To answer, we substitute each of the numbers in parentheses to x of h(x) and get the value of g(x).
A. h(2) = 2(2) + 3 = 7 ; g(2) < 4 (neither is equal to 7)
B. h(7) = 2(7) + 3 = 17; g(7) is not shown in the graph (not true)
C. h(2) = 7 ; g(2) < 4 Thus, g(2) < h(2) (choice is not true)
D. From C, g(2) < h(2) (TRUE)
Thus, the answer to this item is letter D.
Given:
In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.
To find:
The measure of angle P.
Solution:
According to the Law of Cosines:

Using Law of Cosines in triangle OPQ, we get




On further simplification, we get




Therefore, the measure of angle P is 79 degrees.
Answer:
We conclude that we must add 4² or 16 to complete the square.
Hence, option C i.e. 16 is the correct answer.
Step-by-step explanation:
We know that the perfect square formula is
<em>(a + b)² = a² + b² + 2ab</em>
Given the equation

Let us add 4² or 16 in the equation


as <em>(a + b)² = a² + b² + 2ab, </em>so
<em />
<em />
<em />
Therefore, we conclude that we must add 4² or 16 to complete the square.
Hence, option C i.e. 16 is the correct answer.
Its D It is least likely that one of her friends does not have a minivan and does not live in a two story house.
The area of rhombus is 24 square units.
Step-by-step explanation:
Given,
Length of one diagonal = p = 3+3 = 6 units
Length of other diagonal = q = 4+4 = 8 units
Area of rhombus = 
Area of rhombus = 
Area of rhombus = 
Area of rhombus = 24 square units
The area of rhombus is 24 square units.
Keywords: rhombus, area
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