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4 years ago

Write the equation of the circle in general form.

Mathematics

1 answer:

joja [24]4 years ago

8 0

Answer:

$x^{2} +y^{2} =9$

Step-by-step explanation:

The middle of the circle is at 4, -2, and r is 3

x + 4 + y + 2 = 3

combine like terms

x + y + 6 = 3

x + y = -3

square all the numbers

$x^{2} +y^{2} =9$

easy!

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Rosa brought d drawings to an art show. After selling 14 of them , she had 34 left . Identify the equation that represents this

fgiga [73]

Answer:

$d-14=34$ shows that when we add sold drawing we get the total drawings.

Step-by-step explanation:

We have been given that Rosa brought d drawings to an art show.

After selling 14 of them, she had 34 left.

We have to form a equation such that when we add 14 in 34 we get the total of drawings.

$d-14=34$ (1)

Equation (1) shows that when we add sold drawing we get the total drawings.

4 0

4 years ago

The function I(x) = x is called?

Serga [27]

Answer:

absolute value function

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Not sure how I am supposed to arrive to an answer

ANEK [815]

Integrating both sides once gives

$\dfrac{\mathrm d\mathbf r}{\mathrm dt}=2e^t\,\mathbf i+3e^{-t}\,\mathbf j+4e^{2t}\,\mathbf k+\mathbf c$

where $\mathbf c$ is an arbitrary constant vector. Use the initial condition to find its value:

$\dfrac{\mathrm d\mathbf r}{\mathrm dt}(0)=-\mathbf i+7\,\mathbf j=(2+c_1)\,\mathbf i+(3+c_2)\,\mathbf j+(4+c_3)\,\mathbf k$

$\implies\mathbf c_1=-3\,\mathbf i+4\,\mathbf j-4\,\mathbf k$

Integrate again:

$\mathbf r(t)=2e^t\,\mathbf i-3e^{-t}\,\mathbf j+2e^{2t}\,\mathbf k+\mathbf c_1t+\mathbf c_2$

where $\mathbf c_2$ is another arbitrary vector of constants. Use the other initial condition to determine its components:

$\mathbf r(0)=6\,\mathbf i+\mathbf j+3\,\mathbf k=(2+c_1)\,\mathbf i+(-3+c_2)\,\mathbf j+(2+c_3)\,\mathbf k$

$\implies\mathbf c_2=4\,\mathbf i+4\,\mathbf j+\mathbf k$

Then the particular solution to this ODE is

$\boxed{\mathbf r(t)=(2e^t-3t+4)\,\mathbf i+(-3e^{-t}+4t+4)\,\mathbf j+(2e^{2t}-4t+1)\,\mathbf k}$

5 0

3 years ago

Describe how the graph is related to the graph of y = lxl.

Crazy boy [7]

Answer:

Vertical shift down 4 units

Step-by-step explanation:

Vertical shift down 4 units

8 0

3 years ago

Naomi asked several classmates how much cash they had in their pocket. She recorded the data below:

AfilCa [17]

Answer:

the answer is $2,883$

Step-by-step explanation:

8 0

3 years ago