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3 years ago

Someone help me simplify this 3t+12-9=

Mathematics

2 answers:

Veseljchak [2.6K]3 years ago

8 0

You would subtract 9 from 12 which would give you 3 which would lead you to 3t+3

blondinia [14]3 years ago

7 0

it's simple

3t+3

just this

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Please look at picture

olchik [2.2K]

Answer:

By sum interior angle of triangle is equal to third exterior angle hence

z = x + y

No find x and y

Sum triangle is 180 degree

5 0

3 years ago

(5) Find the Laplace transform of the following time functions: (a) f(t) = 20.5 + 10t + t 2 + δ(t), where δ(t) is the unit impul

Aloiza [94]

Answer

(a) $F(s) = \frac{20.5}{s} - \frac{10}{s^2} - \frac{2}{s^3}$

(b) $F(s) = \frac{-1}{s + 1} - \frac{4}{s + 4} - \frac{4}{9(s + 1)^2}$

Step-by-step explanation:

(a) $f(t) = 20.5 + 10t + t^2 +$ δ(t)

where δ(t) = unit impulse function

The Laplace transform of function f(t) is given as:

$F(s) = \int\limits^a_0 f(s)e^{-st} \, dt$

where a = ∞

=> $F(s) = \int\limits^a_0 {(20.5 + 10t + t^2 + d(t))e^{-st} \, dt$

where d(t) = δ(t)

=> $F(s) = \int\limits^a_0 {(20.5e^{-st} + 10te^{-st} + t^2e^{-st} + d(t)e^{-st}) \, dt$

Integrating, we have:

=> $F(s) = (20.5\frac{e^{-st}}{s} - 10\frac{(t + 1)e^{-st}}{s^2} - \frac{(st(st + 2) + 2)e^{-st}}{s^3} )\left \{ {{a} \atop {0}} \right.$

Inputting the boundary conditions t = a = ∞, t = 0:

$F(s) = \frac{20.5}{s} - \frac{10}{s^2} - \frac{2}{s^3}$

(b) $f(t) = e^{-t} + 4e^{-4t} + te^{-3t}$

The Laplace transform of function f(t) is given as:

$F(s) = \int\limits^a_0 (e^{-t} + 4e^{-4t} + te^{-3t} )e^{-st} \, dt$

$F(s) = \int\limits^a_0 (e^{-t}e^{-st} + 4e^{-4t}e^{-st} + te^{-3t}e^{-st} ) \, dt$

$F(s) = \int\limits^a_0 (e^{-t(1 + s)} + 4e^{-t(4 + s)} + te^{-t(3 + s)} ) \, dt$

Integrating, we have:

$F(s) = [\frac{-e^{-(s + 1)t}} {s + 1} - \frac{4e^{-(s + 4)}}{s + 4} - \frac{(3(s + 1)t + 1)e^{-3(s + 1)t})}{9(s + 1)^2}] \left \{ {{a} \atop {0}} \right.$

Inputting the boundary condition, t = a = ∞, t = 0:

$F(s) = \frac{-1}{s + 1} - \frac{4}{s + 4} - \frac{4}{9(s + 1)^2}$

3 0

3 years ago

Find the value of 14/8 + 15/12

n200080 [17]

Answer:

The value of $\frac{14}{8} + \frac{15}{12}$ = 3

Step-by-step explanation:

Explanation

Given $\frac{14}{8} + \frac{15}{12}$

L.C.M 8 , 12 is 24

$\frac{14}{8} + \frac{15}{12} = \frac{14 X 3 + 15 X 2}{24}$

= $\frac{42 +30}{24} = \frac{72}{24} = 3$

Final answer:-

The value of $\frac{14}{8} + \frac{15}{12}$ = 3

5 0

3 years ago

Five friends are leaving a bar for home. Aside from the owner of the car, one other person is deemed able to operate the vehicle

erastova [34]

Answer:

Step-by-step explanation:

one person is deemed to drive and that person is fixed on the driver's seat no mater which arrangement.

we have now 2 more seats one adjacent to the driver and one rear (two combined).

so the total ways in which all five can be arranged is as follows.

driver, adjacent to him(1) and three back.

driver adjacent to him (different person) and three back.

see the driver is always fixed so we can ignore him.

thus we when driver set fixed , on two remaining seats (adjacent to driver and the back )there can be 4 different combinations.

3 0

3 years ago

I have no idea how to solve this

Pavlova-9 [17]

Answer:

x = 25

Step-by-step explanation:

Hi there !

the opposite angles are equal

4x - 25 = 25 + 2x

4x - 2x = 25 + 25

2x = 50

x = 50 : 2

x = 25

Good luck !

7 0

3 years ago