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maxonik [38]
3 years ago
11

If -7 +3x=-25, what is the value of x^2-6x+9

Mathematics
2 answers:
Musya8 [376]3 years ago
4 0
Add seven to both sides of the equal sign. Now you have 3x= -18 Then divide by three on each side. Now you have x= -6 Then plug it in. -6^2-6(-6)+9 The answer to that is 9
Debora [2.8K]3 years ago
3 0
It's so much better when there's a pic. :D

Work is attached.

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Someone pls help, its on trig ratios.
Mars2501 [29]

Answer:

BC=12.8,\\AC=15.1

Step-by-step explanation:

In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.

Therefore, we have the following equation:

\tan 58^{\circ}=\frac{BC}{8}

Solving, we get:

BC=8\tan 58^{\circ}\approx \boxed{12.8}

Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.

\cos 58^{\circ}=\frac{8}{AC},\\AC=\frac{8}{\cos 58^{\circ}},\\AC\approx \boxed{15.1}

We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.

Using the Pythagorean theorem to verify our answers:

8^2+(8\tan 58^{\circ})^2=\left(\frac{8}{\cos 58^{\circ}}\right)^2\:\checkmark

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3 years ago
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