Since it's in factor form, you would first distribute using foil to get $2x^{2} -4x+6x-12$ and then combine like terms when necessary. In this case, the fully simplified version is $2x^{2} +2x-12$ . Therefore your a is 2, b is 2, and c is -12.

3 0

3 years ago

LMNP is a rectangle. Find the value of x and the length of each diagonal.

Neporo4naja [7]

Solution:

We know that:

Given diagonals: LN and MP
LN and MP must be equal because they are diagonals of LMNP.
LN = 4x + 3
MP = 8x - 9

Since LN and MP must be equation, equation formed: 4x + 3 = 8x - 9

Let's simplify the equation to find x.

Subtracting 4x both sides.

$4x + 3 = 8x - 9$
=> $4x - 4x + 3 = 8x - 9 - 4x$
=> $3 = 4x - 9$

Add 9 both sides.

=> $3 = 4x - 9$
=> $3 + 9 = 4x - 9 + 9$
=> $12 = 4x$

Divide 4 both sides.

=> $12 = 4x$
=> $\frac{12}{4} = \frac{4x}{4}$
=> $x = 3$

Now, let's find the length of each diagonal.

$LN = 4x + 3 = 4(3) + 3 = 12 + 3 = 15 \space\ units$
$MP = 8x - 9 = 8(3) - 9 = 24 - 9 = 15 \space\ units$

7 0

2 years ago

Read 2 more answers

Can you help me with this question. Please!

Andreas93 [3]

41, 66 start at 11, add 9, then 10, then 11 (for 41) then 12 then 13 (for 66)

6 0

3 years ago