Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

I need help with it pls

Basile [38]

Answer:

Step-by-step explanation:

Step 1: What are the couch's original coordinates?

A: (-4, 2)
N: (-4, 3)
G: (-1, 3)
L: (-1, 4)
E: (-5, 4)
S: (-5, 2)

Step 2: Rotate the couch 90° counterclockwise.

Rule: (x, y) → (-y, x)

A': (-4, 2) → (-2, -4)
N': (-4, 3) → (-3, -4)
G': (-1, 3) → (-3, -1)
L': (-1, 4) → (-4, -1)
E': (-5, 4) → (-4, -5)
S': (-5, 2) → (-2, -5)

Step 3: Now reflect the "new" couch over the y-axis.

Rule: (x, y) → (-x, y)

A'': (-2, -4) → (2, -4)
N'': (-3, -4) → (3, -4)
G'': (-3, -1) → (3, -1)
L'': (-4, -1) → (4, -1)
E'': (-4, -5) → (4, -5)
S'': (-2, -5) → (2, -5)

Step 4: Finally translate the new new" couch right 1 unit and up 5 units.

Rule: (x + 1, y + 5)

A''': (2, -4) → (2 + 1, -4 + 5) → (3, 1)
N''': (3, -4) → (3 + 1, -4 + 5) → (4, 1)
G''': (3, -1) → (3 + 1, -1 + 5) → (4, 4)
L''': (4, -1) → (4 + 1, -1 + 5) → (5, 4)
E''': (4, -5) → (4 + 1, -5 + 5) → (5, 0)
S''': (2, -5) → (2 + 1, -5 + 5) → (3, 0)

Step 5: Use the distance formula to show that the length of EG is the same as the length of E'''G'''.

EG: (-5, 4)(-1, 3)
E'''G''': (5, 0)(4, 4)

Distance between E(-5, 4) and G(-1, 3)

x₁ = -5
x₂ = -1
y₁ = 4
y₂ = 3

$\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf {d = $\sqrt{(-1-(-5))^2+(3-4)^2}$}\\\\\large \textsf {d = $\sqrt{(-1+5)^2+(3-4)^2}$}\\\\\large \textsf {d = $\sqrt{4^2+(-1)^2}$}\\\\\ \large \textsf {d = $\sqrt{16+1}$}\\\\\large \textsf {d = $\sqrt{17}$}\\\\\large \textsf {d = ${4.12}$}$

Distance between E'''(5, 0) and G'''(4, 4)

x₁ = 5
x₂ = 4
y₁ = 0
y₂ = 4

$\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf {d = $\sqrt{(4-5)^2+(4-0)^2}$}\\\\\large \textsf {d = $\sqrt{(-1)^2+4^2}$}\\\\\large \textsf {d = $\sqrt{1+16}$}\\\\\ \large \textsf {d = $\sqrt{17}$}\\\\ \large \textsf {d = ${4.12}$}$

This means that the length of EG is the same as the length of E'''G'''.

Hope this helps!

4 0

2 years ago

Compute (5 2/3)^2-(4 1/3)^2

g100num [7]

Answer:

40/3

Step-by-step explanation: If you have a calculator type in (5 2/3)^2-(4 1/3)^2. To get 40/3. So in short, square (5 2/3)^2 to get 289/9 and square (4 1/3)^2 to get 169/9. Then subtract the two 289/9-169/9 to get 40/3.

8 0

2 years ago

What is the equation of the line that passes through the point (5, -6) and has a<br> slope of 3/5

Marysya12 [62]

Answer:

y = 3/5x + -9

or y = 3/5x - 9

Step-by-step explanation:

Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b

Here is what this equation stands for:

y = the y in the order pair you are given, in this case it would be -6

m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5

x = the x in the ordered pair you are given, in this case it would be 5

b = This is the y-intercept, you will mostly be solving for this most of the time

(5,-6)

(x, y)

y = mx+b (Use this Formula)

-6 = 3/5(5) +b (The numbers have been substituted within the formula)

-6 = 3+b (simplify the equation by multiplying the slope by the x)

-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")

-9 = b (solve)

y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)

I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!

8 0

2 years ago

What is the diameter of the following circle (x+4)^2 + (y-9)^2 = 18

Elena L [17]

Radius = sqrt(18) = 3*sqrt(2)

diameter = 2(3sqrt(2)) = 6sqrt(2)

3 0

3 years ago

4. Consider the following graph.

AnnZ [28]

Answer:

Step-by-step explanation:

I need help too

7 0

3 years ago

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