14 x² + 6 x - 7 x - 3 =
= ( 14 x² - 7 x ) + ( 6 x - 3 ) =
= 7 x ( 2 x - 1 ) + 3 ( 2 x - 1 ) =
= ( 2 x - 1 ) ( 7 x + 3 )
Answer:
1. GCF of the group ( 6 x - 3 ) is 3.
2. The common binomial factor is 2 x - 1.
3. The factored expression is: ( 2 x - 1 ) ( 7 x + 3 ).
Answer:
Q=2
Step-by-step explanation:
hello :
the solution to the system is
{(x,y) : x-3y=4} means infinty solution
X-3y=4
....(*)
Qx-6y=8....(**)
multiply (*) by -2
-2x+6y = -8 (***)
add (*) and (***) : (Q-2)x =0
this ie true for reals x when Q=2
How much is 1 foot in 1 centimeters?
First we need to know:
1 foot = 12 inches
1 inch = 2.54 cm
Those are the things that we need to know beforehand.
Then, we can start converting.
= 1 ft * (12 in / 1 ft) * (2.54 cm / 1in)
= 30.48 cm
So 1 foot is just equal to 30.48 cm
Answer:
Step-by-step explanation:
A (1 ,7) , B(4, 2), C(-1, -1) and D(-4, 4)
Find the distance of sides using distance formula.
Distance = 
A (1 ,7) , B(4, 2)
![AB = \sqrt{(4-1)^{2}+(2-7)^{2}}\\\\ =\sqrt{3^{2}+(-5)^{2}}\\\\ \\ = \sqrt{9+25}=\sqrt{34} units\\\\\\\\BC = \sqrt{(-1-4)^{2}+(-1-2)^{2}}\\\\ =\sqrt{(-5)^{2}+(-3)^{2}} = \sqrt{25+9}=\sqrt{34} units\\\\\\CD = \sqrt{(-4-[-1])^{2}+(4-[-1])^{2}}\\\\=\sqrt{(-4+1)^{2}+(4+1)^{2}}\\\\=\sqrt{(-3)^{2}+(5)^{2}}\\\\=\sqrt{9+25} = \sqrt{34} units\\\\\\AD = \sqrt{(-4-1)^{2}+(4-7)^{2}}\\\\=\sqrt{(-5)^{2}+(-3)^{2}} =\sqrt{25+9} = \sqrt{34} units](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%284-1%29%5E%7B2%7D%2B%282-7%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%20%20%20%3D%5Csqrt%7B3%5E%7B2%7D%2B%28-5%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%20%5C%5C%20%20%20%3D%20%5Csqrt%7B9%2B25%7D%3D%5Csqrt%7B34%7D%20units%5C%5C%5C%5C%5C%5C%5C%5CBC%20%3D%20%5Csqrt%7B%28-1-4%29%5E%7B2%7D%2B%28-1-2%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%28-5%29%5E%7B2%7D%2B%28-3%29%5E%7B2%7D%7D%20%20%20%20%20%3D%20%5Csqrt%7B25%2B9%7D%3D%5Csqrt%7B34%7D%20units%5C%5C%5C%5C%5C%5CCD%20%3D%20%5Csqrt%7B%28-4-%5B-1%5D%29%5E%7B2%7D%2B%284-%5B-1%5D%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-4%2B1%29%5E%7B2%7D%2B%284%2B1%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-3%29%5E%7B2%7D%2B%285%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B9%2B25%7D%20%3D%20%20%5Csqrt%7B34%7D%20units%5C%5C%5C%5C%5C%5CAD%20%3D%20%5Csqrt%7B%28-4-1%29%5E%7B2%7D%2B%284-7%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-5%29%5E%7B2%7D%2B%28-3%29%5E%7B2%7D%7D%20%20%3D%5Csqrt%7B25%2B9%7D%20%3D%20%20%5Csqrt%7B34%7D%20units)
AB = BC = CD = AD = √34 units. so , ABCD is a square.
Area of square = side * side
= √34 * √34
= 34 square units
