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3 years ago

Complete the equation: x2 + 10x += ()^2

Mathematics

2 answers:

Ahat [919]3 years ago

8 0

Answer:

25 should go in the blank.

Step-by-step explanation:

You can factor and get (x + 5)^2, a perfect square trinomial when put into standard form.

Sliva [168]3 years ago

6 0

Answer:

x2 + 10x +25 = (x+5)^2

Step-by-step explanation:

x^2 + 10x

To complete the square

Take the coefficient of x

Divide by 2

10/2 =5

Square it

5^2 =25

Add it

x2 + 10x +25

The coefficient of x divided by 2 is the factor we add to x inside the square

(x+5)^2

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Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.

rewona [7]

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

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$y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}$

Thus, the area of the surface is as follows:

$\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA$

$= \iint_D \sqrt{x^2 +y^2 +1 } \ dA$

$= \int^{2 \pi}_{0} \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr \ d \theta$

$=2 \pi \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr$

$= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0$

$= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg]$

$= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ]$

3 0

2 years ago

Can someone help it’s due in 40mins!!

Lorico [155]

Answer:

Step-by-step explanation:

$\frac{8}{32} = \frac{4}{16} = \frac{2}{8} = \frac{1}{4}$

$\frac{27}{54} = \frac{9 }{18} = \frac{3}{6} = \frac{1}{2}$

$\frac{36}{24} = \frac{18}{12} = \frac{9}{6} = \frac{3}{2}$

$\frac{30}{60} = \frac{15}{30} = \frac{5}{10} = \frac{1}{2}$

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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zavuch27 [327]

Answer:

It is 9000 cents or $90 total for 5 hours

Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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Complete the equation: x2 + 10x +__= (__)^2

Complete the equation: x2 + 10x += ()^2