33 points!!

Mathematics

1 answer:

Alika [10]3 years ago

4 0

Answer:

the missing length would be 35 mm bc both of them are the same length

Step-by-step explanation: hope this helped

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In this problem you will use variation of parameters to solve the nonhomogeneous equation y′′+6y′+9y=−2e−3t

lianna [129]

Try this solution (see the attachment).

7 0

4 years ago

Bethany,Lauren,Amanda,and David all meet at Family reunion. They are comparing their ages. They have found that Laura is 13 year

bazaltina [42]

The second system of equations,

$\left \{ {{y=\frac{x^2}{2}+\frac{13}{2}x} \atop {y=x^2-27x+129}}$
is correct.

We know that Bethany's age is x. Since Laura is 13 years older, her age is x+13. The product of their ages is equal to twice Amanda's age, and Amanda's age is y. This gives us:
x(x+13) = 2y

Using the distributive property, we have
x²+13x=2y

Dividing everything by 2 (to isolate y), we have:
x²/2 + (13/2)x = y

If we take 20 years off of Bethany's age, it is now represented as x-20. Taking 20 years off of Laura's age would be (x+13-20) or x-7. The product of their ages now is equal to David's age; David is 11 years older than Amanda, so his age is y+11. This gives us:

(x-20)(x-7)=y+11

Multiplying the binomials we have:"
x*x - 7*x - 20*x - 20(-7) = y+11
x²-7x-20x--140=y+11
x²-27x+140=y+11

To isolate y, subtract 11 from both sides:
x²-27x+140-11 = y+11-11
x²-27x+129 = y

7 0

3 years ago

Find the distance between two points ( -1,1) and (2,-4)

sladkih [1.3K]

Answer:

The distance between two points ( -1,1) and (2,-4) is:

$d=\sqrt{34}$ or d = 5.8 units.