Basically the question is asking if the proportions for the dimensions of the 2 rugs are the same, so in this case yes, since 6 X 8 can be written as 3 X 4 which if you set up a fraction you can easily multiply both the top and bottom number by 3 to get 9 X 12.
Answer:
The equation of the line is y - 3 = 2.5(x - 2) ⇒ D
Step-by-step explanation:
The rule of the slope of a line is m =
, where
- (x1, y1) and (x2, y2) are two points on the line
The point-slope form of a line is y - y1 = m(x - x1), where
- (x1, y1) is a point on the line
From the given figure
∵ The line passes through points (2, 3) and (0, -2)
∴ x1 = 2 and y1 = 3
∴ x2 = 0 and y2 = -2
→ Substitute them in the rule of the slope to find it
∵ m = 
∴ m = 2.5
→ Substitute the values of m, x1, y1 in the form of the equation above
∵ m = 2.5, x1 = 2, y1 = 3
∵ y - 3 = 2.5(x - 2)
∴ The equation of the line is y - 3 = 2.5(x - 2)
Answer:
Arithmetic sequence.
Step-by-step explanation:
We have been given a sequence : -2, 0, 2, 4, 6. We are asked to define the type of our given sequence.
We can see from our given sequence that each next term is 2 more than the previous term of the sequence.



Since the difference between the consecutive terms is constant and each next term is produced by adding 2 to preceding term, therefore, our given sequence is an arithmetic sequence.
Answer:
98
Step-by-step explanation:
2 (x + y) ²
= 2 (3 + 4 ) ²
= 2 x 7²
= 2 x 49
= 98
Answer:
a=3
b=3
Step-by-step explanation:
(2xy)^4
----------------
4xy
Expand the numerator
2^4 x^4 y^4
---------------------
4xy
Simplify
16 x^4 y^4
---------------------
4xy
We know that a^b / a^c = a^(b-c)
16/4 * x^(4-1) y^(4-1)
4 x^3 y^3