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3 years ago

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

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