Answer: 
is parallel to 
Step-by-step explanation:
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The complete exercise is: "Is parallel, perpendicular or neither to ?
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The equation of the line in Slope-Intercept form is:
Where "m" is the slope of the line and "b" is the y-intercept.
First, in order to solve this exercise it is important to remember that, by definition:
1. The slopes of parallel lines are equal.
2. The slopes of perpendicular lines are negative reciprocal.
In this case, you have the following line given in the exercise:
You can identify that "m" and "b" are:
And the other line provided in the exercise is this one:
So, you can identify that:
As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.
Answer:
3400
Step-by-step explanation:
60 * 70 = 4200
70 - 10 - 20 = 40
20 * 40 = 800
4200 - 800 = 3400
Answer:
or 
Step-by-step explanation:
The lateral area of a cylinder is calculated by the following formula
Where r is the radius of the right cylinder and h is the height
In this case we know that the diameter d of the cylinder is
Therefore the lateral area is:
Answer:
The equation of the graphed line is:
Step-by-step explanation:
From the graph, it is clear that the line is a horizontal line at y = 2.
We know that a horizontal line has a slope of 0 because the value of y does not change no matter what the value of x we put in.
In other words, the equation of the horizontal line would always get the form:
y = k
where k is the y-intercept of the line.
Determining the y-intercept of the line:
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept k = 2
Thus, if we substitute the y-intercept k = 2 in the equation y = k, we get the equation
y = 2
Therefore, the equation of the graphed line is:
Answer:
£1960
Step-by-step explanation:
Step 1.
2% = 100% ÷ 50
Step 2.
£2000 ÷ 50 = £40
Step 3.
£2000 - £40 = £1960
