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amid [387]
3 years ago
11

Question 10 (4 points) Point A, located at (4, 1), is reflected over the x-axis and then translated (x - 3, y + 7). Write the lo

cation of A' ​
Mathematics
1 answer:
natita [175]3 years ago
7 0

Answer:

(1, 6)

Step-by-step explanation:

Reflecting (4, 1) over the x-axis makes it (4, -1), the translation (x - 3, y + 7) means moving (4, -1) 3 left and 7 up

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Find the six trigonometric function values for angle ∅ where its adjacent side is -9 and its hypotenuse is 41. (Theta is located
arsen [322]
Check the picture below.

\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\sqrt{41^2-(-9)^2}=b\implies \sqrt{1681-81}=b\\\\\\ \sqrt{1600}=b\implies 40=b\\\\
-------------------------------

\bf sin(\theta )=\cfrac{\stackrel{opposite}{40}}{\stackrel{hypotenuse}{41}}\qquad~~  cos(\theta )=\cfrac{\stackrel{adjacent}{-9}}{\stackrel{hypotenuse}{41}}\qquad~~  tan(\theta )=\cfrac{\stackrel{opposite}{40}}{\stackrel{adjacent}{-9}}
\\\\\\
csc(\theta )=\cfrac{\stackrel{hypotenuse}{41}}{\stackrel{opposite}{40}}\qquad ~~sec(\theta )=\cfrac{\stackrel{hypotenuse}{41}}{\stackrel{adjacent}{-9}}\qquad ~~cot(\theta )=\cfrac{\stackrel{adjacent}{-9}}{\stackrel{opposite}{40}}

3 0
3 years ago
Collins has a part-time job as a dog walker. The table below shows the amount of money Collins earned for different numbers of h
kondor19780726 [428]

Answer:

See below.

Step-by-step explanation:

Part A:

For Dog walking, he earns $30 for 5 hours of work.

He earns $36 for 6 hours of work.

$30/5 hours = $6/hour

$36/6 hours = $6/hour

He earns $6/hour dog walking.

For 8 hours, he earns 8 hours * $6/hour = $48

To earn $66, he works 66/6 = 11 hours.

5 30

6 36

8 48

11 66

Part B:

He earns $7/hour for yard work, so multiply the number of hours by 7 to find the money he earns.

Table for yard work

Hours     Money

5             $35

6             $42

8             $56

Part C:

For 5 hours, he earns $35 for yard work and $30 as a dog walker.

$35 - $30 = $5

3 0
3 years ago
Precalc experts! I need your help!
mars1129 [50]

Answer:

  f(x)\to 1

Step-by-step explanation:

The function approaches its horizontal asymptote in both directions as the magnitude of x gets large. The limit is y = 1.

7 0
3 years ago
Use the picture attached!!
evablogger [386]

Answer:

The Correct Answer is C.0.

Hope it hepls you Czn!

Please Mark me as Brainleast!!!!!!!!

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2 years ago
Use symmetry to graph the inverse of the function.
Olin [163]
<h2>Answer:</h2>

a. is the correct option

<h2>Step-by-step explanation:</h2>

The graph of a function f and its inverse function f^{-1} are related to each other. The relationship between these two graphs can be explained by taking a point (a,b) that is on the graph of f, then point (b,a) must lie on the graph f^{-1} and vice versa meaning that the graph of f^{-1} is a reflection of f in the line y=x. The only graph that meet this requirement is the option a. For instance, the point (0,5) is on the graph of f while the point (5,0) is on the graph of f^{-1} as indicated below.

5 0
3 years ago
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