Answer:
Step-by-step explanation:
A(-6,2) =>A'(-5, -1)
B(-5,4) =>B'( -4,1)
C(-2,4)=> C'(-1,1)
D( 1,2) => D'(2,-1)
we move all these points to (x+1, y-3)
The answer is -7.4166666 or written as -7.4167
Answer:
The equation is:

Or, what is equivalent:

Explanation:
This is the<em> table</em> that <em>shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the same recipe</em>:
Lemon juice (mL) Sugar (g)
Batch A 500 200
Batch B 750 300
Batch C 1500 600
You need to write an <em>equation to describe the relationship between j, the amount of lemon juice in mL and s, the amount of sugar in g</em>.
Calculate some ratios, to determine the kind of relation between the amount of juice and the amount of sugar in the recipe.
- Batch A: lemon juice / sugar = 500 / 200 = 5/2
- Batch B: lemon juice / sugar = 750/300 = 5/2
- Batch C: lemon juice / sugar = 1500/600 = 5/2
Hence, the amount of juice, j, and the amound of sugar, s, are proportional and the constant of proportionality is 5/2. From this, the equation is:

Or, what is equivalent (solving for j):

The coordinates of the midpoint if the endpoints are (x₁,y₁) and (x₂,y₂):

One endpoint is (3,5), the midpoint is (5,-11). The other endpoint is (x,y).

The coordinates of endpoint M are (7,-27).