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RoseWind [281]
3 years ago
10

Write the equation of the line fully simplified slope-intercept form

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
8 0

Answer:

y = (5/2)x - 5

Step-by-step explanation:

SLOPE:

The slope is rise over run, and in this case (thanks to the graph), we can do the [difference of y] / [difference of x] pretty easily. This is 5 / 2

Y-INTERCEPT:

Y-intercept is simple: where the line touches the y-axis. This happens at y = -5.

Therefore, the equation y = (5/2)x - 5

saul85 [17]3 years ago
7 0

Answer:

y=mx+b

Step-by-step explanation:

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Which of the following graph represents the equation y-2=3(x-1)​
pshichka [43]

Answer with explanation:

To draw the graph of linear equation of the form

  y-a=m (x-b)

We will first write it in slope intercept form which is of the form

   \frac{x}{a}+\frac{y}{b}=1\\\\\rightarrow y-2=3 \times (x-1)\\\\\rightarrow y-2=3 x-3\\\\\rightarrow 3 x-y=3-2\\\\\rightarrow 3 x-y=1\\\\\rightarrow \frac{x}{\frac{1}{3}}+\frac{y}{-1}=1

It will cut x axis and y axis at , (\frac{1}{3},0) \text{and} (0,1) respectively.

As Euclid postulate States that, Unique equation of line can be Determined by two points,So join these two points.And Infinite number of points lie on a line.

Graph B

6 0
3 years ago
A map has a scale of 1:25 000.How many kilometres in actual distance is represented by the length 6.8cm on a map?solution​
Ghella [55]

Answer:

= 1.7km

Step-by-step explanation:

1 : 25000 \\ 1cm =  > 25000cm \\ 6.8cm =  > 25000 \times 6.8 \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   =  > 170000cm \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  > 1700m \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   =  > 1.7km

hope this helps you.

4 0
3 years ago
Emily has 12 fruits in her bowl. She has 3 apples, 5 bananas, 1 pear and 3 oranges. A fruit is selected at random. What is the p
blsea [12.9K]

Answer: The probability that the fruit is an orange or a pear is \dfrac{1}{3} .

Step-by-step explanation:

Given : Emily has 12 fruits in her bowl.

She has 3 apples, 5 bananas, 1 pear and 3 oranges.

A fruit is selected at random.

P(orange)  = \dfrac{\text{Number of oranges}}{\text{Total fruits}}

=\dfrac{3}{12}

P(pear)= \dfrac{\text{Number of pears}}{\text{Total fruits}}

=\dfrac{1}{12}

Since both events of selecting orange and pear are mutually exclusive , so

The probability that the fruit is an orange or a pear = P(orange) + P(pear)

=\dfrac{3}{12}+\dfrac{1}{12}=\dfrac{4}{12}=\dfrac{1}{3}

Therefore , the probability that the fruit is an orange or a pear is \dfrac{1}{3} .

5 0
3 years ago
Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
PIT_PIT [208]

Answer:  The approximate area of the circle is:  <span>3,629.84 cm² .</span>
______________________________________________________
Area of a circle, "A" :  A = π * r² ;

  in which: A = Area of circle ;
               π <span>≈ 3.14 ; 
</span>               r = radius; 

radius of a circle, "r" = d / 2  ;  in which:  "d = diameter" ;

Given "d = 64 cm " ; 
         
                       r = d / 2 = 64 cm / 2 = 32 cm ;
____________________________________________
   So;    A = π * r²  ;
 
            A ≈ (3.14) * (32 cm)² ;
 
            A ≈ (3.14) * (1156 cm²) ;
_____________________________________________

            A  ≈  3,629 .84 cm²  .
_____________________________________________
3 0
3 years ago
PLS HELP ME, i’m gonna fail this exam, you’ll save me !
zhuklara [117]
That’s hard , I don’t even know
7 0
3 years ago
Read 2 more answers
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