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earnstyle [38]
3 years ago
5

Solve the simultaneous equation 3x-2y=7 7x+2y=13

Mathematics
1 answer:
Lerok [7]3 years ago
5 0

Answer: x= 2, y= -1/2

Step-by-step explanation:

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The Yates family’s cell phone bill is $175 a month. How much will they pay for a year (12 months)?
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Step-by-step explanation:

175x12=2100

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What is the period of the graph of y=2 cos( pi 4 x)+3?<br><br> A. 4/pi<br> B. pi/4<br> C. 8<br> D. 2
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Step-by-step explanation:

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8 0
2 years ago
Help? with complete solution​ please help me please
serious [3.7K]

9514 1404 393

Answer:

  1. 13 ft
  2. (a) 1 second; (b) t = 0, t = 1/2

Step-by-step explanation:

<h3>1. </h3>

Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...

  5² +(w -1)² = w²

  w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms

  26 = 2w . . . . . . . . . . . . add 2w

  13 = w . . . . . . . . . . . . divide by 2

The length of the wire is 13 feet.

__

<h3>2. </h3>

(a) When h = 0, the equation is ...

  0 = -16t^2 +8t +8

Dividing by -8 puts this into standard form:

  2t^2 -t -1 = 0

Factoring, we get ...

  (2t +1)(t -1) = 0

The positive value of t that makes a factor zero is t = 1.

It will take 1 second for the gymnast to reach the ground.

__

(b) When h = 8, the equation is ...

  8 = -16t^2 +8t +8

Subtract 8 and divide by 8 to get ...

  0 = -2t^2 +t

  0 = t(1 -2t) . . . . factor out t

Values of t that make the factors zero are ...

  t = 0

  t = 1/2

The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.

8 0
2 years ago
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