A (4,8) and b (7,2) and let c (x,y)
A , B and C are col-linear ⇒⇒⇒ ∴ slope of AB = slope of BC
slope of AB = (2-8)/(7-4) = -2
slope of BC = (y-2)/(x-7)
∴ (y-2)/(x-7) = -2
∴ (y-2) = -2 (x-7) ⇒⇒⇒ equation (1)
<span>The distance
between two points (x₁,y₁),(x₂,y₂) = d
</span>
The ratio of AB : BC = 3:2
AB/BC = 3/2
∴ 2 AB = 3 BC

= <span>

eliminating the roots by squaring the two side and simplifying the equation
∴ 4 * 45 = (x-7)² + (y-2)² ⇒⇒⇒ equation (2)
substitute by (y-2) from equation (1) at </span><span>equation (2)
4 * 45 = 5 (x-7)²
solve for x
∴ x = 9 or x = 5
∴ y = -2 or y = 6
The point will be (9,-2) or (5,6)
the point (5,6) will be rejected because it is between A and B
So, the point C = (9,-2)
See the attached figure for more explanations
</span>
For part A. 0.85
For part b. 11.9
Explain
Cost of each track in album A= total cost downloading album a/ total number of track
The problem give us a has 11 trackers and the total cost of download is 9.35 pounds
9.35/11
= 0.85
Now we are given each track cost in album b cost the same as track on A
Cost of each track in album B is 0.85
Now we are given if Jane download album B , B will be 14 tracks
Total cost of downloading is album B= number of tracks in album Bx cost of each track in album B
14x0.85 pound
= 11.9
1. <span>Simplify -9 + -2m to -9 - 2m
-3m = -9 - 2m
2. </span><span>Add </span>2m <span>to both sides
-3m + 2m = -9
3. </span><span>Simplify -3m + 2m to -m
-m = -9
4. </span><span>Multiply both sides by </span><span><span>−<span>1
m = 9
Done! :) our answer is m = 9</span></span></span>
11,000 or 10,000 or 11,200 or 11,230
Answer:
-4/7, -1/3, -0.1, 0, 0.1
Step-by-step explanation: