Step-by-step explanation:
Area of triangle = 1/2 × the width × the length
42 = 1/2(x+3)(2x+8)
42 = 1/2×2×(x+3)(x+4)
42 = (x+3)(x+4)
(x+3)(x+4) = 42
x² + 7x + 12 = 42
x² + 7x + 12 - 42 = 0
x² + 7x - 30 = 0
(x-3)(x+10) = 0
x = 3, -10
x can't be -10 because the width and the length should be only + values
x = 3
Answer: 18
Step-by-step explanation: Angles opposite of each other in a trapezoid equal 180 minus each other so 180 - 105 = 75 so 75 = 4y + 3
Subtract 3 from both sides
72 = 4y
Divide by 4
y = 18
The correct product of (6x - 2)(6 x + 2) is 36x^2 - 4
<h3>How to determine the product?</h3>
The expression is given as:
(6x - 2)(6 x + 2).
The above expression is a difference of two squares.
And this is represented as
(a - b)(a + b)= a^2 - b^2
So, we have
(6x - 2)(6 x + 2) = (6x)^2 - 2^2
Evaluate
(6x - 2)(6 x + 2) = 36x^2 - 4
Hence, the correct product of (6x - 2)(6 x + 2) is 36x^2 - 4
Read more about difference of two squares at:
brainly.com/question/3189867
#SPJ1
<u>Complete question</u>
What is the product?
(6x - 2)(6 x + 2).
