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3 years ago

−3a2 − b3 + 3c2 − 2b3 if a = 2, b = −1, and c = 3.

1 answer:

5 0

((−3)(2))(2)−(−1)(3)+(3)(3)(2)−(2)(−1)(3)

=(−6)(2)−(−1)(3)+(3)(3)(2)−(2)(−1)(3)

=−12−(−1)(3)+(3)(3)(2)−(2)(−1)(3)=−12−(−3)+(3)(3)(2)−(2)(−1)(3)

=−9+(3)(3)(2)−(2)(−1)(3)

=−9+(9)(2)−(2)(−1)(3)

=−9+18−(2)(−1)(3)

=9−(2)(−1)(3)

=9−(−2)(3)

=9−(−6)

=15

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part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.

Nat2105 [25]

Answer: $\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}$

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse

$9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}$

Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12

$10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}$

Note: 12² + opposite² = 20² → opposite = 16

$11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: adjacent² + 5² = 6² → adjacent = √11

$12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}$

Note: adjacent² + 7² = (13√2)² → adjacent = 17

5 0

3 years ago

Suppose that the function g is defined, for all real numbers, as follows.

svetoff [14.1K]

Answer:

a) g(-2) = 0

b) g(-1) =1

c) g(4) = 2

Step-by-step explanation:

Given data

$g(x) = \frac{-1}{4x+1} if x < -2$

$g(x) = - (x+1)^{2} +1 if -2\leq x\leq 2$

$g(x) = 2 if x >2$

Step( i ):-

$g(x) = - (x+1)^{2} +1 if -2\leq x\leq 2$

put x = -2

$g(-2) = -(-2+1)^{2} +1 = -(-1)^{2}+1 = -1+1 =0$

g(-2) = 0

Step(ii):-

$g(x) = - (x+1)^{2} +1 if -2\leq x\leq 2$

Put x = -1

$g(-1) = -(-1+1)^{2} +1 = -(0)^{2}+1 = -0+1 =1$

g(-1) =1

Step(iii):-

$g(x) = 2 if x >2$

g(4) = 2

7 0

3 years ago

Borrowed $250

Fittoniya [83]

Answer:

Total interest paid:

$83.73

Total payments:

$333.73

8 0

2 years ago

Put these in order from least to greatest kilometer,millimeter,inches,yards,centimeter,miles,meter

Dafna11 [192]

centimeter, inch, yard, meter, kilometer, mile

7 0

2 years ago

Please help will mark brainliest

Wewaii [24]

Since this is a triangle all the angles within the triangle add up to 180 degrees so....
82+(9x+2)+(7x)=180
82+2+16x=180
16x+84=180
16x=96
X=6
If we plug in X to angle(9x+2) and angle (7x) we will get 56 and 42. We can get angle 2 by subtracting 180-42 which is 138
FINAL ANSWER: 138 degrees

4 0

2 years ago