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sleet_krkn [62]
2 years ago
7

Three boxes are stacked one on top of each other one box is 2 feet 11 inches tall one is 3 feet 5 inches tall and one is 4 feet

10 inches tall how high is the stack? Write your awnser in feet and inches use a number less than 12 for inches
Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
7 0

Answer:

<u>11 feet 2 inches</u>

Step-by-step explanation:

ill add the inches first

11+5+10= 26

26inches= 2ft 2inches

now I add the feet

2+3+4+2=11 feet

<u>11 feet 2 inches</u>

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Solve the following system for all solutions: <br><br>(x - 1)^2 + (y + 3)^2 = 13<br><br> x + y = -3​
Mamont248 [21]

Answer:

  • ( -4, -1 ) and ( -9, - 6)

Step-by-step explanation:

<h3>Given</h3>
  • (x - 1)^2 + (y + 3)^2 = 13
  • x + y = -3​
<h3>Solution</h3>

<u>From the second equation we get</u>

  • x = - y - 3

<u>Substituting x in the first equation</u>

  • (- y - 3 - 1)^2 + (y + 3)^2 = 13
  • (-y - 4)^2 + (y + 3)^2 = 13
  • (y+4)^2 + (y+3)^2 = 13
  • y^2 + 8y + 16 + y^2 + 6y + 9 = 13
  • 2y^2 + 14y + 12 = 0
  • y^2 +7y +6 = 0
  • (y+1)(y+6) = 0
  • y = - 1
  • y = - 6

<u>Then</u>

  • x = -4
  • x = - 9

<u>Answer</u>

  • ( -4, -1 ) and ( -9, - 6)
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3 years ago
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tatyana61 [14]
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Please help with the questions in the image
polet [3.4K]

Answer:

  • (a) C(d) = 270 + 0.20d
  • (b) C(1800) = 630
  • (c) see attached (lower right graph). The slope represents the cost (in dollars) per mile.
  • (d) It represents the fixed cost (amount she pays even if she does not drive)
  • (e) the cost increases as the number of miles driven increases

Step-by-step explanation:

(a) You are given two points, (d, C) = (360, 342) and (780, 426). The two-point form of the equation for a line can be helpful.

... y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Using the given points and variables, ...

... C = (426 -342)/(780 -360)(d -360) +342

... C = (84/420)(d -360) +342

... C = 0.20d +270 . . . . the equation for cost as a function of miles driven

(b) Fill in the value for d and do the arithmetic.

... C = 0.20·1800 +270 = 360 +270 = 630

(c) The slope of the curve is (change in dollars)/(change in miles) = $/mile, the cost of each mile driven. (It is $0.20 per mile.)

(d) The C-intercept is C(0) = cost for 0 miles driven. (It is $270.)

(e) Both your own experience and the problem statement tell you that the cost of vehicle operation varies with miles driven. If nothing else, you need to pay more for gas the farther you drive.

(In real life, you don't expect the model to be exactly linear, becasue you get a large jump in cost when you reach certain maintenance interval miles: 15,000, 30,000, and so on.)

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The answer would be 0.44
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3 years ago
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