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WINSTONCH [101]
3 years ago
10

.......................................

Mathematics
1 answer:
stepan [7]3 years ago
3 0

Answer:

  • k = - 7/3

Step-by-step explanation:

The given expression is the sum of three non-negative expressions. The square is zero or positive, the absolute value is zero or positive.

<u>Since the sum is zero, each of the expressions should equal zero:</u>

  • 2x + 5y - 7 = 0
  • 4x - 2y = 0
  • 5x - 1/2y + k = 0

<u>From the first 2 equations we get:</u>

  • 4x = 2y ⇒ y = 2x
  • 2x + 5(2x) = 7
  • 12x = 7
  • x = 7/12

<u>Find the value of y:</u>

  • y = 2x= 2*7/12 = 7/6

<u>Substitute the values into third equation and find the value of k:</u>

  • 5x - 1/2y + k = 0
  • 5*7/12  - 1/2(7/6) + k = 0
  • 35/12 - 7/12 = - k
  • 28/12 = - k
  • 7/3 = - k
  • k = - 7/3
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Which basic geometric figure is labeled with either one capital letter or three capital letters?
tester [92]

<u>Answer-</u>

An angle is labeled with either one capital letter or three capital letters

<u>Solution-</u>

<em>Point-</em>

As a point is 0 dimensional, so you just need 1 point to define a point.  

<em>Line-  </em>

As a line is 1 dimensional,so you need 2 points to define a line.  

<em>Plane-</em>

A plane is 2 0r 3 dimensional, so you need 3 points to define a plane.

<em>Angle-</em>

An angle measures the amount of turn. An angles is labeled with a single letter at the vertex, as long as it is perfectly clear that there is only one angle at this vertex. Otherwise, it is named according to the intersecting lines with 3 letters.


3 0
3 years ago
Solve the equation for h? X=r-h/y
Troyanec [42]

Answer:

h = yX -yr

Step-by-step explanation:

X=r-h/y

X - r = h/y

y*(X-r) = h

h = yX -yr

4 0
3 years ago
The range is how many more times the difference of the means?<br> *****!,WILL MARK BRAINLIEST ****!!
suter [353]

Answer:

0.15

Step-by-step explanation:

3divided by 2

6 0
3 years ago
Que alguien me ayude cuanto hace q yo sali de escuela​
swat32

Answer:

a=20 m²

b=21 cm²

c=36 dm²

Step-by-step explanation:

A) 12²+16²=a²

144+256=a²

400=a²

√400=a

a=20

B) 28²+b²=35²

784+b²=1225

b²=1225-784

b²=441

b=√441

b=21

C) c²+15²=39²

c²+225=1521

c²=1296

c=√1296

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7 0
3 years ago
Find the volume of a pyramid with a square base, where the perimeter of the base is 10.1\text{ ft}10.1 ft and the height of the
rjkz [21]

Answer:

28.5 ft^3

58.3 m^3

Step-by-step explanation:

volume of a pyramid = 1/3 x length x width x height

Perimeter of a pyramid = 4 x length

10.1 = 4 x length

length = 10.1 / 4 = 2.525

1/3 x (2.525 x 2.525 x 13.4) = 28.5 ft^3

1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

8 0
3 years ago
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