Answer:
Step-by-step explanation:
Switch sides:
Divide both sides by;
Simplify:
Subtract from both sides:
Simplify:
Divide both sides by :
Simplify:
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In the diagram, the length of segment BC is 23 units,
2 answers:
Answer:
The length of segment DC 33 units.
Step-by-step explanation:
Given:
The length of segment BC is 23 units.
To find:
Length of segment DC=?
Solution:
AB = 2x + 7
From the figure ,AB = BC
2x + 7 = 23
2x = 23 - 7
2x = 16
x = 8
In the Δ ABD and ΔCBD
(1) AB = BC(As given in the figure.)
(2) ∠DBA = ∠DBC = 90°
(3) BD = BD(Common side of both the triangle.)
Thus by using SAS congurence property .
Δ ABD ≅ ΔCBD
Thus AD = DC(Corresponding sides of the congurent triangle.)
Thus AD = 4x + 1
Substituting x = 8
AD =
AD = 32 + 1
AD = 33 unit
Thus AD = DC = 33 unit
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Answer:
The local and global extrema are: (-3,0), (0,-1.62), and (3,0)
Step-by-step explanation:
To solve this, we can use a graphing calculator.
The graph of the function looks as it is shown on the image.
Local extrema is defined as the highest/lowest y-value in a general area, while global extrema are the highest/lowest defined y-value on the function.
This graph shows that the highest points (as it is tied at y=0) are (-3,0) and (3,0), so they would be both local and global maximum.
Additionally, the local min is seen to be at (0,-1.62). This is also a global minimum as this function is not given a defined domain, so it can be assumed that the domain of this function is (-∞,∞). Global extrema can only occur at defined values, so the end points of -∞ and ∞ can be ignored.
