<span>From the statement select the related given statement. If B is between A and C, then AB + BC = AC
answer
</span><span>C.) Point B is between points A and C.</span>
Next time, please share the answer choices.
Starting from scratch, it's possible to find the roots:
<span>4x^2=x^3+2x should be rearranged in descending order by powers of x:
x^3 - 4x^2 + 2x = 0. Factoring out x: </span>x(x^2 - 4x + 2) = 0
Clearly, one root is 0. We must now find the roots of (x^2 - 4x + 2):
Here we could learn a lot by graphing. The graph of y = x^2 - 4x + 2 never touches the x-axis, which tells us that (x^2 - 4x + 2) = 0 has no real roots other than x=0. You could also apply the quadratic formula here; if you do, you'll find that the discriminant is negative, meaning that you have two complex, unequal roots.
Answer:
(0, 1 ) and (
, )
Step-by-step explanation:
Given the 2 equations
x³ - xy = 0 → (1)
x + y = 1 → (2) ( subtract x from both sides )
y = 1 - x → (3)
Substitute y = 1 - x into (1)
x² - x(1 - x) = 0
x² - x + x² = 0
2x² - x = 0 ← factor out x from each term on the left side
x(2x - 1) = 0
Equate each factor to zero and solve for x
x = 0
2x - 1 = 0 ⇒ 2x = 1 ⇒ x =
Substitute these values into (3) for corresponding values of y
x = 0 : y = 1 - 0 = 1 ⇒ (0, 1 )
x = : y = 1 - = ⇒ ( , )
Answer:
18
Step-by-step explanation:
