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4 years ago

In which quadrant is the point (-5,-3) located

Mathematics

2 answers:

schepotkina [342]4 years ago

6 0

Answer:

In the 3rd quadrant

Step-by-step explanation:

Kipish [7]4 years ago

5 0

Answer:

Step-by-step explanation:

It is in the lll quadrant another way to find out how the order is by going in a c form

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Please help I need it.

fomenos

Answer:

option 2

Step-by-step explanation:

√8^2+(22/2)^2=√64+121=√185≈13.6

4 0

3 years ago

Solve the given DE dx/dt=3x+2y+1 dy/dt=-2x-y+1

kirill115 [55]

We can solve for $x(t)$ first by rewriting the system of first-order ODEs as a single second-order ODE in $x(t)$ :

Taking the derivative of the first ODE gives

$\dfrac{\mathrm dx}{\mathrm dt}=3x+2y+1\implies\dfrac{\mathrm d^2x}{\mathrm dt^2}=3\dfrac{\mathrm dx}{\mathrm dt}+2\dfrac{\mathrm dy}{\mathrm dt}$

while solving for $2y$ gives

$\dfrac{\mathrm dx}{\mathrm dt}=3x+2y+1\implies2y=\dfrac{\mathrm dx}{\mathrm dt}-3x-1$

Then

$\dfrac{\mathrm d^2x}{\mathrm dt^2}=3\dfrac{\mathrm dx}{\mathrm dt}+2(-2x-y+1)$

$\dfrac{\mathrm d^2x}{\mathrm dt^2}=3\dfrac{\mathrm dx}{\mathrm dt}-4x-2y+2$

$\dfrac{\mathrm d^2x}{\mathrm dt^2}=3\dfrac{\mathrm dx}{\mathrm dt}-4x-\left(\dfrac{\mathrm dx}{\mathrm dt}-3x-1\right)+2$

$\implies\dfrac{\mathrm d^2x}{\mathrm dt^2}-2\dfrac{\mathrm dx}{\mathrm dt}+x=3$

which is linear with constant coefficients, so it's trivial to solve; the corresponding homogeneous ODE

$x''-2x'+x=0$

has characteristic equation

$r^2-2r+1=(r-1)^2=0$

with root $r=1$ (multiplicity 2), so the characteristic solution is

$x_c=C_1e^t+C_2te^t$

For the non-homogeneous ODE, assume a particular solution of the form

$x_p=a\implies{x_p}'={x_p}''=0$

Substituting these into the ODE gives

$0-2\cdot0+a=3\implies a=3$

Then the general solution for $x(t)$ is

$\boxed{x(t)=C_1e^t+C_2te^t+3}$

From here, we find

$\dfrac{\mathrm dx}{\mathrm dt}=C_1e^t+C_2(t+1)e^t$

so that

$2y=(C_1e^t+C_2(t+1)e^t)-3(C_1e^t+C_2te^t+3)-1$

$\implies\boxed{y(t)=\left(\dfrac{C_2}2-C_1\right)e^t-C_2te^t-5}$

3 0

4 years ago

How much is of 4/9 of-3/4 -1/3 1/5 -16/27 1/2

Aliun [14]

4/9 of -3/4 means : 4/9 * -3/4

$\frac{4}{9} * - \frac{3}{4} = \frac{(4)(-3)}{(9)(4)} = \frac{(-3)}{9}=- \frac{1}{3}$

I hope that helps

5 0

3 years ago

Read 2 more answers

Ummm are irrational numbers real numbers?

dolphi86 [110]

Answer:

Yes.

Explanation:

Irrational numbers are real numbers, they just aren't rational.

For example:

3.55555... and 4.31524363....

3 0

4 years ago

Read 2 more answers

I need help with these two questions

BlackZzzverrR [31]

Problem 4

Answer: 47

------------------------

Work Shown:

f(x) = x^2 - 7x + 3
f(x) = (x)^2 - 7(x) + 3
f(-4) = (-4)^2 - 7(-4) + 3 ... replace each x with -4
f(-4) = 16 - 7(-4) + 3
f(-4) = 16 + 28 + 3
f(-4) = 44 + 3
f(-4) = 47

============================================================

Problem 5

Answer: See the attached image for the table

------------------------

Work Shown:

Plug in n = 27 and we get...
C = 26 + 10*n
C = 26 + 10*27
C = 26 + 270
C = 296
The input n = 27 leads to the output C = 296. This means that 27 people will have the cost be $296

Do the same for n = 39
C = 26 + 10*n
C = 26 + 10*39
C = 26 + 390
C = 416
The input n = 39 leads to the output C = 416. This means that 39 people will have the cost be $416

and also n = 43 as well
C = 26 + 10*n
C = 26 + 10*43
C = 26 + 430
C = 456
The input n = 43 leads to the output C = 456. This means that 43 people will have the cost be $456

4 0

3 years ago