The midpoint of the points ( 4, 5.5 ) and ( 4, 10.5 ) is the center of the circle:
C =
C = ( 4, 8 ), h=4, k=8
r =
r = 2.5
The equation of the circle in standard form:
( x - h )² + ( y - k )² = r²
( x - 4 )² + ( y - 8 ) = 6.25
1: Identify the angle.
<em>The following angle is a 90.</em>
2: Set up the equation.
<em>x + (3x + 10) = 90</em>
3: Combine like terms.
<em>4x + 10 = 90</em>
4: Solve for x.
<em>4x + 10 = 90</em>
<em> -10 = - 10</em>
<em>--------------------------</em>
<em>4x = 80</em>
<em>------------------</em>
<em>4 4</em>
<em>x = 20</em>
Your answer is x = 20.
Hope this helps! Have a good day/night! c:
Answer:
$5599.20
Step-by-step explanation:
The quarterly interest rate for the first two years was ...
7%/4 = 0.0175
So, the multiplier each quarter for those 8 quarters was 1+0.0175 = 1.0175. At the end of the first 8 quarters, the account value had been multiplied by ...
1.0175^8
For the next 8 quarters, the quarterly interest rate was 10%/4 = 0.025. So at the end of those 8 quarters, the balance had been multiplied by ...
1.025^8
Then the balance at the end of 4 years was ...
$4000(1.0175^8)(1.025^8) ≈ $5599.20
The balance was $5599.20.
9514 1404 393
Answer:
1 +i√3.5
Step-by-step explanation:
In vertex form, the equation is ...
2(x² -2x +1) +7 = 0
2(x -1)² +7 = 0
Then the solutions are ...
(x -1)² = -7/2
x = 1 ±i√3.5
One solution is 1+i√3.5.
