theo has a wooden board this is 780 millimeters long. How long is the board, in centimeters? round youre answer to the nearest t
2 answers:
You might be interested in
Answer:
The slope is undefined.
Step-by-step explanation:
The slope of a line is its relationship between its change in verticalness and its change in horizontalness. In layman's terms, we call it rise over run. Slope can be useful for many things: to show how steep a line is, to write a line in slope-intercept form (y = mx + b), etc.
Recall that a line only needs two points to be formed. That's why slope matters so much. With lines, we only care about its steepness and its position on the coordinate plane, so slope knocks out one of those criteria.
One way to find slope is to use the definition of slope, the change in verticalness (y) divided by the change in horizontalness (x):
where m is the slope of the line;
and x1, y1, x2, and y2 are coordinates for points (x1, y1) and (x2, y2).
So let's use what we now know to solve the problem.
Since (-5,8) and (-5,9) are two points, they can form a line. So I can say that x1 = -5, y1 = 8, x2 = 5, and y2 = 9. Now, let's plug these numbers into the formula.
"Wait, what's going on? I thought I can't divide by 0." - You
Yes, exactly. But what we have here is a special case of a line, nothing more. Let me explain.
Lines don't always have a natural number for a slope, like m = 1. There are two special lines that deviate from the norm: horizontal lines and vertical lines.
Horizontal lines have a slope of zero. This is because they change in x, but not in y. So y appears as 0 in the formula: 0/x = 0. That's why horizontal lines have a slope of zero. They are usually written as y = C where C is some constant.
Vertical lines have an undefined slope. We're dealing with this type of line for our problem. They change in y, but not in x. So x appears as 0 in the formula: y/0 = undefined. We simply cannot divide by zero. That's why vertical lines have undefined slopes. They are usually written as x = C where C is some constant.
So there you go. (-5, 8) and (-5, -9) form a vertical line that has an undefined slope. And if you really want to know the equation for this line, it's x = -5.
<h2>Hello!</h2>
The answer is:
It will take 42.35 minutes to weed the garden together.
<h2>Why?</h2>To solve the problem, we need to use the given information about the rate for both Laura and her husband. We know that she can weed the garden in 1 hour and 20 minutes (80 minutes) and her husband can weed it in 1 hour and 30 minutes (90 minutes), so we need to combine both's work and calculate how much time it will take to weed the garden together.
So, calculating we have:
Laura's rate:
Husband's rate:
Now, writing the equation we have:
Hence, we have that it will take 42.35 minutes to weed the garden working together.
Have a nice day!