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Leto [7]
3 years ago
9

A line passes through the points (4,22) and (9,27) Write a linear function rule in terms of x and y for this line.

Mathematics
1 answer:
murzikaleks [220]3 years ago
8 0

Answer:

Step-by-step explanation:

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One number is 2 less than a second number. twice the second number is 16 more than 4 times the first. find the two numbers.
Nostrana [21]
Let the numbers be x and y

x= y-2.... (1)
and, 2y = 16 + 4x.... (2)

putting the value of x from (1) in (2),

2y = 16 + 4x
=> 2y = 16 + 4(y-2)
=> 2y = 16 + 4y - 8
=> 2y = 8 + 4y
=> 2y - 4y = 8
=> -2y = 8
=> y =-8/2
=> y= -4

and x = -4-2 = -6

hence , in short the numbers are -2 and -4



4 0
3 years ago
Can someone please help? This is due soon and I have no clue how to do it. Can someone please explain how to do this?
riadik2000 [5.3K]

9514 1404 393

Answer:

  y = 27

Step-by-step explanation:

The altitude of a right triangle creates two <em>triangles that are each similar to each other and to the larger right triangle</em>. This means corresponding sides are proportional.

If we write the proportion for the legs, we get ...

  (long leg) / (short leg) = y/18 = 18/12

Multiplying by 18 gives us ...

  y = 18(18/12)

  y = 27

_____

<em>Additional comment</em>

The leg/leg proportion above gave rise to the relation ...

  altitude² = (left hypotenuse segment)×(right hypotenuse segment)

That is, the altitude is the <em>geometric mean</em> of the two hypotenuse segments it touches. 18 = √(12y)

__

There are two other "geometric mean" relationships in this triangle.

  • The upper left side is the geometric mean of the left hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).
  • The upper right side is the geometric mean of the right hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).

Each of these relationships is ultimately derived from the fact that all of the triangles are similar. You really only need to remember that these triangles are all similar and corresponding sides of similar triangles are proportional. (In some cases, it can be a bit of a shortcut if you remember the geometric mean relations.)

3 0
3 years ago
Your teacher is giving you a test worth 100 points containing 40 questions. There are two‐point and four‐point questions on the
Arisa [49]
30 questions worth 2 points, and 10 questions worth 4 points.
3 0
3 years ago
Read 2 more answers
Page 128 slopes and intercepts
ioda
How on earth is anyone suppose to answer this !!
3 0
3 years ago
What is the estimate difference between 2.97 1 2/11​
zheka24 [161]

Answer:

2

Step-by-step explanation:

Estimate 1 2/11 to 1.

Estimate 2.97 to 3.

3 - 1 = 2

3 0
3 years ago
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