Answer:
D.(2, 2)
Step-by-step explanation:
- Staring point = (2, -4)
- Since he moved 6 units up, so, there will be change in only y-coordinate of the starting point and x-coordinate will remain unchanged.
- End point of the segment = (2, - 4 + 6) = (2, 2)
The answer will be 20,000
Answer:
x = 4 or x = 12
Step-by-step explanation:
Given:
y = -10x² + 160x - 430
When y = $50
50 = -10x² + 160x - 430
50 + 430 = -10x² + 160x
480 = -10x² + 160x
-10x² + 160x - 480 = 0
Divide through by -10
x² - 16x + 48 = 0
Solve the quadratic equation using factorization method
+48 = -12 × -4
-16 = -12 -4
Therefore,
-12 and -4 are both factors
x² - 16x + 48 = 0
(x - 4 )(x - 12 ) = 0
x - 4 = 0
x = 4
OR
x - 12 = 0
x = 12
Answer:
The width of the rectangular room =x= 8
Step-by-step explanation:
Given: A rectangular room is twice as long as it is wide, and its perimeter is 48 meters.
To find: The width of the room.
Solution: Let the width of the rectangular room= x meters, then the length of the rectangular room will be = 2x.
Now, Perimeter of rectangular room=2(l+b)
⇒48=2(2x+x)
⇒24=3x
⇒x=8 meters
Then, the width of the rectangular room =x= 8 meters and the breadth of the rectangular room=2x=2(8)=16 meters.
