Answer:
w=6
Step-by-step explanation:
P=2(L)+2(w)
48= 2(18)+2w
48=36+2w
12=2w
w=6
checking;
48= 2(18)+2(6)
48= 36+12
48= 48
Answer:
b. A''(7, 5), B''(2, 5), C''(4, –1)
Step-by-step explanation:
Given vertices of ΔABC:
- A = (-1, 0)
- B = (4, 0)
- C = (2, 6)
Translation <u>mapping rule</u>:
(x, y) → (x – 6, y – 5)
Therefore:
- A' = (-1 - 6, 0 - 5) = (-7, -5)
- B' = (4 - 6, 0 - 5) = (-2, -5)
- C' = (2 - 6, 6 - 5) = (-4, 1)
Rotation of 180° clockwise rule:
(x, y) → (-x, -y)
Therefore:
- A'' = (-7, -5) = (7, 5)
- B'' = (-2, -5) = (2, 5)
- C'' = (-4, 1) = (4, -1)
Learn more about transformations here:
brainly.com/question/28354239
brainly.com/question/27743837
Answer:
2
Step-by-step explanation:
<u>Given AP where:</u>
<u>To find</u>
<u>Since</u>
- a₄ = a₁ + 3d
- a₂ = a₁ + d
- a₆ = a₁ + 5d
<u>Initial equations will change as:</u>
- a₁ + 3d = 2(a₁ + d) - 1 ⇒ a₁ + 3d = 2a₁ + 2d - 1 ⇒ a₁ = d + 1
- a₁ + 5d = 7 ⇒ a₁ = 7 - 5d
<u>Comparing the above:</u>
- d + 1 = 7 - 5d
- 6d = 6
- d = 1
<u>Then:</u>
- a₁ = d + 1 = 1 + 1 = 2
- a₁ = 2
The first term is 2
X(3y+2)-6(3y+2)
(x-6)(3y+2)
so the answer is 2+3y