The answer would be 7.564
Here is the work and next to it I checked the answer
Here is the work and next to it I checked the answer
How do you write in word form .000883
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1. The slope of a line that is perpendicular to a line whose equation
is 5y = 10 + 2x is
2.
The line y = 2x - 1 is neither parallel nor perpendicular to the line
y = -2x + 3
The line y = -2x + 5 is parallel to the line y = -2x + 3
The line y = x + 7 is perpendicular to the line
y = -2x + 3
3. The equation of the line that passes through the point (5 , -4) and
is parallel to the line whose equation is 2x + 5y = 10 is
y = x - 2
Step-by-step explanation:
Let us revise some rules
- The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept
- The slopes of the parallel lines are equal
- The product of the slopes of the perpendicular lines is -1
1.
∵ The equation of the line is 5y = 10 + 2x
- Put the equation in the form of slope-intercept
- Divide both sides by 5
∴ y = 2 + x
∴ m =
∴ The slope of the line is
∵ The product of the slopes of the perpendicular lines is -1
- That means if the slope of a line is m, then the slope of the
perpendicular line to this line is
∵ The slope of the line =
∴ The slope of the perpendicular line
The slope of a line that is perpendicular to a line whose equation
is 5y = 10 + 2x is
2.
∵ Line a is represented by the equation y = -2x + 3
∴ m = -2
∴ The slope of the line is -2
∵ The equation of the line is y = 2x - 1
∴ m = 2
∴ The slope of the line is 2
∵ 2 ≠ -2
∵ 2 × -2 ≠ -1
∴ The two lines neither parallel nor perpendicular
The line y = 2x - 1 is neither parallel nor perpendicular to the line
y = -2x + 3
∵ The equation of the line is y = -2x + 5
∴ m = -2
∴ The slope of the line is -2
∵ The slopes of the lines are equal
∴ The two lines are parallel
The line y = -2x + 5 is parallel to the line y = -2x + 3
∵ The equation of the line is y = x + 7
∴ m =
∴ The slope of the line is
∵ × -2 = -1
∵ The product of the slopes of the lines is -1
∴ The two lines are perpendicular
The line y = x + 7 is perpendicular to the line
y = -2x + 3
3.
∵ The equation of a line that is parallel to the line whose equation
is 2x + 5y = 10
∴ Their slopes are equal
- Put the equation in the form of y = mx + b to find m
∵ 2x + 5y = 10
- Subtract 2x from both sides
∴ 5y = 10 - 2x
- Divide both sides
∴ y = 2 - x
∴ m =
∴ The slope of the line is
∵ The form of the equation is y = mx + b
∵ m =
∴ y = x + b
∵ The line passes through the point (5 , -4)
- Substitute the coordinates of the point in the equation to find b
∵ x = 5 , y = -4
∴ -4 = (5) + b
∴ -4 = -2 + b
- Add 2 to both sides
∴ -2 = b
∴ y = x - 2
The equation of a line that passes through the point (5 , -4) and
is parallel to the line whose equation is 2x + 5y = 10 is
y = x - 2
Learn more:
You can learn more about the equation of a line in brainly.com/question/4152194
#LearnwithBrainly
Knowing this, we can easily conclude that this is demonstrating the associative property of multiplication. The associative property of multiplication states that the product is the same regardless of their grouping. In this case, after simplifying the expression given, we can see that indeed the products are the same hence that fact that they have different grouping.