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hodyreva [135]
3 years ago
8

Find an expression for c that will make 9x2 + 12xy +c aperfect square trinomial

Mathematics
1 answer:
dezoksy [38]3 years ago
4 0

Answer: To find the value , divide the coefficient of by and square the result.

Step-by-step explanation:Use the formula  ( b 2 ) 2        in order to create a new term in order to find the perfect square trinomial.

9 x 2 − 12 x + c + 4

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Solve dis attachment and show all work ( I got it all wrong and I want to know how to solve it )
DedPeter [7]
(a) First find the intersections of y=e^{2x-x^2} and y=2:

2=e^{2x-x^2}\implies \ln2=2x-x^2\implies x=1\pm\sqrt{1-\ln2}

So the area of R is given by

\displaystyle\int_{1-\sqrt{1-\ln2}}^{1+\sqrt{1-\ln2}}\left(e^{2x-x^2}-2\right)\,\mathrm dx

If you're not familiar with the error function \mathrm{erf}(x), then you will not be able to find an exact answer. Fortunately, I see this is a question on a calculator based exam, so you can use whatever built-in function you have on your calculator to evaluate the integral. You should get something around 0.5141.

(b) Find the intersections of the line y=1 with y=e^{2x-x^2}.

1=e^{2x-x^2}\implies 0=2x-x^2\implies x=0,x=2

So the area of S is given by

\displaystyle\int_0^{1-\sqrt{1-\ln2}}\left(e^{2x-x^2}-1\right)\,\mathrm dx+\int_{1-\sqrt{1-\ln2}}^{1+\sqrt{1-\ln2}}(2-1)\,\mathrm dx+\int_{1+\sqrt{1-\ln2}}^2\left(e^{2x-x^2}-1\right)\,\mathrm dx
\displaystyle=2\int_0^{1-\sqrt{1-\ln2}}\left(e^{2x-x^2}-1\right)\,\mathrm dx+\int_{1-\sqrt{1-\ln2}}^{1+\sqrt{1-\ln2}}\mathrm dx

which is approximately 1.546.

(c) The easiest method for finding the volume of the solid of revolution is via the disk method. Each cross-section of the solid is a circle with radius perpendicular to the x-axis, determined by the vertical distance from the curve y=e^{2x-x^2} and the line y=1, or e^{2x-x^2}-1. The area of any such circle is \pi times the square of its radius. Since the curve intersects the axis of revolution at x=0 and x=2, the volume would be given by

\displaystyle\pi\int_0^2\left(e^{2x-x^2}-1\right)^2\,\mathrm dx
5 0
3 years ago
What caused the faulting and uplift in the central Texas ecoregions? a Earthquakes broke the continental crust. b A lot of sedim
devlian [24]

Answer:

Hello! Your answer is, A)Earthquakes broke the continental crust.

Step-by-step explanation:

Hope I helped! Ask me anything if you have any questions! Brainiest plz. Hope you make an 100% and have a nice day! -Amelia♥

3 0
3 years ago
The diameter of a sphere is 2,160 mm. The diameter of a second sphere is 7,520 mm. Approximately how many times larger is the vo
fgiga [73]

Answer:

Approximately 42 times larger

Step-by-step explanation:

The diameter of a sphere is 2,160 mm.

The diameter of a second sphere is 7,520 mm.

To see how many times larger is the diameter of second sphere is than the diameter of the second sphere, we divide to get:

k =  \frac{7520}{2160}

k = 3.481

To see how many times larger the volume is, we cube both sides

{k}^{3}  =  {3.481}^{3}

This implies that

{k}^{3}  = 42.181

Therefore the volume of the second sphere is approximately 42 times larger

3 0
3 years ago
1.8 = 2.1h - 5.7 - 4.6h <br> h= __
Blababa [14]

Answer:

how are you doing

Step-by-step explanation:

7 0
3 years ago
Abby can buy an 8-pound bag of dog food for $7.40 or a 4- pound of the same dog food for 5.38. Which is better buy?
My name is Ann [436]
The answer to your Q the better one it is the 4- pound bag because it coast less money
7 0
3 years ago
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