Answer:
36
Step-by-step explanation:
I did click on the picture but I can't see the problems it is zoomed in.
Given
Gina has 6 yards of ribbon.
She cuts the ribbon into pieces that each measures three fourths yard.
Find out how many pieces of three fourths yard does Gina have
To proof
let the number of pieces of the ribbon be x.
As given in the question
Gina has of ribbon = 6 yards
She cuts the ribbon into pieces that each measures three fourths yard
Than the equation becomes


solving the above equation
we get
x = 2 × 4
x = 8
Gina have 8 pieces of three fourths yard
Hence proved
Answer: ( x + 1)² + (y - 4)² = 16
Explanation:
1) The given equation, ( x - 2)² + (y + 1)² = 16, represents a circumference with center (2,-1) and radius √16 = 4.
1) The translation will not modify the radius of the circunference, siince translations are rigid transformations.
2) The translation 3 units to the left and 5 units upward certainly will move the center of the circunference.
This is how:
(x,y) → (x - 3, y + 5)
(2, -1) → (2 - 3, - 1 + 5) = (- 1, 4)
3) Then, keeping the same radius and being the center (-1,4), the equation of the circumference after the translation will be:
( x + 1)² + (y - 4)² = 16 ← answer