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Degger [83]
2 years ago
6

What is the equation of a line that is parallel to the given line and passes through the point (-2,2)

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
3 0

The equation of the line will be y = \dfrac{1}{5}x + \dfrac{12}{5}

<h3>What is an equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

First, we need to find the equation of the line that is given:

We can use the formula,

m = \dfrac{y_1 - y_2}{x_1-x_2}

m=\dfrac{-3-(-4)}{0-(-5)}=\dfrac{1}{5}

So the equation for this line is  

y = (1/5) x - 3

This means that the equation for the line we are trying to find has a slope of as well

Let's put the points in the equation and try to find the y-intercept:

2 = \dfrac{1}{5} ( -2 ) + b

\dfrac{15}{5} = b

So the final equation for the line we are trying to find is y = \dfrac{1}{5}x + \dfrac{12}{5}

To know more about equations follow

brainly.com/question/2972832

#SPJ1

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Paz has $18 in her wallet. This is 3 times the money in her pocket. Write and solve an equation to find out how much money is in
taurus [48]
6. the answer is 6. because 3x what she has is equal to 18 all u do is divide. u get six.

6 0
3 years ago
In a triangle, two sides that measure 8 centimeters and 11 centimeters form an angle that measures 82°. to the nearest tenth of
Gwar [14]
We can use the Сosine formula to solve this problem.
<span>First we must find the third side (АС) of the triangle:
</span>
AC^2=AB^2+BC^2-2*AB*BC*cos82^o \\ AC^2=8^2+11^2-2*8*11*0.1392 \\ AC^2=64+121-24.4992= 160.508 \\ AC= \sqrt{160.508} \approx  12.67 \ cm
<span>
The smallest angle of the triangle lies opposite the smallest side, so we need to find m</span>∠C.

cosC= \frac{AC^2+BC^2-AB^2}{2*AC*BC}  \\  \\ cosC= \frac{12.67^2+11^2-8^2}{2*12.67*11}= \frac{160.53+121-64}{278.74} = \frac{217.53}{278.74} \approx  0.7804

Now we can use Bradis's Table (I don't know the name in English, maybe Trigonometric Table?) to find m∠C:

m∠С = 38°42' = 38.7°

Answer: 38.7°


<span>I hope this helps</span>

7 0
4 years ago
¿Cuántos litros hay en 25 vasos si cada vaso contiene 0,20 litros?
Norma-Jean [14]
Voy a decir que son 5 litros
4 0
3 years ago
Eric's average income for the four months of the year 1450 point to $5 what must be his average income for the remaining eight m
Zielflug [23.3K]

Answer:

$2668.63

Step-by-step explanation:

If the average of 4 months is $5

Meaning the total sum for 4 months

4×5 =$20

If the average for the year was $1780.75​

It means the total sum for a year is;

$1780.75​×12 =$21369

This means the money received for the remaining 8 months is;

$21369-$20=$21349

Hence the average income for the remaining 8months is ;

The total amount for 8 months / 8;

$21349/8= $2668.625

$2668.63

8 0
3 years ago
Are you smart? help me in this question please?
shepuryov [24]

Answer:

Angle 1 = 38 and angle 4 = 142 degrees.

8 0
3 years ago
Read 2 more answers
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