First solve the 2 inequalities for x:-
x > 0 or x <= -5
The last choice is the correct one.
Yeah I think x=12y on this one correct me if I’m wrong
Answer:
Step-by-step explanation:
If you call "5x-2x^2+1" an "equation," then you must equate 5x-2x^2+1 to 0:
5x-2x^2+1 = 0
This is a quadratic equation. Rearranging the terms in descending order by powers of x, we get:
-2x^2 + 5x + 1 = 0. Here the coefficients are a = -2, b = 5 and c = 1.
Use the quadratic formula to solve for x:
First find the discriminant, b^2 - 4ac: 25 - 4(-2)(1) = 25 + 8 = 33
Because the discriminant is positive, the roots of this quadratic are real and unequal.
-b ± √(discriminant)
Applying the quadratic formula x = --------------------------------
2a
we get:
-5 ± √33 -5 + √33
x = ----------------- = --------------------- and
2(-2) -4
-5 - √33
---------------
-4
From the angle bisector theorem
we can first assume the third side is x, therefore
7.4/6 = x/4
x = 7.4 × 4/6
x = 4.93 cm
We can also use,
7.4/4 = x/6
x = 7.4 ×6/4
x = 11.1 cm
Therefore, the shortest length of the third side is 4.93 cm while the longest length is 11. 1 cm
