It would be the second one
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:
bobby
Step-by-step explanation:
-6 is a greater number for this problem
Remember, you can do anything to an equation as long as you do it to both sides
and when multiply or divide by a negative in inequalities, flip the direction of the sign
12x-39<9
add 39 to both sides
12x<48
divde bothh sides by 12
x<4
-4x+3<-6
minus 3 both sides
-4x<-9
times both sides by -1 and flip sign
4x>9
divide both sides by 4
x>9/4
The gradient is also known as the slope and we can find it using the slope/gradient formula: (y2 - y1) / (x2 - x1)
To find the gradient/slope, we need to first choose two points on the line. You can choose any two points you like, as long as they are on the line you are trying to find the slope of.
Point 1 = (2,2)
Point 2 = (5,8)
Now, we can plug in these points to the formula and solve.
(8 - 2) / (5 - 2)
6 / 3
2
The gradient of the blue line is 2.
Hope this helps!! :)
