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vladimir1956 [14]
3 years ago
13

HELP PLEASE !

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0

Answer:

b=2

Step-by-step explanation:

Changing the y-intercept would move the graph down or up.

So we have the equation y=\frac{-2}{3}x+5.

We want to move the graph down 3 units.  We want the y-intercept to be 3 units lower than what is was.  Since 5-3 is 2, then the new y-intercept is 2.

The equation would  then be y=\frac{-2}{3}x+2.

So b=2.

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Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}

b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}

b \approx 15.022

Angle A (Law of Cosine)

\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}

\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}

\cos A = 0.315

A= \cos^{-1} 0.315

A \approx 71.639^{\circ}

Angle C (Sum of internal angles in triangles)

C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}

C = 45.361^{\circ}

Hence, the right answer is B.

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