Step 1: Add 6 to both sides.
|
2
x
+
3
|
−
6
+
6
=
11
+
6
|
2
x
+
3
|
=
17
Step 2: Solve Absolute Value.
|
2
x
+
3
|
=
17
We know either
2
x
+
3
=
17
or
2
x
+
3
=
−
17
2
x
+
3
=
17
(Possibility 1)
2
x
+
3
−
3
=
17
−
3
(Subtract 3 from both sides)
2
x
=
14
2
x
2
=
14
2
(Divide both sides by 2)
x
=
7
2
x
+
3
=
−
17
(Possibility 2)
2
x
+
3
−
3
=
−
17
−
3
(Subtract 3 from both sides)
2
x
=
−
20
2
x
2
=
−
20
2
(Divide both sides by 2)
x
=
−
10
<u>Answer:</u>
x
=
7
or
x
=
−
10
Answer: $244.55
A = $250 ; r=0.002 t= 11 [From 2007 to 2018 , t=2018-2007]
Write an equation for the nth term of the arithmetic sequence -5 -4 -3 -2
Answer:
It is choice A.
Step-by-step explanation:
The general form is (x - h)^2 / a^2 + (x - k)^2/b^2 = 1 where (h, k) is the center, 2a = major axis and 2b = minor axis.
The ellipse in the question has a^2 > b^2 so the major axis is parallel to the x axis.
The minor axis which is parallel to the y-axis is of length 10 so b^2 = (1/2 * 10)^2
= 25 so we can eliminate C.
The center of the ellipse = the midpoint of a line joining the focii so it is:
( 3+ 7)/2, 6)
= (5,6).
As (h, k) is the center we have h = 5 and k = 6.
So it is choice A.