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3 years ago

Help me?? Anyone I'll vote brainliest and everything 5 stars!! :)

Mathematics

1 answer:

fgiga [73]3 years ago

6 0

Answer: y - 3 = -1/5(x+5)

Step-by-step explanation:

Hope this helps

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Find the position vector R(t) and velocity vector V(t), given the acceleration A(t) and initial position and velocity vectors R(

valentina_108 [34]

The fundamental theorem of calculus tells us that

$\vec v(t)=\vec v(0)+\displaystyle\int_0^t\vec a(u)\,\mathrm du$

$\vec r(t)=\vec r(0)+\displaystyle\int_0^t\vec v(u)\,\mathrm du$

So we have

$\vec v(t)=(\vec\imath-\vec\jmath-2\,\vec k)+\displaystyle\int_0^t(u^2\,\vec\imath-2u^{1/2}\,\vec\jmath+e^{3u}\,\vec k)\,\mathrm du$

$\vec v(t)=(\vec\imath-\vec\jmath-2\,\vec k)+\left(\dfrac{u^3}3\,\vec\imath-\dfrac{4u^{3/2}}3\,\vec\jmath+\dfrac{e^{3u}}3\,\vec k\right)\bigg|_0^t$

$\vec v(t)=\dfrac{t^3+3}3\,\vec\imath-\dfrac{4t^{3/2}+3}3\,\vec\jmath+\dfrac{e^{3t}-7}3\,\vec k$

and

$\vec r(t)=(2\,\vec\imath+\vec\jmath-\vec k)+\displaystyle\int_0^t\left(\frac{u^3+3}3\,\vec\imath-\frac{4u^{3/2}+3}3\,\vec\jmath+\frac{e^{3u}-7}3\right)\,\mathrm du$

$\vec r(t)=(2\,\vec\imath+\vec\jmath-\vec k)+\left(\dfrac{u^3+12u}{12}\,\vec\imath-\dfrac{8u^{5/2}+15u}{15}\,\vec\jmath+\dfrac{e^{3u}-21u}9\,\vec k\right)\bigg|_0^t$

$\vec r(t)=\dfrac{t^3+12t+24}{12}\,\vec\imath-\dfrac{8t^{5/2}+15t-15}{15}\,\vec\jmath+\dfrac{e^{3t}-21t-10}9\,\vec k$

3 0

4 years ago

Solve x2 + 32x = –255 by completing the square.

Mrrafil [7]

Answer:

-15, -17

Step-by-step explanation:

x^2 + 32x = –255 move the -255 to the left

x^2 + 32x +255=0

What two number when multiplied equal 255? Those same two numbers when added make 32. 17*15 make 255 and added is 32

(x+15)(x+17) For x+15=0 move the 15 to the other side. x= -15. Same with x+17=0 is x= -17

x= -15, -17

3 0

3 years ago

1 What is 411,600,000 in scientific notation.

Eduardwww [97]

Answer: 411.6

Step-by-step explanation: What is 411.6 Million in Scientific Notation?

To answer the question what is 411.6 million in scientific notation let’s recall how to convert 411,600,000 to scientific notation as detailed on our home page.

If you split the number 411600000 into a coefficient and a power of 10 you do get 411.6 million in exponential form, but there is an indefinite number of possibilities.

As you probably want 411.6 million in normalized scientific notation, the coefficient or significand of 411.6m in scientific notation must be in the interval [1,10[.

As there are many ways to express 411.6 million in scientific notation, in this post we mean 411.6 million in normalized scientific notation, unless stated otherwise.

4 0

4 years ago

What is the equation for this graph

igomit [66]

Answer:

y = 50x

Step-by-step explanation:

To find the equation of a graph, we follow the formula: y = mx + c where m is the slope of the graph and c is the y-intercept. For the slope, I will be using the points (0,0) and (2,100)

Slope = $\frac{rise}{run}$