Step-by-step explanation:
X +1 + X + 2
X + X + 1 + 2
2x + 3
Therefore it's 2x + 3
<h2>
Answer: x=-2(-y+4)</h2>
Step-by-step explanation:
-2x+4y=16
Subtract 4y from both sides
-2x+4y-4y=16-4y
Simplify
-2x=16-4y
Divide both sides by -2
-2x/-2=16/-2- 4y/-2
<h2>
x=-2(-y+4)</h2>
Answer:
b=20 or b=-20
Step-by-step explanation:
Keep in mind the meanings of the values of the discriminant:
If b^2-4ac=0, then the quadratic will have only 1 solution (double root)
If b^2-4ac<0, then the quadratic will have no real solutions
If b^2-4ac>0, then the quadratic will have 2 unique solutions
In this case, to get one real solution, the discriminant must be set up as b^2-4ac=0. Setting up the equation we get:
b^2-4(4)(25)=0
b^2-400=0
b^2=400
b=20 or b=-20
So the values of b would have to be either 20 or -20
Step-by-step explanation:
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b. or we get the point of the line directly on the y-axis.
we see several marked points.
e.g.
(-4, 4) (0, -4)
x changes by +4 (from -4 to 0)
y changes by -8 (from 4 to -4)
the slope (a) is -8/+4 = -2
the y-intercept is given by the point (0, -4), because this is where x=0.
so, it is -4
and the line equation is
y = -2x - 4