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4 years ago

(07.02 LC)

Mathematics

1 answer:

babymother [125]4 years ago

8 0

Answer:

statement which is true for the equation

Step-by-step explanation:

d. It has infinitely many solutions.

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3y+2=5(y-6) please help :)

grigory [225]

In this problem, y = 16!

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3 years ago

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What is 1/5 +2/4?the simplest form

timama [110]

Answer:

7 /10 0.7

Step-by-step explanation:

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3 years ago

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15 is 30% of what number?

777dan777 [17]

15 is 30% of 50

Change the percentage to a decimal by dividing it over 100:
$\frac{30}{100} = 0.3$

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3 years ago

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Solve the following ODE's: c) y* - 9y' + 18y = t^2

Nastasia [14]

Answer:

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

Step-by-step explanation:

y''- 9 y' + 18 y = t²

solution of ordinary differential equation

using characteristics equation

m² - 9 m + 18 = 0

m² - 3 m - 6 m+ 18 = 0

(m-3)(m-6) = 0

m = 3,6

C.F. = $C_1e^{3t}+C_2e^{6t}$

now calculating P.I.

$P.I. = \frac{t^2}{D^2 - 9D +18}$

$P.I. = \dfrac{t^2}{(D-3)(D-6)}\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1-\frac{D}{6})^{-1}(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1+\frac{D}{6}+\frac{D^2}{36}+....)(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(1+\frac{D}{3}+\frac{D^2}{9}+....)(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

hence the complete solution

y = C.F. + P.I.

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

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3 years ago

PLZZ HELLP ME !!!! WILL GIVE BRANLIEST !!!!

Zielflug [23.3K]

Answer:

24mm

Step-by-step explanation:

since it's a similar triangle, we solve;

EH/EG=DH/DG

EH=56mm;

EG=44.8mm;

DH=35mm;

DG=X+4.

Fix them,

56/44.8=35/x+4

cross multiply

56(x+4)=35×44.8

56x+224=1,568

collect the like term

56x=1,344

divide via by 56

56x/56=1344/56

x=24mm

Check/ verify

EH/EG=DH/DG

56/44.8=35/24+4

56/44.8=35/28

CROSS MULTIPLY OVER THE EQUAL SIGN.

56×28=35×44.8

1,568=1,568

THAT'S CORRECT.

6 0

3 years ago