Answer:
The factored form of the equation is (x + 4)(x – 6) = 0.
Step-by-step explanation:
(x – 4)(x + 2) = 16
Foil the left side
x^2 +2x-4x-8 =16
Combine like terms
x^2 -2x-8 = 16
Subtract 16 from each side
x^2 -2x-8-16 =16-16
x^2 -2x-24 =0
Factor the left hand side
What two numbers multiply to -24 and add to -2
-6*4 =-24
-6+4 = -2
(x-6) (x+4) =0
Solving using the zero product property
x-6 =0 x+4=0
x=6 x=-4
Answer:
Point C occurs on the line x = 1
Point D occurs on the line y = -2
The intersection of both lines occurs at the point E = (1,-2)
The difference between the x coordinates of points D and E is 1 + 1/4 units
The difference between the y coordinates of points C and E is 1 unit
Let point F be the point that is 1/4 the distance from point C to point D
To find the x-coordinate F subtract the difference between the x coordinate of points C and E from the x-coordinate of C:
1 - (1 + 1/4) = -1/4
To find the y-coordinate of F subtract the difference between the y-coordinates of D and E from the y-coordinate of C
2 - 1 = 1
The coordinates of point F are (-1/4, 1)
Therefore, the y value of the point that is 1/4th the
14.16 is the answer to your problem
Answer: x = 1
Step-by-step explanation:
1) Reorder the terms:
2(-4 + 3x) + -5 = -7
(-4 * 2 + 3x * 2) + -5 = -7
(-8 + 6x) + -5 = -7
2) Reorder the terms:
-8 + -5 + 6x = -7
3) Combine like terms: -8 + -5 = -13
-13 + 6x = -7
4) Solving
-13 + 6x = -7
5) Solving for variable 'x'.
6) Move all terms containing x to the left, all other terms to the right.
7) Add '13' to each side of the equation.
-13 + 13 + 6x = -7 + 13
8) Combine like terms: -13 + 13 = 0
0 + 6x = -7 + 13
6x = -7 + 13
9) Combine like terms: -7 + 13 = 6
6x = 6
10) Divide each side by '6'.
x = 1
11) Simplifying
x = 1
Answer:
1
Step-by-step explanation:
1/2x1x2
1
