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svetoff [14.1K]
3 years ago
9

Simplify 6x+9/15x^2 divided by 16x-12/10^4

Mathematics
1 answer:
e-lub [12.9K]3 years ago
6 0
there is the process

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Determine a pair of angles (one positive and one negative) in degree measure coterminal to the angle 117°.​
andre [41]

Answer:

Option B.

Step-by-step explanation:

When we have an angle A, in degrees, the coterminal angles are all the angles that can be written as:

B = A + n*360°

Where n is a positive or a negative integer (if n = 0, then B = A, which means that A is coterminal with itself, which is trivial).

Now we want to find two coterminal angles to 117°, such that one is positive and the other negative.

Then we can do:

for the positive one, use n = 1.

B = 117° + 1*360° = 477°

For the negative one, use n = -1

B = 117° - 1*360° = -243°

Then the two angles are 477° and -243°

The correct option is B.

4 0
3 years ago
Read 2 more answers
Evaluate the following integral using trigonometric substitution.
wariber [46]

Answer:

Step-by-step explanation:

1. Given the integral function \int\limits {\sqrt{a^{2} -x^{2} } } \, dx, using trigonometric substitution, the substitution that will be most helpful in this case is substituting x as asin \theta i.e x = a sin\theta.

All integrals in the form \int\limits {\sqrt{a^{2} -x^{2} } } \, dx are always evaluated using the substitute given where 'a' is any constant.

From the given integral, \int\limits {7\sqrt{49-x^{2} } } \, dx = \int\limits {7\sqrt{7^{2} -x^{2} } } \, dx where a = 7 in this case.

The substitute will therefore be   x = 7 sin\theta

2.) Given x = 7 sin\theta

\frac{dx}{d \theta} = 7cos \theta

cross multiplying

dx = 7cos\theta d\theta

3.) Rewriting the given integral using the substiution will result into;

\int\limits {7\sqrt{49-x^{2} } } \, dx \\= \int\limits {7\sqrt{7^{2} -x^{2} } } \, dx\\= \int\limits {7\sqrt{7^{2} -(7sin\theta)^{2} } } \, dx\\= \int\limits {7\sqrt{7^{2} -49sin^{2}\theta  } } \, dx\\= \int\limits {7\sqrt{49(1-sin^{2}\theta)}   } } \, dx\\= \int\limits {7\sqrt{49(cos^{2}\theta)}   } } \, dx\\since\ dx = 7cos\theta d\theta\\= \int\limits {7\sqrt{49(cos^{2}\theta)}   } } \, 7cos\theta d\theta\\= \int\limits {7\{7(cos\theta)}   }}} \, 7cos\theta d\theta\\

= \int\limits343 cos^{2}  \theta \, d\theta

8 0
3 years ago
WILL GGIVE BRAINLIEST!!!
Citrus2011 [14]

(3x+6)(2x^2), using the distributive property, equals 2x^2*3x+2x^2*6. We multiply the 2 with the coefficients and add a power of x if multiplied by x, getting 6x^3+12x^2

3 0
3 years ago
Anyone know the answer?
FrozenT [24]
I legit can’t see it
8 0
3 years ago
What is the imaginary part of the number 9?​
KengaRu [80]

Answer:

<h2>0i</h2>

Step-by-step explanation:

The imaginary number has form:

<em>a + bi</em>

<em>a</em><em> - real part</em>

<em>bi</em><em> - imaginary part</em>

<em>i</em><em> - imaginary unit (i = √-1)</em>

We have the number 9.

<em>9</em><em> is a real part</em>

An imaginary part is equal 0.

Therefore the imaginary part of number 9 is 0i.

4 0
3 years ago
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