Answer:
Y = (0, 3)
Step-by-step explanation:
Notice that the first the transformation is a rotation of 90 degrees around the origin, and then a reflection around the x axis.
If a reflection around the x axis resulted in (3, 0) that means the point was already on the x axis.
Then in order for a rotation in 90 degrees to take the point Y to (3, 0), Y must have been on the y-axis as (0, 3)
1 L, or 1000 mL, of the drink contains 360 mL juice. If there is a total of 1600 mL, we have 360/1600=9/40 (or .225) as the concentration of juice.
Answer:
2x + 2
Step-by-step explanation:
2x -2 + 2x + 3 is equal to 4x + 1 to make it 6x + 3 you need to add 2x to the term 4x and you need to add 2 to the term 1 so
2x + 2
Answer: 
Step-by-step explanation:
Given: Perimeter of triangular garden = 
The sum of two sides of the garden = 
Perimeter is the sum of all sides of a triangle.
Third side = Perimeter of triangular garden - sum of two sides of the garden
The expression represent the third side = .
Answer:
Infinitely many triangles.
Step-by-step explanation:
Given the lengths of two sides are 8 inches and 10 inches.
Let's assume third side = x inches.
Using the Triangle Inequalities given as follows:-
1. a+b > c,
2. b+c > a,
3. c+a > b.
Using the lengths given in the problem, we can write:-
1. x+8 > 10 ⇔ x > 10-8 ⇔ x > 2.
2. x+10 > 8 ⇔ x > 8-10 ⇔ x > -2.
3. 8+10 > x ⇔ x < 18.
So, the solution set is 2 < x < 18. It means third side can take any value in interval (2, 18).
Hence, there are infinitely many triangles.
