Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
Well for THIS one you'd have to find how many miles he hikes in ONE day, so you would divide 14 by 2 to get 7 miles per day, and to find how many days he hiked in 42 miles, just divide 42 divided by 7 which equals 6, so it took him 6 days to hike 42 miles. =)
I hope I helped! =D
Answer:
The answer to your question is: Ф = 43.95°
Step-by-step explanation:
Data
length = 18 ft
distance bottom to is 13 ft
x = angle = ?
Formula
cos Ф = opposite side / hypotenuse
Process
cos Ф = 13 ft / 18 ft substitution
cos Ф = 0.72 simplify
Ф = cos⁻¹ (0.72)
Ф = 43.95° result
Gabby's recipe calls for 3 1/3 pounds of flour. If you divide 3 1/3 by 1/6, you get 5 measuring cups full. (1/3 is 2/6 so you add 2+3)
(1/3)x =16 (x represents the total number of books he has)
x=48
