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BigorU [14]
3 years ago
12

Explain 2 other ways other than rotating 180 degrees counterclockwise or clockwise, that would allow the point to find it’s way

to the same place from its original position. Hint: You may combine transformations.

Mathematics
1 answer:
oee [108]3 years ago
6 0
Check picture 1

Notice that a 180° rotation clockwise or counterclockwise (around the origin) send any point P(a, b) to a point with coordinates (-a, -b).

this means the number values of the respective x and y coordinates are the same, but the signs are different.

for example rotating point P(-3, 17) 180 degrees results in point (3, -17)


check picture 2.

reflecting point P(a, b) with respect to :

the y-axis results in point (-a, b)


the x-axis results in point (a, -b)


for example , consider point P(-3, 17)

reflecting this point with respect to the y axis, results in (3, 17)

reflecting (3, 17) with respect to the x-axis results in (3, -17)


So the effect of reflecting with respect to the y axis, the x axis (the other way around is the same) results in the same point as rotating 180 degrees.


Answer:

1) reflect with respect to the y-axis, then reflect this last point with respect to the x-axis

2) reflect with respect to the x-axis, then reflect this last point with respect to the y-axis

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What is the equation in slope-intercept from of the line that passes through the points (-4,47) and (2,-16
Harrizon [31]

Answer:

<h3>Y=-21/2x+5</h3>

Step-by-step explanation:

<u><em>SLOPE FORMULA:</em></u>

y₂-y₁/x₂-x₁=rise/run

<u><em>SLOPE-INTERCEPT FORM:</em></u>

y=mx+b

m represents the slope.

b represents the y-intercept.

y₂=(-16)

y₁=47

x₂=2

y₁=(-4)

Solve.

\displaystyle \mathsf{\frac{(-16)-47}{2-(-4)}=\frac{21}{6}=\frac{21}{2}=-\frac{21}{2}   }}

Furthermore, the y-intercept is 5.

y=-21/2x+5

The correct answer is y=-21/2x+5.

6 0
3 years ago
Please help figure out I will give brainliest!
noname [10]

Answer:

40 student 110 adult

this is using desmos

but to smash the equation you can go like basically we have to cancel out each variable to solve for the other

3x + 8y = 1000

x + y < =150

-3(x + y <= 150)

-3x -3y = -450

3x + 8y = 1000

5y = 550

y= 110

3x + 8 y = 1000

-8(x+y<=150) = -8x - 8y <= -1200

-5x = -200

\frac{ - 5x}{ - 5 }   = x

\frac{ - 200}{ - 5}  = 40

x= 40

40 kids 110 adults

7 0
2 years ago
Which statement about the equation y = 5x – 8 is correct?
lbvjy [14]

9514 1404 393

Answer:

  A. The equation represents a linear function because the equation is in the form y = mx + b

Step-by-step explanation:

A linear function does not have to be in the form y = mx + b, but if a function is in that form, it is a linear function.

  choice A is appropriate

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A function may have two variables, x and y, and not be a linear function. For example, y = x² is not a linear function. The fact that it has two variables is not what makes it linear.

7 0
3 years ago
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Algebra Question ( Matrices and Determinants ) 20 point
blagie [28]
The determinant of a 2 x 2 matrix can be calculated as:
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So,

Determinant G = 12(2) - (-6)(0)

Determinant G = 24 - 0 = 24

So, option B gives the correct answer
6 0
3 years ago
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stiv31 [10]

Answer:

x = i√3, -i√3

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8 0
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