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sergey [27]
3 years ago
9

The coordinate points of triangle ABC are A(5,0), B(2,1), and C(-4,-4). If the triangle is translated 8 units right and 5 units

down, what are the new coordinates?
Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

Answer:

A(13,-5)

B(10,-4)

C(4,-9)

Step-by-step explanation:

Translation of 8 units right >>> affects the "x" coordinate. Add 8 to each x coordinate.

Translation of 5 units down >>> affects the "y" coordinate. Subtract 5 from each y coordinate.

The coordinates are:

A (5,0)

B (2,1)

C (-4,-4)

New coordinates would be:

A (5+8,0-5)

B(2+8,1-5)

C(-4+8,-4-5)

Hence,

A(13,-5)

B(10,-4)

C(4,-9)

These are the new coordinates after the translation given.

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Answer:

47×3+c

Step-by-step explanation:

141+c

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3 years ago
1.The table provides various values, including all minimums and maximums, of a cosine function f (x) on the interval [0, 2π].
ElenaW [278]

Problem 1

<h3>Answer: D) 2pi</h3>

-------------------

Explanation:

The given table we have is

\begin{array}{|c|c|c|c|c|c|c|} \cline{1-7}\text{Angle} & 0 & \pi/6 & \pi/2 & 5\pi/6 & 3\pi/2 & 2\pi\\ \cline{1-7}f(x) & 1 & 0 & -1 & 0 & 3 & 1\\ \cline{1-7}\end{array}

If you were to graph all those points and draw a cosine curve through them, then the function you should get is

y = 2\cos\left(x+\frac{\pi}{2}\right)+1

The B coefficient is 1, so that leads to a period of

T = 2pi/B

T = 2pi/1

T = 2pi

=============================================

Problem 2

<h3>Answer: C) 343.134 yards</h3>

-------------------

Explanation:

Draw out a triangle with these properties

  • side a = 270
  • side b = 170
  • angle C = 100

We'll use the law of cosines to find side c

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 270^2 + 170^2 - 2*270*170*cos(100)

c^2 = 117740.902710

c = sqrt(117740.902710)

c = 343.133943

c = 343.134

=============================================

Problem 3

<h3>Answer: A) 2</h3>

-------------------

Explanation:

If you started with y = sin(x) and applied the transformations stated, then you should end up with y = 2\sin\left(2(x+\frac{\pi}{4})\right)\\\\

From here, plug in x = 0 to find the y intercept.

y = 2\sin\left(2(x+\frac{\pi}{4})\right)\\\\y = 2\sin\left(2(0+\frac{\pi}{4})\right)\\\\y = 2\sin\left(\frac{\pi}{2}\right)\\\\y = 2*1\\\\y = 2\\\\

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3 years ago
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I hope this helps and please don't hesitate to ask if there is anything still unclear!

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