Answer:
A)
Step-by-step explanation:
length = x +x + 2 = 2x + 2
Width = 2+ x
Area of rectangle = length *width
(x +2)(2x + 2) = 110
Use FOIL method
x*2x + x*2 + 2*2x + 2*2 = 110
2x² + <u>2x + 4x</u> + <u>4 - 110</u> = 0 {Combine like terms}
2x² +6x - 106 = 0
a = 2 ; b = 6 ; c = -106
b² - 4ac = 6² - 4*2*(-106)
= 36 + 848
= 884
x = 5.93 m
Answer:
(1.13, 7.74) and (-4.13, 18.26)
Step-by-step explanation:
This can be solved in two ways: mathematically and graphically.
<u>Graphing</u>
Plot both lines and find where they intersect. See the attachment.
The intersection points are (1.13, 7.74) and (-4.13, 18.26)
<u>Mathematical</u>
y + 2x = 10
y = 10 - 2x
y = 3x² + 7x - 4
10 - 2x = 3x² + 7x - 4
3x² + 9x - 14 = 0
Solve this using the quadratic equation:
x = 1.13 and -4.13
Use these two values of x to find y:
y = 10 - 2x
y = 10 - 2(1.13)
y = 7.74
y = 10 -2x
y = 10 -2(-4.13)
y = 18.26
The two points are:
(1.13, 7.74) and (-4.13, 18.26)
