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Nina [5.8K]
3 years ago
12

What is the equation of the line that is parallel to the line y =-1\3

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0

Hello!

If a you want to find an equation of the line that is parallel to the given line, we must know that if two lines are parallel, then their slope will <em>always</em> have to be equal.

This means that the new equation must have a slope of -1/3.

Also, you would need to substitute the given point (6, 8) into the equation with the slope: -1/3 as well. Following these steps allows you to find the equation of line.

y = -1/3x + b (6, 5)

5 = -1/3(6) + b

5 = -2 + b (add 2 to both sides)

7 = b

Therefore, the equation of the line is y = -1/3x + 7.

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Suppose that you are asked to conduct a study to determine whether smaller class
weeeeeb [17]

Answer:

a. correlation

b. inverse linear correlation exists If the higher the population of students lead to a decrease in test score,

c. yes

Step-by-step explanation:

a. Correlation is a measure of the amount of association existing between two variables.

b. For linear correlation, if points are plotted on a graph and all the points lie on a straight line, then perfect linear correlation is said to exist. When a straight line having a positive gradient can reasonably be drawn through points on a graph positive or direct linear correlation exists,

Similarly,when a straight line having a negative gradient can reasonably be drawn through points on a graph, negative or inverse linear correlation exists,

The results of this determination give values of r lying between +1 and −1, where +1 indicates perfect direct  Positive linear correlation and −1 indicates perfect inverse correlation or Negative linear correlation and 0 indicates that no correlation exists.

If the higher the population of students lead to a decrease in test score, there will definitely be a negative correlation between class size and test score. i.e low class size result in high test score which consequently lead to high performance.

c. YES

A negative correlation means low class size result in high test score which consequently lead to better performance.

8 0
4 years ago
Find the values of the variables, giving brief reasons for your answers.
Yuki888 [10]

Answer:

55

Step-by-step explanation:

Because of the parallel lines (marked by those arrows) we know that the corner angles are the same:

110 - x = x so

110 = 2x

55 = x

4 0
3 years ago
Use the graph below to describe the linearization of the data. How would you expect the linearization to change if the data were
Ahat [919]

Answer:

It is expected that linearization beyond age 20 will be use a function whose slope is monotonously decreasing.

Step-by-step explanation:

The linearization of the data by first order polynomials may be reasonable for the set of values of age between ages from 5 to 15 years, but it is inadequate beyond, since the fourth point, located at (x,y) = (20, 5.5), in growing at a lower slope. It is expected that function will be monotonously decreasing and we need to use models alternative to first order polynomials as either second order polynomic models or exponential models.

3 0
3 years ago
The path of an underwater drone is modeled by quadratic function d, where x is the horizontal distance, in miles, from the launc
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Based on the vertex form equation, the statements that are true are:

A.) the drone reaches its minimum 25 miles from the launch site

C.) at its minimum, the drone’s depth is -180 meters.

<h3>Rewriting the equation in vertex form</h3>

Given:

x = horizontal distance, in miles, from the launch site

d(x)= depth below the surface of the water, in meters.

Equation= 0.4x ²- 20x + 70

Hence

Rewritten the given equation ( 0.4x ²- 20x + 70) in vertex form will be:

Vertex form: d(x)=[2(x-25)²÷5] -180

Vertex= -180, 25

Minimum=-180 at x=25

Therefore the correct option is A, C.

Learn more about vertex form here:brainly.com/question/17987697

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6 0
2 years ago
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