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givi [52]
3 years ago
6

Which relationship describes angles 1 and 2?

Mathematics
2 answers:
pav-90 [236]3 years ago
7 0
Angles 1 and 2 are supplementary angels because they form a line.
Angles 1 and 2 are adjacent angles because they share an interior ray and they have a common vertex.
irakobra [83]3 years ago
6 0

The answers are supplementary and adjacent

I hope this helps!

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Simplify the expression c^-6 * d^4/ c^-16 * d^14​
Naily [24]

Answer:

\dfrac{c^{10}}{d^{10}}

Step-by-step explanation:

Although the way you wrote problem, this is not what it looks like, I think this is what you meant.

\dfrac{c^{-6} \times d^{4}}{c^{-16} \times d^{14}} =

= \dfrac{c^{-6}}{c^{-16}} \times \dfrac{d^{4}}{d^{14}}

= c^{-6 - (-16)} \times d^{4 - 14}

= c^{-6 + 16} \times d^{-10}

= c^{10} \times d^{-10}

= \dfrac{c^{10}}{d^{10}}

7 0
3 years ago
Solve the equation kx+9=7 for x
Alika [10]

Answer:

x=-2/k

Step-by-step explanation:

To solve you need to make x on one side while the other variables or numbers on the other.

First, you need to move the 9 to the other side by subtracting 9 from both sides: kx+9-9=7-9

Simplify: kx=-2

Now you need to divide by k into both sides in order to eliminate the k on kx:

x=-2/k

Answer: x=-2/k

Hope this helps!

3 0
2 years ago
Read 2 more answers
Solve for x. Tx-ux=3t
Veronika [31]
<span>x(t-u) = 3t
dividing both sides by (t-u):
So.. </span><span><em>x = 3t/(t-u)</em></span>
6 0
3 years ago
Integral of 17/(x^3-125)
daser333 [38]

Answer:

17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

Step-by-step explanation:

∫ 17 / (x³ − 125) dx

= 17 ∫ 1 / (x³ − 125) dx

= 17 ∫ 1 / ((x − 5) (x² + 5x + 25)) dx

Use partial fraction decomposition:

= 17 ∫ [ A / (x − 5) + (Bx + C) / (x² + 5x + 25) ] dx

Use common denominator to find the missing coefficients.

A (x² + 5x + 25) + (Bx + C) (x − 5) = 1

Ax² + 5Ax + 25A + Bx² − 5Bx + Cx − 5C = 1

(A + B) x² + (5A − 5B + C) x + 25A − 5C = 1

Match the coefficients and solve the system of equations.

A + B = 0

5A − 5B + C = 0

25A − 5C = 1

A = 1/75

B = -1/75

C = -2/15

So the integral is:

= 17 ∫ [ 1/75 / (x − 5) + (-1/75 x − 2/15) / (x² + 5x + 25) ] dx

Simplify:

= 17/75 ∫ [ 1 / (x − 5) − (x + 10) / (x² + 5x + 25) ] dx

Factor ½ from the numerator of the second fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 20) / (x² + 5x + 25) ] dx

Split the fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − ½ (15) / (x² + 5x + 25) ] dx

Multiply the last fraction by 4/4:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 30 / (4x² + 20x + 100) ] dx

Complete the square:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 15 / ((2x + 5)² + 75) ] dx

Split the integral:

= 17/75 ∫ 1 / (x − 5) dx − 17/150 ∫ (2x + 5) / (x² + 5x + 25) dx − 17/5 ∫ 1 / ((2x + 5)² + 75) dx

The first integral is:

∫ 1 / (x − 5) dx = ln│x − 5│

The second integral is:

∫ (2x + 5) / (x² + 5x + 25) dx = ln(x² + 5x + 25)

The third integral is:

∫ 1 / ((2x + 5)² + 75) dx = 1/√75 tan⁻¹((2x + 5) / √75)

Plug in:

= 17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

4 0
3 years ago
Someone help plz????
slega [8]

Answer:

the answer is 24.1 MM

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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