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Natali5045456 [20]
3 years ago
6

What equation represents the graphed function

Mathematics
2 answers:
Marina86 [1]3 years ago
7 0

Answer: y=\dfrac{-1}{3}x+3

Step-by-step explanation:

The equation of ab line that passes through two points (a,b) and (c,d) is given by :-

(y-b)=\dfrac{d-c}{b-a}(x-a)

From the given picture , the line is passing through points (0,3) and (3,2).

Then, the equation of the line will be :-

(y-3)=\dfrac{2-3}{3-0}(x-0)

\Rightarrow y-3=\dfrac{-1}{3}x

\Rightarrow y=\dfrac{-1}{3}x+3

Hence, the required equation of the line that represents the graphed function : y=\dfrac{-1}{3}x+3

Dmitry [639]3 years ago
7 0
From the graph you can see easily that the y-intercept is (0,3).

The line passes thru the 2 given points (0,3) and (3,2).
                                                           2-3
Thus, the slope of this line is    m  = -------- = -1/3
                                                           3- 0

and so the equation of the graphed line is    y = (-1/3)x + 3.
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4 0
3 years ago
Prove that a triangle with the sides a - 1 cm to root under a ​
vivado [14]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.  

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm  

Hence,

{AB}^2 = (a -1)^2 

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(a- b)^2 = a^2+b^2 - 2ab

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{AB}^2= a^2 + 1^2 -2\times a \times1

{AB}^2 = a^2 + 1 -2a

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Also;

{CA}^2 = (a + 1)^2

Now We know that

(a+ b)^2 = a^2+b^2 + 2ab

{CA}^2= a^2 + 1^2 +2\times a \times1

{CA}^2 = a^2 + 1 +2a

{CA}^2 = AB^2 + BC^2

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Hence, {CA}^2 = AB^2 + BC^2

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

4 0
3 years ago
8624 to the nearest thousand
Alika [10]
<span>✡ Answer: 9000 </span><span>✡

- - Solve:

If your 3 numbers to the right (in this problem its 3) are 499 or less, you round down, if its 500 or up, you round up.

In this case, round up.

- - Solve furthermore:
          9000


</span>
✡Hope this helps<span>✡</span>
4 0
3 years ago
Read 2 more answers
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