Multiply first equation by -5 and 2nd by 2, add them
15x+20y=-100
<u>2x-20y=32 +</u>
17x+0y=-68
17x=-68
divide both sides by 17
x=-4
the x value is -4
Answer:
28.26
Step-by-step explanation:
Area of a circle = pi (radius)^2 so...
A=3.14(9) = 28.26, which is your first choice
Answer:
The table doesn't display a linear relationship because the slope doesn't stay constant throughout the whole table.
The equations (2) and (3) you referred to are unavailable, but it is clear that you are trying to show that two set of solutions y1 and y2, to a (second-order) differential equation are solutions, and form a fundamental set. This will be explained.
Answer:
SOLUTION OF A DIFFERENTIAL EQUATION.
Two functions y1 and y2 are set to be solutions to a differential equation if they both satisfy the said differential equation.
Suppose we have a differential equation
y'' + py' + qy = r
If y1 satisfies this differential equation, then
y1'' + py1' + qy1 = r
FUNDAMENTAL SET OF DIFFERENTIAL EQUATION.
Two functions y1 and y2 are said to form a fundamental set of solutions to a second-order differential equation if they are linearly independent. The functions are linearly independent if their Wronskian is different from zero.
If W(y1, y2) ≠ 0
Then solutions y1 and y2 form a fundamental set of the given differential equation.
Answer:
d. 6-19i
Step-by-step explanation:
(5-8i)+(1-11i)
<u>Step 1: Combine like terms within the parenthesis. There are </u><u>no </u><u>like terms within the parenthesis. So, drop the parenthesis and move on to the next step. </u>
(<em>Remember!! If you would have had a negative sign in front of either parenthesis, you would need to distribute out the negative sign).</em>
5 - 8i + 1 - 11i
<u>Step 2: Now add like terms.</u>
5 + 1 - 8i - 11i
6 - 19i
<em>You can't combine any more like terms, so this is your final answer.</em>
6 - 19i
