<u>Find the slope of the perpendicular line</u>
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.
⇒ if the slope of this line = 2 (y = 2x + 2)
then the slope of the perpendicular line (m) = - ¹/₂
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 3 = - ¹/₂ (x - 4)
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 3 = - ¹/₂ (x - 4)
y = - ¹/₂ x + 5 (in slope-intercept form)
Answer:
m = 11
Step-by-step explanation:
Given
(m + 4) = 6 ← multiply both sides by 5 to clear the fraction
2(m + 4) = 30 ( divide both sides by 2 )
m + 4 = 15 ( subtract 4 from both sides )
m = 11
This method avoids having to deal with awkward fractions
The answer is:
Samir picks of peppers in the evening.
To solve this problem, we must remember the way to add or subtract mixed numbers.
We must remember the way of adding or subtracting fractions:
Also, if we need to add or subtract mixed numbers with different denominators, we need to follow the next steps:
- Add or subtract the whole number part
- Add or subtract the fractional numbers.
- Put together both, whole number addition or subtraction result and the addition or subtraction of the fractional numbers.
So,
Now, if Samir picks 3 5/8 less peppers in the afternoon than in the evenning, and if he picks 4 3/6 peppers in the afternoon, so:
Let be x the number of peppers that he picks in the evening, so:
Then, simplifying we have:
So, Samir picks of peppers in the evening.
Have a nice day!