The correct length of AC is 18
9514 1404 393
Answer:
- h = -2; k = 0; vertex = (-2, 0)
- h = 3; k = 0; vertex = (3, 0)
Step-by-step explanation:
Translation of a function to the right h units and up k units is accomplished by ...
g(x) = f(x -h) +k
Here, we have f(x) = |x|, so the translation will be ...
g(x) = |x -h| +k
or ...
y = |x -h| +k
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The function y = |x| has its vertex at (0, 0), so translation by (h, k) moves the vertex to (0 +h, 0 +k) = (h, k).
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You will notice that the given equations you are given have no "+k" added on, so k = 0 in both cases. The value of h is the opposite of the constant between the absolute value bars.
1. y = |x +2|
h = -2, k = 0
vertex: (-2, 0)
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2. y = |x -3|
h = 3, k = 0
vertex: (3, 0)
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<em>Additional comment</em>
This is all about <em>matching patterns</em>. You need to be able to identify the variable (x) and what has been added or subtracted to/from it. You need to be able to identify the "parent" function (what you have with nothing added or subtracted), and determine if something is added or subtracted to to/from that. Here, the parent function is |x|. Nothing has been added to the function (outside the absolute value bars), but something has been added to x (inside the absolute value bars).
Answer:
The angle θ = 312°.
Step-by-step explanation:
0° < θ < 360°
If cos θ = 2/3 and tan θ < 0
As cos θ is positive and tan θ is negative so the angle is in fourth quadrant.
cos θ = 2/3
θ = 312°
If you Plug the Problem in a Calculator ====> 89/4 ====> You'll Get (Decimal: 22.25)
<u>Because, You are DIVIDING 89 By 4</u>
Using Long Division: 4 Divide By 89 =====> 22 with a Remainder of 1
Dividend =====> 89
Divisor ====> 4
<u>The Fraction Cannot be Reduced, or Simplified any Further, Its' Irreducible. The Simplest Form, Smallest Numerator, and Denominator.</u>
<u>Result: Written as an Improper Fraction ===> 89/4</u>
<u>Mixed Number/Fraction: ===> 22 1/4 and a Decimal Number ====> 22.25</u>
Therefore, 89/4 = 22 and R 1 ==> 89/4 ==> 22 * 4 + 1 / 4 = 22 + 1/4 = 22 1/4 as a mixed fraction.
Hope that helps!!! : )
1 i believe hope this helped!
