y = -x + 5
5x + 2y = 14
5x + 2(-x + 5) = 14
5x + 2(-x) + 2(5) = 14
5x - 2x + 10 = 14
3x + 10 = 14
- 10 - 10
3x = 4
3 3
x = 1¹/₃
y = -x + 5
y = -1¹/₃ + 5
y = 3²/₃
(x, y) = (-1¹/₂, 3²/₃)
Answer:
The length of prism is <u>9 centimetres</u>.
Step-by-step explanation:
Given:
The volume of a rectangular prism is 72 cubic centimeters.
The prism is 2 centimeters wide and 4 centimeters high.
Now, to find the length of prism:
Let the length be
.
Width = 2 centimeters.
Height = 4 centimeters.
Volume = 72 cubic centimeters.
So, putting the formula to get the length of prism:



Dividing both sides by 8 we get:

Length = 9 centimetres.
Therefore, the length of prism is 9 centimetres.
Answer:
25
Step-by-step explanation:
Synthetic division shows the remainder to be 25-c. In order for that remainder to be zero, the value of c must be 25.