Answer:
C'(4,4)
Step-by-step explanation:
The dilation of quadrilateral ABCD over the origin by a scale factor of 2 has the rule
(x,y)→(2x,2y)
So,
- A(-3,-1)→A'(-6,-2)
- B(-1,1)→B'(-2,2)
- C(2,2)→C'(4,4)
- D(3,-2)→D'(6,-4)
Hence, the coordinates of the image point C' are (4,4) (see attached diagram for details)
Answer:
The third side will also be 60 as it is an equilateral triangle
Answer:
The dimensions of the mirror is 9 feet and 2 feet
Step-by-step explanation:
Keep in mind that the area and perimeter of a rectangle is:
Area - length x width
Perimeter - 2 (l + w)
List the factors of 18 (the area of the mirror):
1, 2, 3, 6, 9, 18
POSSIBLE DIMENSIONS OF MIRROR:
1 ft and 18 ft
Area = 18 ft^2
Perimeter = 38 feet
2 ft and 9 ft
Area = 18 ft^2
Perimeter = 22 feet
3 ft and 6 ft
Perimeter = 18 feet
The rectangle with dimensions 2 feet and 9 feet corresponds with the area and perimeter of the mirror mentioned. So those are the correct dimensions.
Hope these helps!
Answer:
Pizzeria J
Step-by-step explanation:
Pizzeria J makes
y = 14x
Let x = 1, for 1 pizza. Then,
y = 14 × 1
y = 14
At pizzeria J, 1 pizza costs $14.
In the equation y = 14x, the slope, 14, is the cost per pizza.
Now we find the slope of the graph for pizzeria W.
The x-axis is the number of pizzas.
For x = 1, y = 11.
The slope is 11, so the price per pizza is $11.
Answer: Pizzeria J