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dimaraw [331]
3 years ago
14

If the length of one base of a trapezoid is 44, the median is 36, and the other base is 2x + 10, find x.

Mathematics
1 answer:
sergejj [24]3 years ago
6 0

Answer:

  9

Step-by-step explanation:

The median is the average of the base lengths. Where "b" is the length of the other base, we have ...

  36 = (44 +b)/2

  b = 72 -44 = 28

We are told this is the same as 2x+10, so we have ...

  28 = 2x +10

  18 = 2x . . . . . subtract 10

  9 = x . . . . . . . divide by 2

The value of x is 9.

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Which of the following equations represents a linear function? Question 8 options: y =6x x3 – y = –2 y =4x−−√ 2x – 4y = 6
Alekssandra [29.7K]

Answer:

Following equations represents a linear function:

  • y = 6x
  • y = 4x - √2
  • x – 4y = 6

Step-by-step explanation:

We know that a linear function is of the form

y = mx+b

where m is the rate of change or slope and b is the y-intercept.

Please note that y = mx+b represents a straight line because the degree of a linear function is always 1.

Now, let us check whether the given functions represent the linear functions or not.

Checking y = 6x

y = 6x

comparing with the equation y = mx+b

slope = 6, and y-intercept b = 0

y = 6x is a straight line because the degree of the linear equation is always 1.

Checking x³- y = -2

x³- y = -2

As the power of x variable 3. So, its graph will no longer be a straight line,

Thus, it is not a linear function as a linear function can not have any exponent.

Hence, x³- y = -2 is not a linear function.

Checking y = 4x - √2

y = 4x - √2

comparing with the equation y = mx+b

slope = 4, and y-intercept b = -√2

Thus, y = 4x - √2 is a straight line because the degree of the linear equation is always 1. Thus, the graph of y = 4x - √2 is a straight line.

Checking x – 4y = 6

x – 4y = 6

writing the in the form y = mx+b

4y = x - 6

divide both sides by 4

4y/4 = x/4 - 6/4

y = x/4 - 3/2

comparing with the equation y = mx+b

slope = x/4, and y-intercept b = -3/2

Thus, x – 4y = 6 is a straight line because the degree of the linear equation is 1. Thus, the graph of x – 4y = 6 is a straight line.

SUMMARY:

Following equations represents a linear function:

  • y = 6x
  • y = 4x - √2
  • x – 4y = 6
4 0
2 years ago
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