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weqwewe [10]
2 years ago
7

2x + 3y =6

Mathematics
1 answer:
valentinak56 [21]2 years ago
3 0

Answer:

x + 2y = 16

2y = -x + 16

y = -\frac{1}{2}x + 8\\

The slope of the line is -\frac{1}{2}

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A dog is leashed to a point in the center of a large yard, so the area the dog is able to
miss Akunina [59]

Answer:

78.5

Step-by-step explanation:

The radius of the circle is 25 so youu multiply that by 3.14

25*3.14=78.5

8 0
3 years ago
Find the exact value of the given expression.<br> sin(2cos^-1(5/13))
xeze [42]

Answer:

+120/169 or -120/169

Step-by-step explanation:

  • let cos^{-1}[\frac{5}{13}  ] = \alpha

where, alpha is some angle that satisfies the assumed condition.

  • so, cos\alpha= 5/13

[ taking cos to the other side  or applying cos on both sides]

  • now, substitute this in the given expression
  • sin(2cos^-1(5/13)) = sin(2\alpha )

as sin\beta =  + or -\sqrt{1-(cos\beta) ^{2}

[by general trigonometry formula: cos^{2}[\beta]  +sin^{2}[\beta]=1]

so if  cos\alpha= 5/13, we can get sin\alpha from the above formula as + or - 12/13

(because, after taking square root on both sides we keep + or -]

  • as, sin2\beta  = 2*sin[\beta ]*cos[\beta ]

[by general trigonometry formula]

  • here, now sin[2\alpha ]=2*(+or- 12/13)*5/13\\

so, the final value can be 120/169 or -120/169.

4 0
3 years ago
the theaters sell tickets for a concert. tickets for the lower level are $35 each and tickets for the upper level are $25 each.
nasty-shy [4]
Equation 1 for tickets sold:
$35x + $25y = $10,250

Equation 2 for quantity (number #) of tickets sold:
x + y = 350

Use substitution method:

y = 350 - x

35x + 25 (350 - x) = $10,250

35x + $8750 - 25x = $10,250

10x + $8750 = $10,250
- $8,750 -$8,750

10x = 1,500

x = 150

y = 350 - 150

y = 200

Check the answers:

$35 (150) + $25 (200) =

$5,250 + $5,000 = $10,250
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hichkok12 [17]

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Step-by-step explanation:

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