Answer:
d = 10.5, a₁ = - 3.5
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 7 and a₄ = 28 , then
a₁ + d = 7 → (1)
a₁ + 3d = 28 → (2)
Subtract (1) from (2) term by term to eliminate a₁
2d = 21 ( divide both sides by 2 )
d = 10.5 ← common difference
Substitute d = 10.5 into (1)
a₁ + 10.5 = 7 ( subtract 10.5 from both sides )
a₁ = - 3.5 ← first term
Answer:
51
Step-by-step explanation:
2+2 = 4
4 - 8 = -4
-4 + 6 = 2
2 - 2 = 0
0 + 9 = 9
9 + 5 = 14
14 - 6 = 8
8 + 6 = 14
14 - 3 = 11
11 + 8 = 19
19 - 1 = 18
18 + 7 = 25
25 - 0 = 25
25 + 8 = 33
33 - 1 = 32
32 + 10 = 42
42 - 2 = 40
40 + 11 = 51
Answer:
The figures are not similar. If the purple rectangle were to get a transformation, then it would grow. For it to be
Step-by-step explanation:
If the purple rectangle were to get a transformation, then it would grow. For it to be similar it would be stretched one way to be as long as the green rectangle, but that's not how this works. Therefore, they are not similar.
Hope this helps <3
Hi there! To solve this question, we can write and solve a proportion. We put shadow/height = shadow/x. We do this, because we're looking for the height of the pole and we already know the how big the shadow of the pole is. The yards need to be converted to feet. There are 3 feet in one yard and 3 * 7/3 is 21/3 or 7 in simplest form. The pole casts a shadow 7 feet tall. Plug in the numbers like this: 3/6 = 7/x. Cross multiply the values in order to get 3x = 42. now, you divide each side by 3 to isolate the "x". When you, you get x = 14. There. The height of the pole is 14 feet. The answer is C: 14 feet.
