The histogram shows information about how 550 people travel to work.
1 answer:
You might be interested in
Answer:
or you could write it as 5(x+Y) ÷ 2a
Step-by-step explanation:
So this is a question that kind of uses spoken words rather than numbers and it involves PEMDAS (if you haven't gotten to PEMDAS yet, don't worry about it, it's ok, it's easy). PEMDAS is simply an acronym for Parenthesis, Exponent, Multiply, Divide, Add, Subtract. Its the order in wwhich you do more complicaterd math problems.
Lets break apart the question:
- We have the sum of x and y, we just write that as x+y
- We have that sum multiplied by 5, we have the sum from the step above, now we'll multiply that by 5. 5(x+y) parenthesis means multiply what is outside with what is inside.
- We have the product (multiply) of 2 and a, 2 times a = 2a.
- We divide the x, y, and 5 term with the 2, a term. Take the first part 5(x+y) and divide it by the second part 2a.
Rewrite the boundary lines <em>y</em> = -1 - <em>x</em> and <em>y</em> = <em>x</em> - 1 as functions of <em>y </em>:
<em>y</em> = -1 - <em>x</em> ==> <em>x</em> = -1 - <em>y</em>
<em>y</em> = <em>x</em> - 1 ==> <em>x</em> = 1 + <em>y</em>
So if we let <em>x</em> range between these two lines, we need to let <em>y</em> vary between the point where these lines intersect, and the line <em>y</em> = 1.
This means the area is given by the integral,
The integral with respect to <em>x</em> is trivial:
For the remaining integral, integrate term-by-term to get
Alternatively, the triangle can be said to have a base of length 4 (the distance from (-2, 1) to (2, 1)) and a height of length 2 (the distance from the line <em>y</em> = 1 and (0, -1)), so its area is 1/2*4*2 = 4.
