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3 years ago

Given the following coordinates complete the glide reflection transformation.

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

7 0

9514 1404 393

Answer:

A"(-1, -2)
B"(4, 0)
C"(6, -3)

Step-by-step explanation:

The reflection over the x-axis is ...

(x, y) ⇒ (x, -y)

The shift left 3 units is ...

(x, y) ⇒ (x -3, y)

So, the two transformations together will be ...

(x, y) ⇒ (x -3, -y)

A(4, 2) ⇒ A"(1, -2)

B(7,0) ⇒ B"(4, 0)

C(9, 3) ⇒ C"(6, -3)

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4 years ago

What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?

agasfer [191]

Answer:

y = $\frac{2}{5}$ x + $\frac{4}{5}$

Step-by-step explanation:

Calculate the slope of line m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m = $\frac{-3-2}{0-(-2)}$ = $\frac{-5}{0+2}$ = - $\frac{5}{2}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{5}{2} }$ = $\frac{2}{5}$ , then

y = $\frac{2}{5}$ x + c ← is the partial equation in slope- intercept form

To find c substitute (3, 2 ) into the partial equation

2 = $\frac{6}{5}$ + c ⇒ c = 2 - $\frac{6}{5}$ = $\frac{4}{5}$

y = $\frac{2}{5}$ x + $\frac{4}{5}$ ← equation of perpendicular line

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2 years ago

The distance from fallston to Everett is 221 miles. The school vans gets 14 miles per gallon. What is the number of gallons of g

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There are 221 mile to be covered , with every 14 miles travelled with one gallon .

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3 years ago

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36:39 in simplest form is 12:13

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3 years ago

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a kitchen makes 2,944 oz. of soup each week, ther are 128 oz. in 1 gallon. how many gallons of soup does the kitchen make in 2 w

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✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

Hello!

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

❖ 46 gallons

2944/128 = 23

23 gal = 1 week

23 x 2 = 46

46 gal = 2 weeks

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

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3 years ago

Given the following coordinates complete the glide reflection transformation.​

Given the following coordinates complete the glide reflection transformation.