Answer:
y = 2x - 3
Step-by-step explanation:
Since the equation for the line y = 2x + 5 is already in slope-intercept form (y = mx + b), the slope (m) is 2. A parallel line will have the same slope. Now use point-slope formula to find an equation for the parallel line including point (3,3). Point-slope formula is:
(y – y₁) = m(x – x₁), where m is the slope (2) and (x₁, y₁) is the point the line passes through (3,3).
Therefore:
(y – 3) = 2 (x – 3)
y – 3 = 2x – 6
y – 3 + 3 = 2x – 6 + 3
y = 2x - 3
Answer:
84ft
Step-by-step explanation:
The formula to find the area of a parallelogram is b x h.
The base is 14ft and the height is 6ft. Multiply these together.
14 x 6 = 84ft
The answer is roughly 13.
Answer:
25x - 45 = 5(5x - 9)
Step-by-step explanation:
Find the greatest common factor (GCF) of 25 and 45.
You can do this several ways, but one way is to list all the factors of both numbers and find the greatest common one:
Factors of 25: 1, 5, 25
Factors of 45: 1, 3, 5, 9, 15, 45
Therefore, 25 and 45 have 2 common factors: 1 and 5
So the greatest common factors is 5
25x - 45 = 5(ax - b)
To find the value of a, simply divide 25 by 5: 25 ÷ 5 = 5
To find the value of b, divide 45 by 5: 45 ÷ 5 = 9
25x - 45 = 5(5x - 9)