Answer:
y = 7
Step-by-step explanation:

Add -4y and 6y

Move all terms not containing y to the right side of the equation.

Divide both sides by 2

Answer:
Option A
Step-by-step explanation:
System of the inequalities is,
y ≥ 2x
y < x + 4
By satisfying these inequalities with the points given in the options we can get the answer.
Option (A). (2, 5)
y ≥ 2x
5 ≥ 2(2)
5 ≥ 4
True.
y < x + 4
5 < 2 + 4
5 < 6
True
Therefore, Option (1) is the answer.
Option (B) (1, 6)
y ≥ 2x
6 ≥ 2(1)
6 ≥ 2
True.
y < x + 4
6 < 1 + 4
6 < 5
False.
Therefore, it's not the solution.
Option (C) (2, 3)
y ≥ 2x
3 ≥ 2(2)
3 ≥ 4
False.
y < x + 4
4 < 2 + 4
4 < 6
True.
Therefore, It's not the solution.
Option (D) (1, 5)
y ≥ 2x
5 ≥ 2(1)
5 ≥ 4
True.
y < x + 4
5 < 1 + 4
5 < 5
False.
Therefore, It's not the solution.
Answer:
y = -1/2x - 11/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-4 - (-5) / -3 - (-1)
1/ -2
= -1/2
y = -1/2x + b
-5 = -1/2(-1) + b
-5 = 1/2 + b
-11/2 = b
Answer:
neither
geometric progression
arithmetic progression
Step-by-step explanation:
Given:
sequences: 


To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them
Solution:
A sequence forms an arithmetic progression if difference between terms remain same.
A sequence forms a geometric progression if ratio of the consecutive terms is same.
For
:

Hence,the given sequence does not form an arithmetic progression.

Hence,the given sequence does not form a geometric progression.
So,
is neither an arithmetic progression nor a geometric progression.
For
:

As ratio of the consecutive terms is same, the sequence forms a geometric progression.
For
:

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.
Answer:
Step-by-step explanation:
<u>Perimeter is:</u>
- P = a + b + c
- P = 4x - 3 + x + 9 + 8 = 5x + 14
<u>Area is:</u>
- A = 1/2bh
- A = 1/2*8*3x = 12x
Correct choice is A