Answer:
27 centimeters is equal to 2.7 decimeters
Step-by-step explanation:
The correct answer is: [D]: "17" .
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The radius is: " 17" .
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Note:
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The formula/equation for the graph of a circle is:
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(x − h)² +<span> </span> (y − k)² = r² ;
in which:
" (h, k) " ; are the coordinate of the point of the center of the circle;
"r" is the length of the "radius" ; for which we want to determine;
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We are given the following equation of the graph of a particular circle:
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→ (x − 4)² + (y + 12)² = 17² ;
which is in the correct form:
→ " (x − h)² + (y − k)² = r² " ;
in which: " h = 4 " ;
" k = -12" ;
"r = 17 " ; which is the "radius" ; which is our answer.
→ { Note that: "k = NEGATIVE 12" } ;
→ Since the equation <u>for this particular circle</u> contains the expression: _________________________________________________________
→ "...(y + k)² ..." ;
[as opposed to the standard form: "...(y − k)² ..." ] ;
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→ And since the coordinates of the center of a circle are represented by:
" (h, k) " ;
→ which are: " (4, -12) " ; (<u>for this particular circle</u>) ;
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→ And since: " k = -12 " ; (<u>for this particular circle</u>) ;
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then:
" [y − k ] ² = [ y − (k) ] ² = " [ y − (-12) ] ² " ;
= " ( y + 12)² " ;
{NOTE: Since: "subtracting a negative" is the same as "adding a positive" ;
→ So; " [ y − (-12 ] " = " [ y + (⁺ 12) ] " = " (y + 12) "
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Note: The above explanation is relevant to confirm that the equation is, in fact, in "proper form"; to ensure that the: radius, "r" ; is: "17" .
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→ Since: "r = 17 " ;
→ The radius is: " 17 " ;
which is: Answer choice: [D]: "17" .
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Answer:
-10
Step-by-step explanation:
the upper right is the same (105°), therefore the left 75°
now you have 180 = 75 + x + 115
therefore: -10
Answer:
<h2>x ≤ - 3</h2>
Step-by-step explanation:
x + 5 ≤ ( - x + 2) + x
<u>Remove the parenthesis</u>
That's
x + 5 ≤ - x + 2 + x
x + 5 ≤ 2
Using the subtraction property subtract 5 from both sides
That's
x + 5 - 5 ≤ 2 - 5
x ≤ 2 - 5
We have the final answer as
<h3>x ≤ - 3</h3>
Hope this helps you
h2 + 52 = 102
<span> h2 = 10<span>2 </span>− 52 = 100 − 25 = 75 = 52×3</span>
<span> <span> h = 5</span></span>3 ≈ 8.7
Area A = ½×10×h ≈ ½×10×8.7 ≈ 43 cm<span>2</span>
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<span>Hope this helps</span>
