Answer:
The x-intercept of CD is -19/5
Step-by-step explanation:
If the coordinates of the first point is (-3, 2) and the coordinates of the point B are (7, 6) then we need first to find the equation of the line CD:
We know that the general equation of the line is:
y-y0 = m(x-x0) where (x0, y0) represents a point that belongs to the line and m, is the slope which can be calculated by using the following formula:
m = (x1 - x0) / (y1 - y0)
In this case:
(x1, y1) = (7, 6)
(x0, y0) = (-3, 2)
Then:
m = (7 - (-3))/(6-2) = 10/4 = 5/2.
Then, the equation of the line is:
y-y0 = m(x-x0)
y - 2 = 5/2 (x -(-3))
y = 5/2(x+3) + 2
To find the x intercept we make y=0.
Then y = 5/2(x+3) + 2 = 0
Then:
x = -4/5 - 3 = -19/5
Answer: 337.5 km
Step-by-step explanation:
Use proportion:
2:75=9:x
2x=675
x=675/2
X=337.5
Elliot because it said that he had 638 fewer than him the Ravi gave him 352 so that would make Elliot have more
<u>Given</u>:
The distance (in kilometers) Dora hiked is modeled as a function of time.
We need to determine the average rate of change in distance hiked, measured in kilometers per hour, between 8:30 am to 1:30 pm.
<u>Average rate of change:</u>
Let us write the time and the distance hiked in coordinates for the time 8:30 am and 1:30 pm.
Thus, the coordinates are (8.30, 4) and (1,12)
The average rate of change can be determined using the formula,

Substituting the points (8.30, 4) and (1.30,12), we get;



Rounding off to the nearest whole number, we get;

Therefore, the average rate of change is -1.