Essentially, what you are doing is taking each individual point and moving that point as specified.
So, for example, problem 1 has coordinates as follows: (be aware: I have terrible eyesight, so the points are being named based on what I think the letters are).
X: located at (2,0), move 1 unit left, new location: (1,0)
G: located at (4,0), move 1 unit left, new location: (3,0)
Q: located at (2,-2), move 1 unit left, new location: (1,-2)
C: located at (3,-4), move 1 unit left, new location: (2,-4)
Now, just plot the new shape.
Let me know if you need more help!
Answer:
y = - 2x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ = (- 2, 2) and (x₂, y₂ ) = (1, - 4)
m =
=
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, 2), then
2 = 4 + c ⇒ c = 2 - 4 = - 2
y = - 2x - 2 ← equation of line
Answer:
Option B
Step-by-step explanation:
Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides
Area of the triangular sides = 2(Area of the triangular base)
= ![2[\frac{1}{2}(\text{Base})(\text{Height})]](https://tex.z-dn.net/?f=2%5B%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7BBase%7D%29%28%5Ctext%7BHeight%7D%29%5D)
= 10 × 12
= 120 ft²
Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)
= (10 + 13 + 13)(15)
= 36 × 15
= 540 ft²
Surface area of the prism = 120 + 540
= 660 square feet
Option B will be the answer.
The answer would be 34. The pattern looks like they are adding the sum to the next expression. So 21+5+8=34. Hope I could help!!:-)))