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3 years ago

Multiply the radical expression

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

(√x + √3)(√x + 2√3) = (√x)² + 3√3√x + 2(√3)² = x + 3√(3x) + 6

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Answer:

$5^{16}$

Step-by-step explanation:

Exponential rules: add the exponents

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3 years ago

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3 years ago

Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)

zubka84 [21]

Parameterize the line segments (call them $C_1$ and $C_2$ , respectively, by

$\vec r_1(t)=(1-t)(0,0)+t(4,1)=(4t,t)$

$\vec r_2(t)=(1-t)(4,1)+t(5,0)=(4+t,1-t)$

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$\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy$

$=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt$

$=\displaystyle\int_0^115t^2+21t-8\,\mathrm dt=\boxed{\frac{15}2}$

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3 years ago

Find the sum of the geometric sequence -3,15,-75,375,... when there are 7 terms and select the correct answer below.

vivado [14]

Answer:

-39,063

Step-by-step explanation:

In this geometric, sequence, you are multiplying by -5. So, we can continue the sequence by mulitplying 375(your last value) by -5 and so on, until we have 7 total terms.

Now we add the terms together:

-3+15+-75+375+-1875+9375+-46875

=-3+15-75+375-1875+9375-46875

=-39063

Hope this helps :)

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3 years ago

The length of a rectangular window is 5 feet more than its width, w. The area of the

Ilya [14]

Answer:

The equation could be used to find the dimensions of the window would be: $w^{2} + 5w = 36$

Step-by-step explanation:

The length of a rectangular window is 5 feet more than its width, w.

and

The area of the window is 36 square feet.

So it means

$l = w + 5$

$A = lw$

$36 = (w + 5)w$

$w^{2} + 5w = 36$

Therefore, the equation could be used to find the dimensions of the window would be: $w^{2} + 5w = 36$

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3 years ago