Parellel would mean that it's the same slope, so it's one of the first three. Checking each of them individually, we see that the first one, when you plug in 3, results in 1, getting (3,1)!
7) (-30x^2 -20)/3x^2-3
8) squareroot(20b+3)
9) (S-d)/2(symbol for pi)×d
(i could not fit 7,8 and 9 into the picture)
The basic structure of a linear function is y=mx+b (or +c, depending on your schools curriculum)
We need to find the slope (m), and the y-intercept (b/c)
To find the slope you can pick two random points, say (2,2) and (0,1)
The formula for the slope is this: m= y1-y2 / x1-x2
So if we substitute the points in, we get 2-1 / 2-0 = 1/2
Knowing the slope, it can be substituted into to the equation: y=1/2x + b
Then, if you notice the second point- (0,1), it’s the y-intercept. The y coordinate there is 1.
To check if this is correct, a random coordinate set can be picked and substituted in to find b.
y= 1/2x + b
2 = 1/2 *2 + b
2 = 1 + b
2-1=b
1=b
Therefore, the final linear function is y = 1/2 x + 1
Area of rectangle = Length x width, Area of triangle - (1/2) base x height
Surface Area is the sum of the area of all of the faces.
Your picture has 5 faces:
1) rectangle on the left
2) square in the middle
3) rectangle on the right
4 & 5) 2 congruent (identical) right triangles
Area of face #1: 5 x 4 = 20
Area of face #2: 4 x 4 = 16
Area of face #3: 3 x 4 = 12
Area of face #4: (1/2) x 3 x 4 = 6
Area of face #5: (1/2) x 3 x 4 = 6
Sum of the Area of the faces: 60
Answer: Surface Area of the figure is 60 units²
Volume = Length x width x height
= 5 x 4 x 3
= 60 units³
Answer: Volume of the figure is 60 units³
its F because the slopes are the same
