Answer:
44.5
Step-by-step explanation:
Answer:
<u>Slope of the graphed line, using 2 points (-1, 3) and (0, 0):</u>
<u>Slope of the line containing the points (-6, 2) and (-9, 5):</u>
- m₂ = (5 - 2)/(-9 - (-6)) = 3/-3 = -1
<u>The difference in number between the slopes:</u>
<u>The difference in slopes:</u>
- The slope of the graphed line is 3 times steeper.
Let the second car meets the first car after n hours.
Second car starts with 8km/h, After succeeding hours his speed increases by 0.5 km.
So, Distance travelled by second car = 8 + 8.5 + 9
..... 8+(n-1) 0.5.....(1)
eqn. (1) sum of n terms Of A.P with first term 8
and common difference 0.5.
Sum of all the terms in equation 1 is also equals to the distance travelled by the first car for n hours, i.e. 10n km .
Now, we have (n/2) {16+(n-1) 0.5} = 10n........(2)
From equation (2) we get, n= 9
Hence, Both the cars will meet after 9 hours.
Hope it helps!
Either 1 or 3 - 1 is all positive and 3 is all negative
