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Alecsey [184]
3 years ago
6

Point T has coordinates (-1,3). Point M is symmetric to point T with respect to the line y=1

Mathematics
1 answer:
marin [14]3 years ago
6 0
T (-1, 3) is vertically 2 units away from the line y = 1.
When finding the ordered pair for the new point, M, it must also be 2 units from the line y = 1, but on the opposite of the line. The x-value will not change only the y-value.
Counting two units BELOW the line we get M(-1, -1)
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Fifteen out of 60 participants scored between 17 and 21 on a test. what is the relative frequency of the class interval 17-21?
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The frequency is how often something occurs. Here 15. It occurred 15 times that the participants scored in the interval given.

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Using the following image, apply what you have learned about linear pairs and solve for
posledela
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Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three
RSB [31]

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

f(x)=x^{2}

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

g(x)=-5x^{2}+100x-450

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

g(x)=-5x^{2}+100x-450

Complete the square

g(x)=-5(x^{2}-20x)-450

g(x)=-5(x^{2}-20x+100)-450+500

g(x)=-5(x^{2}-20x+100)+50

g(x)=-5(x-10)^{2}+50

The vertex is the point (10,50)

so

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

5 0
3 years ago
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padilas [110]
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<img src="https://tex.z-dn.net/?f=p%5E%7B2%7D%20%2B6p%3Dq%5E%7B2%7D%2B6q.%5C%5Cp%5Cneq%20q.%5C%5CSolve%20for%20p%2Bq." id="TexFo
Rainbow [258]

Answer:

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