The enclosed shape is that of a trapezoid. The area of a trapezoid is the product of the height of it (measured perpendicular to the parallel bases) and the average length of the two parallel bases. The formula is generally written ...
... A = (1/2)(b₁ + b₂)·h
Here, the base lengths are the y-coordinates at x=4 and x=9. The height is the distance between those two x-coordinates: 9 - 4 = 5.
You are expected to find the y-values at those two points, then use the formula for the area of the trapezoid.
You can save a little work if you realize that the average of the two base lengths is the y-coordinate corresponding to the average x-coordinate: (9+4)/2 = 6.5. That is you only need to find the y-coordinate for x=6.5 and do the area math as though you had a rectangle of that height and width 5.
Going that route, we have
... y = 2(6.5) - 1 = 13 - 1 = 12
Then the trapezoid's area is
... A = 12·5 = 60 . . . . square units.
Answer:
y2 = m(x2 - x1) + y1
Step-by-step explanation:
Given the slope formula :
m = (y2 - y1) / (x2 - x1)
To obtain an equivalent expression :
We cross multiply :
m(x2 - x1) = y2 - y1
Making y2 the subject ;
Add y1 to both sides
m(x2 - x1) + y1 = y2 - y1 + y1
m(x2 - x1) + y1 = y2
y2 = m(x2 - x1) + y1
Answer:
7x-5 = 9
x = 2
Step-by-step explanation:
Let x be the number
7x-5 = 9
Add 5 to each side
7x-5+5 = 9+5
Divide each side by 7
7x = 14
7x/7 = 14/7
x=2
Answer:
d = 56x + 412
Step-by-step explanation:
To find the total number of miles traveled on Monday and Tuesday, use a linear equation to write the function.
y = mx+b where m is the speed or rate of change and b is the starting point.
The starting point on Tuesday is 412 miles. This is b.
The number of miles traveled on Tuesday is found by calculating 56 miles times the number of hours traveled. This is the slope or m.
So the equation is d = 56h + 412.
