Answer:
Parallel Line: y = 3x - 5
Perpendicular Line: y = -1/3x + 25/3
Step-by-step explanation:
The equation given is a linear equation in slope-intercept form, y = mx + b, where m = slope and b = y-intercept. With lines that are parallel to each other, they containt the same slope. So, to form an equation of a line that is parallel to the first equation, the slope = 3. Using the given point (4, 7), x = 4 and y = 7, we can use our slope-intercept form to solve for 'b':
7 = (3)(4) + b or 7 = 12 + b or b = -5
So, our equation for a parallel line would be: y = 3x - 5.
For perpendicular lines, the slope must be the opposite reciprocal of the slope from the first equation. So, if m = 3, than the slope of the perpendicular line must be - 1/3. Using the same point (4, 7) we can use our slope-intercept form to solve for 'b':
7 = (-1/3)(4) + b or 7 = -4/3 + b or b = 25/3
So, our equation for a perpendicular line would be: y = -1/3x + 25/3
Answer:
x=1/3
Step-by-step explanation:
You have to isolate the variable, so you must first separate the constants from the variable. Add 3 on both sides to cancel out the minus three and to move it to the other side. Now you have 27x=9. It's pretty simple from there just use your calculator and divide 27x/27 and also 9/27. That leaves you with 1/3
Answer:
L = 15, W = 8
Step-by-step explanation:
Perimeter = 2(L + W)
P = 40
L = 2W - 1
40 = 2((2W-1) + W)
40 = 4W - 2 + 2W
40 = 6W - 2
42 = 6W
W = 8
Since L = 2W - 1
L = 2(8) - 1
L = 15
Answer:
A:
2(x + 2) + 2(2x - 5) =
2x + 4 + 4x - 10 =
6x - 6
perimeter = 6x - 6
B:
(x+2)(2x - 5) expand the brackets:
2x² - 5x + 4x - 10
area = 2x² - x - 10
C:
area = 6x - 6 = (6 x 5) - 6 = 30 - 6 = 24
perimeter = 2x² - x - 10 = (2 x 5²) - 5 - 10 = (2 x 25) - 5 - 10 = 50 - 5 - 10 = 35
brainliest please? x
