Answer:
6 units
Step-by-step explanation:
The segment addition postulate states that if we are given two points on a line segment, E and G, a third point F lies on the line segment EG if and only if the distances between the points meet the requirements of the equation
EF + FG = EG (*)
In your case,
EF = 2x-2 units,
FG = 5x+1 units,
EG = 5x+7 units.
Substitute it into the equality (*)
Now, the length EF is equal to
Answer:
-2
Step-by-step explanation:
35 = 5x + 45
So - 45 from both side
-10 = 5x
Divide both side by 5
-2 = x
X = -2
437 + 356= 793
ANSWER: 793
Hope this helps! :)
Answer:
The three quadratic equations are;
x² + 3 = 0
x² + 2·x + 1 = 0
x² + 3·x + 2 = 0
Step-by-step explanation:
1) A quadratic equation with no real solution is one with an imaginary solution such as one with a negative square root
We can write the quadratic equation as follows;
x² + 3 = 0
∴ x = √(-3) = √(-1) ×√3 = i·√(3)
Therefore, the equation f(x) = x² + 3, has no real root at f(x) = 0
2) A quadratic that has 1 real root is of the form;
(x + 1)² = 0
The root of the equation is x = -1 from (x + 1) = ((-1) + 1)² = 0²
Which gives;
(x + 1)² = (x + 1)·(x + 1) = x² + 2·x + 1 = 0
Therefore, the quadratic (x + 1)² = 0 has only one real root
3) A quadratic that has 2 real root is of the form;
(x + 1)·(x + 2) = 0
x² + x + 2·x + 2 = 0
x² + 3·x + 2 = 0
Therefore, the three quadratic equations are;
x² + 3 = 0
x² + 2·x + 1 = 0
x² + 3·x + 2 = 0
Answer:
93,600 times
Step-by-step explanation: