The area of a square is 144 cm^2. The measurement of each side is 12 cm
<u>Solution:</u>
Given, The area of a square is 144
We have to find that what is the measurement of each side.
Now, we know that, area of a square = product of side value with another side value.
Let the side value of given square be "s"
Then, <em>Area of square is given as:</em>
On cancelling square root and square on right side,we get
s = 12
Hence, the side value of the square is 12 cm.
Answer:
(3, 1)
Step-by-step explanation:
(a) Algebraic solution
(1) y = -⅔x + 3
(2) y = 2x - 5
Set Equation (1) equal to Equation (2)
-⅔x + 3 = 2x - 5
Multiply each side by 3
-2x + 9 = 6x - 15
Add 15 to each side
-2x + 24 = 6x
Add 2x to each side
24 = 8x
Divide each side by 3
(3) x = 3
Substitute (3) into (2)
y = 2×3 - 5 = 6 - 5 = 1
The ordered pair that makes both equations true is (3, 1).
(b) Graphical solution
In the diagram below, the red line is the graph of Equation (1). The blue line is the graph of Equation (2). The point of intersection is at (3, 1).
