where are the numbers am not seeing them
Answer:
y = 0.2x + 37
Step-by-step explanation:
A) Find an equation in the form y = mx + b, where x is the number of monthly minutes used and y is the total monthly of the Ringular plan.
(x, y) = (minutes, cost)
(110, 59)
(600, 157)
slope = m = dy/dx
dy/dx = change in y/change in x
m = dy/dx
m = (157 - 59)/(600-110)
m = 98/490
m = 0.2
a) the linear equation:
y - 59 = 0.2(x - 110)
y - 59 = 0.2x - 22
y = 0.2x - 22 + 59
y = 0.2x + 37
Answer: 12
Step-by-step explanation:
since it’s isosceles, the bottom two angles are equal so just subtract 156 from 180 and then divide that by 2.
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:
h = 55
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
the 2 unknown interior angles = 180 - 2h ( straight angle ), hence
the sum of the 3 angles
180- 2h + 180 - 2h + 40 = 180
400 - 4h = 180 ( subtract 400 from both sides )
- 4h = - 220 ( divide both sides by - 4 )
h = 55
