Answer:
Check explanation
Step-by-step explanation:
Here, we want to make a prove;
Mathematically , since D is the midpoint of CE
Then;
CE = CD + DE
Also, since D splits the line segment into two equal parts as the midpoint, then CD must be equal to DE
I.e CD = DE
Hence, we can express CE as follows;
CE = DE + DE
CE = 2 DE
Divide both sides by 2
CE/2 = DE
Hence; DE = 1/2 CE
Answer:
Joey sold 6 cars
Step-by-step explanation:
Joey earns $350 per week + $200 per car he sells
The number of cars that he sold last week is unknown, so represent it with a variable, x.
Write an equation
$350 + $200x = $1,550
Subtract $350 from both sides of this equation
$200x = $1200
Divide both sides of the equation by 200
x = 6
Joey sold 6 cars
Hope this helps :)
Answer:
Step-by-step explanation:
we know that
The directrix of the parabola is perpendicular to the axis of symmetry of the parabola
In this problem the directrix is y=-3.5
so
The axis of symmetry is parallel to the y-axis
we have a vertical parabola
Also, the vertex is at the origin
That means-----> the parabola open upward
The equation of a vertical parabola can be written as
where
p is the distance between the vertex and the directrix
In this problem
the distance between the vertex and the directrix is 3.5
----> the value of p is positive because the parabola open upward
substitute
isolate the variable y
1) 2x + 3 = 2x + 3
This works because if you solve it, you will get either x = x or 3 = 3 which are always true, so x, can have an infinite number of solutions
2) 3(x + 4) = 3x + 11
This has no solution because if you solve it, you're gonna get 12 = 11 and that is NEVER true. Whatever x is, 11 cannot equal 12!
