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Amiraneli [1.4K]
3 years ago
9

What is the equation of the line that is parallel to y-3x=2 and that passes through (6,1)?

Mathematics
2 answers:
Rudik [331]3 years ago
8 0

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they need to have the same slope.

y - 3x = 2      Add 3x on both sides to change the equation to slope-intercept form

y - 3x + 3x = 2 + 3x

y = 3x + 2   The slope is 3, so the parallel line's slope is also 3.

Now that you know the slope, substitute/plug it into the equation

y = mx + b

y = 3x + b    To find "b", plug in the point (6, 1) into the equation, then isolate/get the variable "b" by itself

1 = 3(6) + b  

1 = 18 + b     Subtract 18 on both sides to get "b" by itself

1 - 18 = 18 - 18 + b

-17 = b

y = 3x - 17    Your answer is the 1st option

Sauron [17]3 years ago
6 0

Answer:

y=3x-17

Step-by-step explanation:

You first get y by its and you do this by adding 3x to both sides of the equal sign. You should then get y=3x+2 and then to find the parallel line, the x should stay the same as the first equation so that takes out the -3x. Then you continue to draw the line down until you get a y-intercept which turns out to be 17. You also know that the y-intercept is going to be negative so that takes out the two 19's.

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Help pleaseeeeeeee.
Dmitry_Shevchenko [17]
Answer: 11x

---------------------------------------------------
---------------------------------------------------

Explanation:

Let L be the length of rectangle B
There are two copies of L (along the top and bottom of the rectangle). The vertical pairs of sides are both 7x each.

For the triangle, we have three sides of 12x since this is an equilateral triangle. All three sides are congruent for any equilateral triangle.

The perimeter of the triangle is
P = s1+s2+s3
P = 12x+12x+12x
P = 36x

The perimeter of the rectangle is 
P = 2*L+2*W
P = 2L+2*7x
P = 2L+14x

Since both perimeters are the same, this means 
perimeter of triangle = perimeter of rectangle
36x = 2L+14x
36x-14x = 2L+14x-14x
22x = 2L
2L = 22x
2L/2 = 22x/2
L = 11x

So the length of the rectangle, in terms of x, is 11x. This is the final answer.

Note: if we knew the value of x, then we could find the numeric value of the length for the rectangle. But since we don't know x, we leave it as 11x.

7 0
3 years ago
3 yards of ribbon can be purchased for $10. How many yards can $5 purchase.
Stells [14]

Answer:

1.5 yards

Step-by-step explanation:

5 is half of 10

half of 3 is 1.5

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

6 0
2 years ago
There are 28 students in Mr. Mineva's class. Of this class, 1/7 wears glasses. Out of those
Ostrovityanka [42]
28/7= 4
If there’s 4 people that wear glasses and 3/4 are males then it’s 3.
5 0
3 years ago
Read 2 more answers
How many 3/4s are in 2? Draw a Diagram
Iteru [2.4K]

Answer:

2 2/3

Step-by-step explanation:

2/1 x 4/3 = 8/3 = 2 2/3

8 0
3 years ago
Which pair of functions are inverse functions?<br><br> PLEASE ILL GIVE BRAINLIEST
algol13

Answer:

A

Step-by-step explanation:

To find an inverse function you switch f(x) and x, and solve for f(x) (in this case you also rename it to g(x) )

inverse of y=(x-4)/5  is  

5x =  x -4

x = 5x + 4  so A works

7 0
3 years ago
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