Find the expression that represents the length of the hypotenuse of a right triangle whose legs measure 2x to the power of 2 - y
2 answers:
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Answer:
The answer is below
Step-by-step explanation:
Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion.
The distance between two points on the coordinate plane is given as:
In triangle STU:
|QR| / |TU| = 4/2 = 2
|PR| / |SU| = 6/3 = 2
|PQ| / |ST| = 2√13 / √13 = 2
Hence:
|QR| / |TU| = |PR| / |SU| = |PQ| / |ST|
Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.
Answer:
<em>given function has 2 minimums</em> - and
Step-by-step explanation:
<u><em>Step 1.</em></u> g'(x) = 4x³ - 10x
<u><em>Step 2.</em></u> Find find the critical points:
4x³ - 10x = 2x(2x² - 5) = 0
= -
,
= 0 ,
=
<u><em>Step 3.</em></u> g'(x) > 0 : - < x < 0 or x >
g'(x) < 0 : x < - or 0 < x <
<u><em>Step 4.</em></u>
If x ∈ ( - ∞ , - ) , g(x) is decreasing ;
If x = - , g(x) has <em>minimum</em> value ;
If x ∈ ( - , 0 ) , g(x) is increasing ;
If x = 0 , g(x) has maximum value ;
If x ∈ ( 0 , ) , g(x) is decreasing ;
If x = , g(x) has <em>minimum</em> value ;
If x ∈ ( , ∞ ) , g(x) is increasing .
⇒ at ( - , -
) and at (
,
) , g(x) reaches its minimum