Answer: width = 11 m
Concept:
Here, we need to understand how to find the area of a rectangle.
In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object.
A = w · l
w = width
l = length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
w = w
l = w + 3
A = 154 m²
<u>Given formula</u>
A = w · l
<u>Substitute values into the formula</u>
154 = w · (w + 3)
<u>Expand Parentheses (Distributive property)</u>
154 = w² + 3w
<u>Subtract 154 on both sides</u>
154 - 154 = w² + 3w - 154
0 = w² + 3w - 154
<u>Solve for the quadratic equation</u>
(w - 11) (w + 14) = 0
w = 11 or w = -14 (Neglected because length cannot be negative)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Step-by-step explanation:
substitute a point value into the equation to find the missing number (the y-intercept)
you could either substitute (0,-4) or (1,2) into the equationn
y = 6x + b
-4 = 6(0) +b
-4 = 0+b
b = -4
or
y = 6x +b
2 = 6(1) + b
2= 6 +b
b= -4
B. 64
the perfect square is a²+2ab+b²=(a+b)²
x²+2*8x+8²
8²=64
-2x+3(x-1) = -6
-2x + 3x - 3=-6
x-3 = -6
x = -6+3
x= -3
y=x-1
y=-3-1
y= -4
Hope this helps=)