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3 years ago

3x+3=3y 2x-6y=2 (Solving Systems Of Linear Equations By Elimination)

1 answer:

8 0

3x+3=3y ⇒ 3y-3x=3 ⇒3(y-x)=3 ⇒ y-x=1
2x-6y=2 ⇒ 2(x-3y)=2 ⇒ x-3y=1

We must to collect two equations.
x's is lost;
y-3y=2
-2y=2
y=-1 ; x-3.(-1)=1 ⇒ x=-2

Answer is (-2,-1)

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The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

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3 years ago

What fractional part of a pound is an ounce

svetoff [14.1K]

Since there are 16 oz in a pound, it would be 1/16

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3 years ago

Malcolm ran the 440-yard and the 220-yard dash at a track meet.There are 3 in one yard. How many total feet did Malcolm run?Esti

Tresset [83]

For this case we have the following conversions:

1 yard = 3 feet

The estimate distance Is:

400yd = 1200feet

200yd=600 feet

Ten, the estimate Is:

1200 + 600 = 1800 feet

The real distance Is:

The total distance in yards is given by:

440 + 220 = 660 yd

Then, let's transform this distance to feet, with the given conversion:

660 * 3 = 1980 feet

The distance traveled is reasonable for a person

Comparing the estimate and the actual answer, the distance malcom Ran Is reasonable.

Answer:

Malcolm ran 1980 feet.

The distance is reasonable.

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What is .0091 rounded to the hundredths

-BARSIC- [3]

.0091 rounded to the nearest hundredths is .01.

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Square root of 97.5÷1.96

kirill [66]

7.0530;

$\sqrt{\frac{97.5}{1.96} } =
\sqrt{49.7449} = 7.0530$

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