Answer:
Types of Sewing Machines
Mechanical Treadle Sewing Machines.
Electronic Mechanical Sewing Machines.
Mini and Portable Machines.
Computerized or Automated Machines.
Embroidery Machines.
Quilting Machines.
Overlocking or Serger Machines.
Answer: g(x) = (x+3)^2
The answer should be in the form of a(x-h)2 + k.
Since we are not translating up or down, the k value is 0. We will not be adding any values to the outputs of the original equation here. a will equal 1 since no stretches are occurring. So we are left with the h value.
f(x) = x2 is given.
g(x) = a horizontal translation of 3 units left. This means that the h value is -3, because in order to move left, you need to take 3 away from all x values (inputs). So the point (2,4) on f(x) would become (-1,4) on g(x).
How do we write this?
g(x) = f(x-h) where h = -3.
So this is g(x) = f(x - (-3)) = f(x+3)
g(x) = (x+3)^2
Answer:
36 ft by 16 ft
Step-by-step explanation:
To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.
The area is the product of length and width, so if w represents the width, we have ...
w(52 -w) = 576
w² -52w = -576 . . . . . eliminate parentheses, multiply by -1
w² -52w +26² = 26² -576 . . . . . . complete the square
(w -26)² = 676 -576 = 100
w = 26 ±√100 = {16, 36}
If the width is the short dimension, it is 16 feet. Then the length is 36 feet.
Answer:
(2,1)
Step-by-step explanation:
3x+y = 7
-2x +y = -3
Solve the second equation for y by adding 2x to each side
-2x+2x +y = -3+2x
y = -3 +2x
Substitute into the first equation
3x+ (-3+2x) = 7
Combine like terms
5x -3 = 7
Add 3 to each side
5x-3+3 = 7+3
5x = 10
Divide by 5
5x/5 = 10/5
x=2
Now we need to solve for y
y = -3 +2x
y = -3 +2(2)
y = -3+4
y =1
Answer:
Sergeant, Tobie, Bandit, Smokey, Sally
Step-by-step explanation:
