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ANEK [815]
3 years ago
11

Find the (real-valued) general solution to the differential equation. z′′+5z′=0

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0
Try this solution:1. to make up the characteristic equation:α²+5α=0;\left[\begin{array}{ccc} \alpha=0 \\ \alpha =-5\\\end{array}2. to make up the final answer:y=C₁+C₂e⁻⁵ˣ
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The length of a rectangular garden ABCD is 9 feet more than its width. It is surrounded by a brick walkway 4 feet wide as shown
Anna71 [15]

Answer:

  16.5 ft by 25.5 ft

Step-by-step explanation:

Let w represent the width of the garden in feet. Then w+9 is the garden's length, and w(w+9) represents its area.

The surrounding walkway adds 8 feet to each dimension, so the total area of the garden with the walkway is ...

  (w+8)(w+9+8) = w^2 +25w +136

If we subtract the area of the garden itself, then the remaining area is that of the walkway:

  (w^2 +25w +136) - (w(w+9)) = 400

  16w + 136 = 400 . . .simplify

  16w = 264 . . . . . . . . subtract 136

  264/16 = w = 16.5 . . . . . width of the garden in feet

  w+9 = 25.5 . . . . . . . . . . .length of the garden in feet

5 0
4 years ago
HELLLOOOO THIS IS DUE HELP
loris [4]

Answer:

RS=13

Step-by-step explanation:

RS+ST=RT

2w+1+w-1=18

3w=18

w=6

RS= 2w+1= 2(6)+1= 12+1= 13

7 0
3 years ago
60% of what number is 33?​
Andreyy89

Answer:

55

Step-by-step explanation:

33/60 = 0.55 * 100 = 55

Check:

55*0.6 = 33

Hope that helps!

8 0
2 years ago
What is the nearest thousand to 700,000
emmasim [6.3K]
It would stay 700,000
3 0
3 years ago
Round 9991.55314546 to the nearest thousand​
algol13

Answer:

9992.0.

Step-by-step explanation:

So eventually untill you get to the 2 you get 9991.5532 but, now since it is *thousand* it would be 9992.0.

Hope it helps.

8 0
4 years ago
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