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Sidana [21]
2 years ago
6

Through: (4, -1), parallel to y = x - 1

Mathematics
1 answer:
NARA [144]2 years ago
4 0

Answer:

The answer to your question is            y = x - 5

Step-by-step explanation:

Data

Point = (4, -1)

line ║ to y = x - 1

Process

1.- Find the slope. The slope is the coefficient of the x.

                y = 1x - 1

     slope = m = 1

2.- Identify the values x1 and y1

             x1 = 4     y1 = -1

3.- Find the equation of the line

             y - y1 = m(x - x1)

-Substitution

           y + 1 = 1(x - 4)

-Solve for y

           y + 1 = x - 4

          y = x - 4 - 1

-Result

           y = x - 5

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What does x and y equal if 3x-2 equal x-y equals 4
Alex17521 [72]
<h3>x is 2 and y is -2</h3>

<em><u>Solution:</u></em>

Given that,

3x-2 equal x-y equals 4

Which means,

3x - 2 = x - y = 4

Therefore,

x - y = 4

Also,

3x - 2 = 4

Simplify above expression

3x - 2 = 4

3x = 4 + 2

3x = 6

Divide both sides by 3

x = 2

Substitute x = 2 in x - y = 4

2 - y = 4

y = 2 - 4

y = -2

Thus x is 2 and y is -2

3 0
3 years ago
I would like to know if 1 km is greater or less then 999 m
aleksandrvk [35]
Greater 1 km = 1000 m
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7 0
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Find the area of the shape
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Step-by-step explanation:

8 0
3 years ago
A prism is filled with 48 cubes with a side length of 1/2 unit. What is the volume of the prism in cubic units? Please I need he
Aleksandr [31]

Answer:

The volume of the prism is 6 unit³

Step-by-step explanation:

In order to calculate the volume of the prism we first need to calculate the volume of each cube. The volume of a cube is given by the formula below:

volume cube = a³

Where a is the length of the side of the cube. So each cube has a volume of:

volume cube = (1/2)³ = 1/8 unit³

Since the cubes are filling the prism, the volume of the prism is the sum of the volume of all the cubes, in this case 48. Since all the cubes are equal, we can multiply the number of cubes by the volume of one cube in order to calculate the volume of the prism. We have:

volume prism = 48*volume cube

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5 0
3 years ago
Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a rando
Lisa [10]

Answer:

m=\frac{2506.833}{604.833}=4.1447  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833  

\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833  

And we can find the intercept using this:  

b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644  

So the line would be given by:  

y=4.1447 x +44.644  

Step-by-step explanation:

m=\frac{S_{xy}}{S_{xx}}  

Σx = 77, Σy = 587, Σx2 = 1593, Σy2 = 70,533, and Σxy = 10040.

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=1593-\frac{77^2}{6}=604.833  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=10040-\frac{77*587}{6}=2506.833  

And the slope would be:  

m=\frac{2506.833}{604.833}=4.1447  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833  

\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833  

And we can find the intercept using this:  

b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644  

So the line would be given by:  

y=4.1447 x +44.644  

5 0
3 years ago
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