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vladimir1956 [14]
4 years ago
9

HEY PLEASE HELP *37 POINTS* ANGLES!!!

Mathematics
1 answer:
Natali5045456 [20]4 years ago
3 0

1) 2x + 7 = 3x - 7 (If II, corr. angles congruent)

-x = -14

x = 14

2x +7 + 12y + 1 = 180 (Linear Pair)

2(14) + 8 + 12y = 180

36 + 12y = 180

12y = 144

y = 12

2) Corresponding Angles

3) 3x + 5x - 36 =  180 (If II, then s. s. int. angles supp.)

   8x = 216

   x = 27

4) The third one is false

5) Let x = third angle in triangle

   158 + x = 180  (Linear Pair)

   x = 22

90 + 22 + m<1 = 180  (Triangle Angle Sum Theorem)

112 + m<1 = 180

m<1 = 68

Hope this helps!

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The graph of y=√x is shifted 2 units up and 5 units left, Which equation represents the new graph?
Zinaida [17]

y = √(x + 5) + 2

<h3>Further explanation</h3>

<u>Given:</u>

The graph of y = \sqrt{x} is

  • shifted 2 units up, and
  • 5 units left.

<u>Question:</u>

Which equation represents the new graph?

<u>The Process:</u>

The translation is a form of transformation geometry.

Translation (or shifting): moving a graph on an analytic plane without changing its shape.

In general, given the graph of y = f(x) and v > 0, we obtain the graph of:  

  • \boxed{ \ y = f(x) + v \ } by shifting the graph of \boxed{ \ y = f(x) \ } upward v units.  
  • \boxed{ \ y = f(x) - v \ } by shifting the graph of \boxed{ \ y = f(x) \ } downward v units.  

That's the vertical shift, now the horizontal one. Given the graph of y = f(x) and h > 0, we obtain the graph of:  

  • \boxed{ \ y = f(x + h) \ } by shifting the graph of \boxed{ \ y = f(x) \ } to the left h units.  
  • \boxed{ \ y = f(x - h) \ } by shifting the graph of \boxed{ \ y = f(x) \ } to the right h units.

Therefore, the combination of vertical and horizontal shifts is as follows:  

\boxed{\boxed{ \ y = f(x \pm h) \pm v \ }}  

The plus or minus sign follows the direction of the shift, i.e., up-down or left-right.

- - - - - - - - - -

Let's solve the problem.

Initially, the graph of y = \sqrt{x} is shifted 2 units up.

\boxed{y = \sqrt{x} \rightarrow is \ shifted \ 2 \ units \ up \rightarrow \boxed{ \ y = \sqrt{x} + 2 \ }}

Followed by shifting 5 units left.

\boxed{y = \sqrt{x} + 2 \rightarrow is \ shifted \ 5 \ units \ left \rightarrow \boxed{ \ y = \sqrt{x + 5} + 2 \ }}

Thus, the equation that represents the new graph is \boxed{\boxed{ \ y = \sqrt{x + 5} + 2 \ }}

The answer is A.

<h3>Learn more</h3>
  1. Which phrase best describes the translation from the graph y = 2(x – 15)² + 3 to the graph of y = 2(x – 11)² + 3? brainly.com/question/1369568
  2. The similar problem of shifting brainly.com/question/2488474  
  3. What transformations change the graph of (f)x to the graph of g(x)? brainly.com/question/2415963

Keywords: the graph of, y = √x, shifted 2 units up, 5 units left, which, the equation, represents, the new graph, horizontal, vertical, transformation geometry, translation

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3 years ago
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What is f(-2) when f(x) = 3x - 5
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Musya8 [376]

Is -x^(2)-x+20 an answer choice?

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maxonik [38]

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Step-by-step explanation:

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Answer:

<h3>              f(x) = 4(x - 4)² - 4  </h3>

Step-by-step explanation:

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so the equation of parabola with the vertex (4, -4) is

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passes through the point (2, 12)  means if x=2 then f(x)=12

12 = a(2 - 4)² - 4  

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Therefore the equation (in vertex form) of parabla is:

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