Considering the definition of parallel line, the equation of line l is y= -5x -11.
<h3>Linear equation</h3>
A linear equation o line can be expressed in the form y = mx + b
where
- x and y are coordinates of a point.
- m is the slope.
- b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.
<h3>Parallel line</h3>
Parallel lines are two lines that are always at the same distance from each other.
Two lines are parallel if they have the same slope and different y-intercepts. This is, they have the same value of m and different value of b.
<h3>Equation of parallel line in this case</h3>
In this case, the line is y−3=−5(x−2) Expressed in the form y = mx + b, you get:
y−3=−5x−2×(-5)
y−3=−5x+ 10
y=−5x+ 10 + 3
<u><em>y= -5x +13</em></u>
where:
- the slope is -5.
- the y-intercept is 13.
Two lines are parallel if they have the same slope. So, the parallel line has a slope of -5 and has a form of: y= -5x + b
The line passes through the point (3, -26). Replacing in the expression for parallel line:
-26= -5× 3 + b
-26= -15 + b
-26 + 15 = b
<u><em>-11 = b</em></u>
Finally, the equation of parallel line is y= -5x -11.
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Answer:
use the pythagoras theorem ok for 3rd side
i.e. (5.6)²+(3.9)²=c²
Answer:
Step-by-step explanation:
198 is not a perfect square
2n=14 n being the “number” divide 2 on both sides and you’re left w n=14/2 or7
The difference between mixed numbers gives:
-5¹/₆ - (-8¹/₂) = 3¹/₃
So the correct option is the third one.
<h3 /><h3>How to get the difference between mixed numbers?</h3>
Here we want to compute the difference between two mixed numbers.
First, remember that we can rewrite those as:
-5¹/₆ = (-5 - 1/6)
-8¹/₂ = (-8 - 1/2)
Now, let's go to the difference:
-5¹/₆ - (-8¹/₂)
First you can see that there are two negative signs together, so it is equivalent to a positive sign:
-5¹/₆ - (-8¹/₂) = -5¹/₆ + 8¹/₂
Now we can replace the mixed numbers to get:
-5¹/₆ + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3
And that can be rewritten to:
3 + 1/3 = 3¹/₃
Which is completely simplified.
So we conclude that the correct option is the third one, counting from the top.
If you want to learn more about mixed numbers:
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