42/100 42 on top 100 on bottom
Answer:
In the picture attached, the graph is shown.
Step-by-step explanation:
No options are provided, so I made the graph.
The equation V = 4 + 2t, is the equation of a line with slope = 2 and y-intercept = 4.
To make a graph, mark some points is helpful. The next points are included in the graph:
t V
0 4 + 2(0) = 4
1 4 + 2(1) = 6
2 4 + 2(2) = 8
3 4 + 2(3) = 10
4 4 + 2(4) = 12
5 4 + 2(5) = 14
6 4 + 2(6) = 16
a. Point-slope form is: y - y0 = m(x - x0). Plugging in our values, we get: y - 2 = -3(x - 11). Typically we can just leave it like this, but for the sake of simplifying it down to slope-intercept form, it would be y = -3x + 35.
b. y - 2 = -3((0) - 11)
y - 2 = 33
y = 35.
c. y = -3x + 35.
Edit: Bolded the last answer.
9,899 = 206x
He divided by 206
He got 48.053 and rounded up to 49
My using the equation, we can see that he is correct.
We have the coordinates
J (2,5)
K (4,19)
Since we are to find the point that partitions the line segment into 3:2 ratio, we have 5 equal parts of the line segment. So,
Get the horizontal distance:
4 - 2 = 2
Divide by 5
2/5
Multiply by 3
2/5 x 3 = 1.2
Add this to the x coordinate of J
2 + 1.2 = 2.2
Get the vertical distance:
19 - 5 = 14
Divide by 5
14/5
Multiply by 3
14/5 x 3 = 8.4
Add this to the y coordinate of J
5 + 8.4 = 13.4
The coordinates of the point is
(2.2,13.4)
