inches
Step-by-step explanation:
You know the width is 1/3 of the length, and the length is basically the longer side of a rectangle. The width is y-4, so multiply using distributive property to get 3y-12.
You now know that the 2y+6 is equal to 3y-12, so you add 12 to both sides using additive property of addition to get 2y+18=3y.
Then you subtract 2y from both sides to get the unit value of y.
Y is equal to 18.
Then you can plug 18 into the y's to get
2(18)+6 which is 36+6 = 42
18-4 = 14
There you go.
The length is the longer side which is 42 inches and the width is 14 inches
Hope this helps!
Answer:
a = 9
Step-by-step explanation:
-6a + 2a = -36
-4a = -36
a = -36/-4
a = 9
Answer:
The equation of a circle is 
.
Step-by-step explanation:
-The equation of a circle is:
(where center is 
, the point 
and the radius known as 
).
-Use the center (5,-4) and the point (5,-2) for the equation:
-Solve the equation:
-After you found the radius, use the center (5, -4) and radius 2 to get the equation of a circle:
-Then, after you have the equation, the radius needs to simplified by the exponent:
