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Xelga [282]
3 years ago
8

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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What is (5^7)(5^9) as a number to a single<br> power?
Advocard [28]

Answer:

5^{16}

Step-by-step explanation:

Exponential rules: add the exponents

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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)

both with 0\le t\le1. Then

\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}

6 0
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 :)

8 0
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:

as

  • 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

8 0
3 years ago
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