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Schach [20]
3 years ago
7

If g is the midpoint of FH find Fg

Mathematics
1 answer:
Tasya [4]3 years ago
4 0

If G is the midpoint of FH find FG

fg=11x-7 gh= 3x+9

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0.3 X 10 to the power of 5!
7 0
2 years ago
Find the value of h(-67) for the function below.
pshichka [43]

Answer:

  • B. 3158

Step-by-step explanation:

<u>Given function:</u>

  • h(x) = -49x − 125

<u>Finding h(-67)</u>

  • h(-67) = -49(-67) - 125 = 3283 - 125 = 3158

Correct option is B.

5 0
2 years ago
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Which graph represents y=<br><img src="https://tex.z-dn.net/?f=3%20%5Csqrt%7B%20%5Ctimes%20%20%2B%206%20-%203%7D%20" id="TexForm
Gnom [1K]

y = ∛ (x + 6 - 3) = ∛ (x +3) -----------> graph this

(see attached)

Check: from formula above, when x = -3, y = 0

Check that this point exists on the graph... it does (check OK!)

edit reason: typo

4 0
3 years ago
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Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
Shtirlitz [24]

Answer:

Option D is correct .i.e., Vertical translation down 9 units

Step-by-step explanation:

Given Function is y = cosec x - 9

Here basic function or parent function is y = cosec x

1. When constant ' a ' is added to to parent function or basic function then the function is translated vertically upward by a units.

2.  When constant ' a ' is subtracted from parent function or basic function then the function is translated vertically downward by a units.

Therefore, Option D is correct .i.e., Vertical translation down 9 units

5 0
3 years ago
Use the given information to find the exact value of the trigonometric function
eimsori [14]
\begin{gathered} \csc \theta=-\frac{6}{5} \\ \tan \theta>0 \\ \cos \frac{\theta}{2}=\text{?} \end{gathered}

Half Angle Formula

\cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}}\tan \theta>0\text{ and csc}\theta\text{ is negative in the third quadrant}\begin{gathered} \csc \theta=-\frac{6}{5}=\frac{r}{y} \\ x^2+y^2=r^2 \\ x=\pm\sqrt[\square]{r^2-y^2} \\ x=\pm\sqrt[\square]{6^2-(-5)^2} \\ x=\pm\sqrt[\square]{36-25} \\ x=\pm\sqrt[\square]{11} \\ \text{x is negative since the angle is on the 3rd quadrant} \end{gathered}\begin{gathered} \cos \theta=\frac{x}{r}=\frac{-\sqrt[\square]{11}}{6} \\ \cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}} \\ \cos \frac{\theta}{2}is\text{ also negative in the 3rd quadrant} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{1+\frac{-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{\frac{6-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}} \\  \\  \end{gathered}

Answer:

\cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}

Checking:

\begin{gathered} \frac{\theta}{2}=\cos ^{-1}(-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}) \\ \frac{\theta}{2}=118.22^{\circ} \\ \theta=236.44^{\circ}\text{  (3rd quadrant)} \end{gathered}

Also,

\csc \theta=\frac{1}{\sin\theta}=\frac{1}{\sin (236.44)}=-\frac{6}{5}\text{ QED}

The answer is none of the choices

7 0
1 year ago
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