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Answer:
The calculation of Mrs. Hernanadez will affect by 1.375 inches lesser.
Step-by-step explanation:
Given:
Length of the Kitchen shelf = 26 3/8 inches
Width of the Kitchen Shelf = 15 1/2 inches
Incorrect measurement of the length of the kitchen shelf = 25 inches
Solution:
The Actual length of the kitchen shelf is
But she measured as 25 inches
So the error in the measurement will be
=>Correct length of the shelf - Incorrect length of the shelf
=> - 25
Coverting the mixed fraction to fraction,
=> - 25
=> - 25
=>1.375
Answer:
a. The slope of a line parallel to the given line is 1
b. A point on the line parallel to the given line, passing through (−4, 2), is (1,7)
c. The slope of the line perpendicular to the given line is -1
d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)
Step-by-step explanation:
The equation of the line in Slope-intercept form is:
Where m is the slope and b is the y-intercept.
a. For the line
You can identify that:
By definition, two lines are parallel if they have the same slope. Then, the slope of a line parallel to the given line is:
b. The equation of the line in Point-slope form is:
Where m is the slope and () is a point of the line.
Given the point (-4,2), substitute this point and the slope of the line into the equation:
Give a value to "x", substitute it into this equation and solve for "y":
For :
Then, you get the point (1,7)
c. The slopes of perpendicular lines are negative reciprocals, then the slope of a line perpendicular to the given line is:
d. Given the point (-4,2), substitute this point and the slope of the line into the equation:
Give a value to "x", substitute it into this equation and solve for "y":
For :
Then, you get the point (3,-5)