Which completely describes the polygon?
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The statement proves that quadrilateral HIJK is a kite is IH = IJ = 3 and JK = HK = and IH ≠ JK and IJ ≠ HK.
Given
On a coordinate plane, kite H I J K with diagonals is shown.
Point H is at (negative 3, 1), the point I is at (negative 3, 4), point J is at (0, 4), and point K is at (2, negative 1).
<h3>What is the kite?</h3>A quadrilateral is called a kite with two pairs of equal adjacent sides but unequal opposite sides.
Firstly calculating the length of the sides of the kite using the following formula;
For a kite quadrilateral, HIJK will be a kite, if it's siding IJ = IH
From the graph length of I H = 4 - 1 = 3 units
Length of IJ = 0 - (-3) = 3 units
Therefore, IJ = IH = 3 units
Sides HK should be equal to JK
Length of HK is;
Hence, the statement proves that quadrilateral HIJK is a kite is IH = IJ = 3 and JK = HK = and IH ≠ JK and IJ ≠ HK.
To know more about quadrilateral click the link given below.
Answer: right side behavior:
f(x) is Decreasing
g(x) is Increasing
h(x) is Increasing
j(x) is Decreasing
<u>Step-by-step explanation:</u>
The rules for end behavior are based on 2 criteria: Sign of leading coefficient and Degree of polynomial
<u>Sign of leading coefficient</u> (term with greatest exponent):
- If sign is positive, then right side is increasing
- If sign is negative, then right side is decreasing
<u>Degree of polynomial</u> (greatest exponent of polynomial:
- If even, then end behavior is the same from the left and right
- If odd, then end behavior is opposite from the left and right
f(x) = -2x²
- Sign is negative so right side is decreasing
- Degree is even so left side is the same as the right side (decreasing)
as x → +∞, f(x) → +∞ Decreasing
as x → -∞, f(x) → -∞ Decreasing
g(x) = (x + 2)³
- Sign is positive so right side is increasing
- Degree is odd so left side is opposite of the right side (decreasing)
as x → +∞, f(x) → +∞ Increasing
as x → -∞, f(x) → -∞ Decreasing
- Sign is positive so right side is increasing
- Degree is an even <u>fraction</u> so left side is opposite of the right side as it approaches the y-intercept (-1)
as x → +∞, f(x) → +∞ Increasing
as x → -∞, f(x) → -1 Decreasing to -1
- Sign is negative so right side is decreasing
- Degree is odd so left side is opposite of the right side (increasing)
as x → +∞, f(x) → +∞ Decreasing
as x → -∞, f(x) → -∞ Increasing