Answer:
A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder.
Example:
2 is a factor of 8.
8 is a multiple of 2.
Step-by-step explanation:
<h2><u><em>
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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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If you turn all the numbers into decimals it becomes, -6.25, -6.35, -6.20, and, 6.1 so in order it would go 6.1, -6.20, -6.25, -6.35
15 since its in the middle of 10 and 20
Answer:
1144cm²
Approx. 1100cm²
Step-by-step explanation:
Area of rectangle=
L×B
34×20 = 680cm²
Area of semi-circle=
πr²
3.14 × (10)² = 314cm²
Area of triangle=
½b×h
b = 49 - 34 = 15
<u>2</u><u>0</u><u> </u><u>×</u><u> </u><u>1</u><u>5</u> = 150cm²
2
Area of shape =
680 + 314 + 150 = 1144cm²
approx. 1100cm²
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