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>
Answer:
The equation which gives the total cost y of x pounds of dried cherries is 
Step-by-step explanation:
Given:
Cost of 3 pounds of dried cherries = $15.90
Cost of 5 pounds of dried cherries = $26.50
Cost of 9 pounds of dried cherries = $47.70
Let Number of of pounds of dried cherries be 'x'
Let Total Cost be denoted by 'y'
We need to find the equation for total cost y for x pounds of dried cherries.
First we will find the cost of each pound of dried cherries.
Now we know that;
3 pounds of dried cherries = $15.90
1 pound of dried cherries = Cost of 1 pounds of dried cherries
Hence By using Unitary method we get;
Cost of 1 pounds of dried cherries = 
Total Cost of dried cherries is equal to Number of of pounds of dried cherries multiplied by Cost of 1 pounds of dried cherries.
framing in equation form we get;

Hence The equation which gives the total cost y of x pounds of dried cherries is 
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) what is the measure of angle AFE
we know that
The measure of the interior angle is the semisum of the arches that comprise it and its opposite.
<u>Note:</u> In this problem the correct measure of arc EA is 40 degrees (see the picture)
so

substitute the given values

Part 2) what is the measure of angle EFB?
we know that
---> by supplementary angles (form a linear pair)
so
substitute the given value

