Answer:
-0.316227766
Step-by-step explanation:
0.316227766
Answer:
42.64
Step-by-step explanation:
Answer:
- A. The function g(x) is a translation of f(x) = √x.
- C. The function g(x) has a range of {y | y > –1}.
- E. The function g(x) can be translated right 3 units and up 1 unit to create the function f(x) = √x
Explanation:
The function f(x) = √x has been translated 3 units to the left and 1 unit down to make g(x). That means translating g(x) 3 units right and 1 unit up will make f(x). (matches choices A and E)
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The range of the function is the vertical extent, all y-values ≥ -1. (matches choice C)
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The translated function is ...
g(x) = f(x+3) -1 = √(x +3) -1 . . . . . does not match choice D
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The domain of the function is the horizontal extent, all x-values ≥ -3. (does not match choice B)
A line <u>bisector</u> is a <em>straight </em>line that <u>divides</u> a given line into two equal parts. Thus the following steps are required by Naomi to show that point D is <em>equidistant</em> from points A and C.
BD ⊥ AC (given)
BD = 3 units, and AC = 8 units.
BD is the <em>perpendicular</em> bisector of <u>segment</u> AC (given)
Thus,
<BDA ≅ <BDC <em>(right</em> angles formed by a <u>perpendicular</u> bisector)
AD ≅ DC <em>(equal</em> parts of a<em> bisected l</em>ine)
AD ≅ DC = 4 units
Thus joining <u>points</u> B to A, and B to C,
BA ≅ BC.
So that applying <em>Pythagoras</em> theorem to ΔABD, we have:
=
+ 
=
+ 
= 
AB = 5 units
So that,
BA ≅ BC = 5 units
Therefore, it can be <u>concluded</u> that point D is <em>equidistant</em> from points A and C.
For more clarifications on a perpendicular bisector of a line, visit: brainly.com/question/929137
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Answer:
$650
Step-by-step explanation:
Assuming that the car is the only one he sold that week, multiply $26,000 by 0.025 since it is 2.5% earned and you will get the answer $650.