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Maksim231197 [3]
3 years ago
15

Solve each system of equations Y= x +3 Y=2x+5

Mathematics
1 answer:
Stells [14]3 years ago
5 0

Answer:

x=-2, y=1

Step-by-step explanation:

To solve a system of equations, you set x+3 and 2x+5 equal to each other and solve. This simplifies to x=-2. Then you plug itin to one of the equations to get y. Hope this helps and have a magnificent day!!!!! Stay safe!!!

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Answer:

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Area = Area of bigger triangle - Area of small triangle

{ \rm{area = ( \frac{1}{2}  \times b_{b}  \times h_{b}) - ( \frac{1}{2} \times b_{s} \times h _{s} )}} \\  \\ { \tt{area = ( \frac{1}{2} \times 18 \times 7) - ( \frac{1}{2} \times (18 - 13) \times 7)  }} \\  \\ { \tt{area = (9 \times 7) - (2.5 \times 7)}} \\  \\ { \underline{ \tt{ \:  \: area = 45.5 \:  \: sq \: units \:  \: }}}

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Area = area of square + area of two right angled triangles

{ \tt{area = (s \times s) + 2( \frac{1}{2}  \times b \times h)}} \\  \\ { \tt{area = (6 \times 10) + (3 \times 5)}} \\  \\ { \underline{ \tt{ \:  \: area = 75 \:  \:  {m}^{2}  \:  \: }}}

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1 year ago
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If 30% of a number, p, is 240, what is 72% of p? giving brainliest
Mnenie [13.5K]

Answer:

576

Step-by-step explanation:

30/ 100 x p = 240

p = 240 x 100/30 = 800

72/ 100 x p=

72/100 x 800 = 576

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olya-2409 [2.1K]

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Find the Laplace transformation of each of the following functions. In each case, specify the values of s for which the integral
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Answer:

a. \frac {2} {s-1} converges to s> 1.

b. \frac{3}{e^3 \left(s-5 \right)} converges to s> 5.

c. - \frac {2}{s + 3} converges to s> - 3.

d. \frac {s}{s^2 + 25} converges to s> 0.

e. \frac {10} {s^2 + 1} converges even s> 0.

f. \frac {12}{s^2 + 4} converges to s> 0.

g. -\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4} converges to s> 0.

h. \frac {1} {s ^ 2 + 4} converges to s> 0.

Step-by-step explanation:

a. L \left\{2e^t \right\} = 2L \left\{e^t \right\} = 2 \cdot \frac {1} {s-1} = \frac {2} {s-1} converges to s> 1.

b. L \left\{3e^{5t-3} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = \frac{3}{e^3 \left(s-5 \right)} converges to s> 5.

c. L \left\{-2e^{-3t} \right\} = -2L \left\{e^{-3t} \right\} = - \frac {2}{s + 3} converges to s> - 3.

d. L \left\{\cos\left (5t \right)\right\} = \frac {s}{s^2 + 25} converges to s> 0.

e. L \left\{10 \sin\left(t\right)\right\} = 10L\left\{\sin\left(t\right)\right\} = \frac {10} {s^2 + 1} converges even s> 0.

f. L \left\{6\sin \left(2t \right) \right\} = 6L\left\{\sin\left (2t\right)\right\} = \frac {12}{s^2 + 4} converges to s> 0.

g. L \left\{-5\cos\left(2t + 1\right) \right\} = -5L\left\{\cos\left(2t + 1 \right)\right\} = -\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4} converges to s> 0.

h. L\left\{\sin \left(t\right)\cos \left(t\right)\right\} = L\left\{\sin\left(2t\right)\frac{1}{2}\right\} =\frac{1}{2}\cdot \frac{2}{s^2+4} = \frac {1} {s ^ 2 + 4} converges to s> 0.

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