4a²b⁴ - 25x⁶y⁴
(2ab²)² - (5x³y²)²
= (2ab² + 5x³y²)(<span>2ab² - 5x³y²) By difference of two squares</span>
Answer:
-3 1/3
Step-by-step explanation:
The quadratic
... y = ax² +bx +c
has its extreme value at
... x = -b/(2a)
Since a = 3 is positive, we know the parabola opens upward and the extreme value is a minimum. (We also know that from the problem statement asking us to find the minimum value.) The value of x at the minimum is -(-4)/(2·3) = 2/3.
To find the minimum value, we need to evaluate the function for x=2/3.
The most straightforward way to do this is to substitue 2/3 for x.
... y = 3(2/3)² -4(2/3) -2 = 3(4/9) -8/3 -2
... y = (4 -8 -6)/3 = -10/3
... y = -3 1/3
_____
<em>Confirmation</em>
You can also use a graphing calculator to show you the minimum.
Answer and Step-by-step explanation:
We see that the bottom two lines are parallel, which makes angle x and angle 5 "same-side corresponding angles". By definition, same-side corresponding angles are congruent. That means angle x = angle 5.
Note that you didn't provide any measures, so it is impossible to actually figure out an exact degree. However, angle x is the same degree as angle 5.
Hope this helps!
Answer:
the second one on the top right
Step-by-step explanation: