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TEA [102]
3 years ago
13

A is the point (5, 7) and B is the point (9, -1)" Find the equation of the line AB

Mathematics
2 answers:
larisa [96]3 years ago
8 0

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, A(5,7) and B(9,-1).

Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (5,7) and going to (9,-1):

Rise = (-1 -7) = -8

Run = (9-5) = 4

Rise/Run (slope) = -8/4 or -2

The equation becomes y = -2x + b

We can find b by entering either of the two given points and solving for b. I'll pick (5,7):

y = -2x + b

7 = (-2)*(5) + b

7 = -10 + b

b = 17

The equation is y = -2x + 17

Check this with a DESMOS graph (attached).

Nadya [2.5K]3 years ago
3 0
I don't recognize this problem, please make sure the input is complete
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The number of windows on each floor form an arithmetic sequence; 124 windows on the first floor, 116 windows on the second floor
zubka84 [21]

Answer:

Formula is 132 - 8n, and there are 52 windows on 10th floor.

Step-by-step explanation:

difference = 116-124 = -8  ( 8 less windows for every floor you go up)

the first fllor has 124 windows

Formula:

a_{1} = 124

a_{n} = 124 + (-8)(n - 1) = 132 - 8n

10th Floor:

a_{10} = 124 + (-8)(10 - 1) = 124 + (-8)(9) = 124 - 72 = 52  windows

6 0
3 years ago
Determine the model that best describes the data and then write an equation for the function that models the data.
zhannawk [14.2K]

Answer:

  s = 4·3^t

Step-by-step explanation:

After the first term, each term in the sequence is 3 times the previous one. This is a description of a geometric sequence. Here, the first term is 4, so the general term is ...

  an = 4·3^n . . . . for n counting from 0

We can name the function "s" for "speed" and use "t" for the time in seconds. Then the equation is ...

  s = 4·3^t

4 0
3 years ago
What is always true about the sum of the angles in a triangle in Euclidean geometry (regular geometry)?
Anna71 [15]
In a Euclidean<span> space, the </span>sum<span> of measures of these three </span>angles of<span> any </span>triangle<span> is invariably equal to the straight </span>angle
Hope this helps

6 0
4 years ago
Read 2 more answers
How does product (result) of (a-b)2 compare the product (a+b)
____ [38]
I'm assuming you mean (a-b)^2 : (a+b)^2

a^2 + b^2 cancel out leaving

-2ab versus +2ab

Therefore (a+b)^2 is +4ab greater.


5 0
3 years ago
For each boat he sells, Mick earns $149 in
zavuch27 [327]

Answer: c = 149 + 0.02p

Step-by-step explanation:

From the question,

P = purchase price of the boat

C = Mick's commission

From the scenario in the question, the commission earned by Mick will be:

c = 149 + (2% × p)

c = 149 + (0.02p)

c = 149 + 0.02p

8 0
3 years ago
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