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satela [25.4K]
3 years ago
10

What is the equation for the line that passes through the points (-2,1) and (1,-11)

Mathematics
1 answer:
givi [52]3 years ago
8 0

Answer:

y=4x+7

Step-by-step

(-2,1) and (1,-11)

1)Rule you should use is run over rise aka slope

y²-y^1=

x^2-x^1=

(-11)-1=12

1-(-2)=3

12/3=4

slope =4

2)Rule of point slope intercept

y - y1 = m(x - x1)

y+1=4(x+2)

y+1=4x+8

   -1     -1

y=4x+7

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If each of the cubes in a Rubik's Cube represented 1 cubic inch, what would be the volume of the Rubik's Cube?
kicyunya [14]

Answer:

The volume of the Rubik's Cube is 27 in^3

Step-by-step explanation:

Each face of a Rubik's Cube has 3x3 cubes, then each face has 9 small cubes.

We can think of a Rubik's Cube as 3 pieces, such that each piece has 9 small cubes on it, and the 3 pieces are: Front side, middle part, back part.

Then the total number of small cubes on a Rubik's cube is 9*3 = 27 small cubes.

Now we know that each one of these small cubes has a volume of 1 in^3

Then the volume of 27 of these cubes is 27 times the volume of a single smaller cube, then the volume of the Rubik's Cube is:

V = 27*( 1 in^3) = 27 in^3

5 0
3 years ago
Need some help please?
n200080 [17]

The value of the unknown length is 24

<h3>How to determine the unknown length?</h3>

Represent the unknown length with x.

So, we have the following equivalent ratio:

30 : 30 + x = 25 : 45

Express as fraction

30/30 + x = 25/45

Simplify the fraction

30/30 + x = 5/9

Cross multiply

150 + 5x = 270

Evaluate the like terms

5x = 120

Divide by 5

x = 24

Hence, the value of the unknown length is 24

Read more about similar shapes at:

brainly.com/question/24214480

#SPJ1

5 0
2 years ago
Graph a line that contains the point (4,3) and has a slope 1/2
Roman55 [17]

Answer: The graph is attached.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

We can find "b" substituting the slope and coordinates of the (4,3) into thte equation  y=mx+b, and then solving for "b":

3=\frac{1}{2}(4)+b\\\\3-2=b\\\\b=1

By definition, the line intersects the x-axis when "y" is zero.

Then, we need to substitute the y-intercept and y=0 into  y=mx+b and then solve for "x" in order to find the x-intercept:

0=\frac{1}{2}x+1\\\\-1(2)=x\\\\x=-2

Knowing the x-intercept and the y-intercept, we can graph the line (The graph is attached)

6 0
3 years ago
Read 2 more answers
1. Scientists randomly select ten groups from a population of men over 50 years old. They calculate the mean
Naya [18.7K]

Answer:

Step-by-step explanation:

Sampling Variability

Hope that helped! :)

5 0
3 years ago
Determine whether the equation represents a direct variation 2y=5x+1
olga nikolaevna [1]
<span>2y/2=5x+1/2
y=5x/2+1/2
no it's not a direct variation because of 1/2</span>
8 0
3 years ago
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