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cupoosta [38]
1 year ago
9

Complete the table of values for the equation, 16x + 4y = 12.

Mathematics
1 answer:
Ann [662]1 year ago
7 0

The x-y coordinates for the given equation are: (-2,11),(-1,7),(0,3), (1,-1) and (2,-5).

<h3>Linear Function</h3>

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

  • a= the slope;
  • b=the constant term that represents the y-intercept.

The given equation is 16x + 4y = 12. For solving this question, you should replace the given values of x  for finding the values of y.

Thus,

  • For x= -2,  the value of y will be:

       16*(-2)+4y=12

      -32+4y=12

      4y=12+32

     4y=44

      y=11

  • For x= -1,  the value of y will be:

         16*(-1)+4y=12

  • -16+4y=12
  • 4y=12+16
  • 4y=28
  • y=7
  • For x= 0,  the value of y will be:

         16*(0)+4y=12

  • 0+4y=12
  • 4y=12
  • 4y=12
  • y=3
  • For x= 1,  the value of y will be:

         16*(1)+4y=12

  • 16+4y=12
  • 4y=12-16
  • 4y=-4
  • y= -1
  • For x= 2,  the value of y will be:

         16*(2)+4y=12

  • 32+4y=12
  • 4y=12-32
  • 4y=-20
  • y= -5

Read more about the linear equation here:

brainly.com/question/1884491

#SPJ1

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The volumes of two similar figures are given. The surface area of the larger figure is given. Find the surface area of the small
frez [133]

Answer:

surface area of the smaller figure ≈ 1474.64 m²

Step-by-step explanation:

The figures are similar base on the question . The surface area and the volume of the larger figure is given while only the figure of the smaller figure is given.

To find the surface area of the smaller figure we simply use the ratios. That is the scale factors.

Therefore, they are similar figure the scale factor  can be represented as a:b.

The scale factor for volume is cubed.

volume of larger figure/volume of the small figure = a³/b³

4536/2625 = a³/b³

a/b = 16.5535451/13.7946209

Note that for two similar solid with scale factor a:b the surface area ratio is a²: b² (the scale factor is square)

16.55²/13.79² = 2124/x

273.9025/190.1641 = 2124/x

cross multiply

273.9025x = 403908.54840

x = 403908.54840/273.9025

x = 1474.6435261

x ≈ 1474.64 m²

4 0
3 years ago
I need help on this, if anyone knows how to do this can you help me out pls
ASHA 777 [7]
<h3>Answer:  (3, 0)</h3>

=================================================

Explanation:

Let's isolate x in the first equation.

x-2y = 3

x = 3+2y

Then we'll plug this into the second equation

Afterwards, solve for y.

2x + 4y = 6

2(3+2y)+4y = 6

6+4y+4y = 6

8y+6 = 6

8y = 6-6

8y = 0

y = 0/8

y = 0

Use this to find x.

x = 3+2y

x = 3+2(0)

x = 3

The solution is therefore (x,y) = (3, 0)

If you were to graph both lines, then they would intersect at the location (3,0).

-----------------------------

Checking the answer:

Plug x = 3 and y = 0 into the first equation.

x-2y = 3

3-2(0) = 3

3 - 0 = 3

3 = 3 that works

Repeat for the other equation

2x+4y = 6

2(3) + 4(0) = 6

6 + 0 = 6

6 = 6 that works as well

Both equations are true when (x,y) = (3,0).

The solution is confirmed.

6 0
2 years ago
What is the median for the set of data?<br><br> 6, 7, 10, 12, 12, 13<br><br> 12<br> 7<br> 10<br> 11
djverab [1.8K]

Answer:

The median for the set of data is

11

8 0
3 years ago
Need help please!!!!!
11111nata11111 [884]

Answer:

AAS

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
PLEASE HELP WILL GIVE BRAINLIEST
coldgirl [10]

Answer:

1)4x+4y=1, 6x−y=1

x+y=4, x−y=2

x+y=−2,x+2y=2

2)2x+y=3, 2x−8y=19

Step-by-step explanation:

hope this helps

have a nice day ^_^

6 0
2 years ago
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