Answer:
D
Step-by-step explanation:
The parent function y = | x | has it's vertex at the origin.
Here the vertex is at (- 5, - 1)
That is 5 units to the left and 1 down from the origin, thus
y = | x + 5 | - 1
Using a point on the graph as a test (- 4, 3) for 4 | x + 5 | - 1
Substitute the x- coordinate into the equation and compare against the y- coordinate of the point.
4 | - 4 + 5 | - 1 = 4 | 1 | - 1 = 4 - 1 = 3 ← correct y- coordinate, thus
y = 4 | x + 5 | - 1 → D
Use the Triangle Rules.
For 30-60-90 Triangles
So The hypotenuse would be 6(sqrt 3)
That would make the long side 18.
Answer:
12 small boxes
8 large boxes
Step-by-step explanation:
let x be the number of small boxes shipped
let y be the number of large boxes shipped
This means:
the total number of boxes is 20, so
x + y = 20
the number of 50 pound boxes is x and the number of 100 pound boxes is y and together there are 1400 pounds, so
50x + 100y = 1400
Then, solve
First, simplify the equation 50x + 100y = 1400 by dividing both sides by 50
x + 2y = 28
Now, subtract the two equations:
x + 2y = 28
- (x + y = 20)
y = 8
Now plug this into the equation x + y = 20
x + 8 = 20
x = 12
So the number of small boxes is 12 and the number of large boxes is 8.
Here's a graph: