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fenix001 [56]
3 years ago
10

Write the equation of the line that passes through (4,2) and is parallel to the line y=2x-1

Mathematics
2 answers:
Mariulka [41]3 years ago
8 0

Answer: y = 2x-6

Step-by-step explanation:

So we need to write the equation of a line parallel to y=2x-1.

In parallel lines, the slope is the same, so in our new line the slope will be 2x.

We have the equation y = 2x right now. Let's plug in (4,2) for (x,y) and see if it works out, since it must pass through that point.  

y = 2x

2 = 2 * 4

2 doesn't equal 8.  

But if we subtract 6 from the right side of the equation -

y = 2x-6

then it checks out

2 = 2 (4) - 6

2 = 8 - 6

2 = 2

irakobra [83]3 years ago
8 0
Answer: y=2x-6

Let’s first rewrite the equation given

y=2x-1

we know that the equation we need to make is parallel to this, which tells us that it will have the same slope.

Our new equation so far is:

y=2x+b

This is because we know the slope, but not the y-intercept. Let’s find this now but substituting the point into this equation

2=2(4)+b

*multiply 2 and 4*

2=8+b

*subtract 8 on both sides*

2=8+b
-8 -8
_____
-6=b

Let’s substitute this into where we had b previously, and finish our equation

y=2x-6

Hope this helps comment below for more questions :)
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Juli2301 [7.4K]
Given s÷5=5
   ⇒s=5×5
  ⇒s=25
3 0
3 years ago
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What is the answer to this math question
mezya [45]

Answer:

11

Step-by-step explanation:

1.80m + 0.6s = 12.00

[substitute the value of m into the equation]

1.80×(3) + 0.6s = 12

5.4 + 0.6s = 12

[make s the subject of the formula]

0.6s = 12 - 5.4

0.6s = 6.6

[divide both sides of the equation by 0.6]

0.6s / 0.6 = 6.6 / 0.6

s = 11

To prove that 11 is correct

[substitute the value of m and s into the equation]

1.80m + 0.6m = 12.00

1.80×(3) + 0.6×(11) = 12.00

5.4 + 6.6 = 12.00

12.00 = 12.00

8 0
2 years ago
She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing t
azamat

The glass will contain <u>89.086 milliliters</u> of juice with 7 ice cubes, using the equation of the line of best fit, y =  -29.202x + 293.5.

In the question, we are informed that the equation of the line of best fit, for the, scatter plot with x representing the number of ice cubes and y representing the milliliters of juice is given as y =  -29.202x + 293.5.

We are asked to tell how many milliliters of juice will be in a glass with 7 ice cubes based on the line of best fit.

To find the milliliters of juice in the glass with 7 ice cubes, we substitute x = 7, in the equation of the line of best fit, to get a value of y, representing the milliliters of juice in the glass.

Thus,

y =  -29.202x + 293.5,

or, y =  -29.202(7) + 293.5 {Substituting x = 7},

or, y = -204.414 + 293.5,

or, y = 89.086.

Thus, the glass will contain <u>89.086 milliliters</u> of juice with 7 ice cubes, using the equation of the line of best fit, y =  -29.202x + 293.5.

Learn more about the equation of the line of best fit at

brainly.com/question/1564293

#SPJ1

4 0
2 years ago
Rigo and Ian went shopping for soccer cleats and practice uniforms. Rigo spent $451, before taxes, and purchased three uniforms
yan [13]

Answer:

The price of uniform U= $145

price of each pair of cleats C= $16

Step-by-step explanation:

Let:

The Price of Each Uniform = U

The Price of Each Pair of Cleats = C

Rigo spent $451, before taxes, and purchased three uniforms and one pair of cleats.

→ Equation A

Ian spent $757, before taxes, and purchased five uniforms and two pair of cleats.

→ Equation B

Let's calculate → 2(Equation A) - (Equation B)

2(3U+C)-(5U+2C)= 2(451) -757

6U+2C-5U-2C= 145

U=$ 145

3U+C= 451

3(145)+C= 451

C= 451-435

C= $16

3 0
3 years ago
The ratio of boys to girls in a group is 3:1. If there are 28 more boys than girls, work out how many people there are in total.
puteri [66]

Answer:

84:56, I think?

3 x 28 for the boys then minus 28 for the girls

3 0
2 years ago
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