6 > y + 2.5
I think srry if it's wrong
Answer:
-121.4.
Step-by-step explanation:
2+4+-56×43÷20+46-53 Multiply and divide are done first:
= 2+4 + -2408 / 20 + 46 - 53
= 2 + 4 - 120.4 + 46 - 53
= -114.4 - 7
= -121.4.
It’s a proportional relationship because all of the points on the graph create a straight line
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

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

This means that the length of EG is the same as the length of E'''G'''.
Hope this helps!
Answer:
y - 8 = (3/2)(x + 4)
Step-by-step explanation:
As we move from (-4, 8) to (2, -1), x increases by 6 (this is the run) and y decreases by 9 (this is the "rise"). Thus, the slope is
m = rise / run = 9/6, or 3/2.
Using the point-slope form of the equation of a straight line, we get:
y - 8 = (3/2)(x + 4)