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Nookie1986 [14]
3 years ago
10

What is the equation for a line parallel to the line shown in the graph, that passes through the point (-3, 9)?

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

Answer: option C is the correct answer.

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

Slope = (y2 - y1)/(x2 - x1)

Slope = (8 - 5)/(4 - 0) = 3/4

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3, 9) is 3/4

To determine the y intercept, we would substitute m = 3/4, x = - 3 and y = 9 into y = mx + c. It becomes

9 = 3/4 × - 3 + c

9 = - 9/4 + c

c = 9 + 9/4

c = 45/4

The equation becomes

y = 3x/4 + 45/4

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(2.34/ 7.89) times 100 = ˜29.65%
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3 years ago
Name two lines in the diagram.
Oksanka [162]

Answer:

Options (3) and (6)

Step-by-step explanation:

"A straight line is a set of all points between two points and extending beyond these points."

Therefore, from the given diagram,

Arrows connecting set of two points B and C and D and E will be straight lines.

Geometrically we denote them with an arrow over the line.

\overleftrightarrow {BC} and \overleftrightarrow {DE}

Therefore, Options (3) and (6) will be the answer.

6 0
3 years ago
Is the line for the equation y = 1 horizontal or vertical? What is the slope of this line? Select the best answer.
asambeis [7]

Answer:

The answer is the option A

The line is horizontal. The slope is 0

Step-by-step explanation:

we know that

The slope of the line parallel to the x-axis is equal to zero and is called a horizontal line

The slope of the line parallel to the y-axis is undefined and is called a vertical line

In this problem we have

y=1

This is a line parallel to the x-axis

therefore

Is a horizontal line with slope equal to zero

4 0
3 years ago
Read 2 more answers
What does the equation "m=7.50" mean in this situation?
Naddik [55]

Answer:

1. It means that m equals 7.5

2. It means 4.5 plus s equals m

3. It means n times s equals 6

4. It means m plus n times s equals t

Step-by-step explanation:

Source: Just trust me bro

3 0
3 years ago
Percentage grade averages were taken across all disciplines at a particular university, and the mean average was found to be 83.
Paha777 [63]
Correct Answer:
Option A. 0.01

Solution:
This is a problem of statistics and uses the concept of normal distributions. We need to convert the score of 90 into z-score and then find the desired probability from standard normal distribution table.

Converting 90 to z-score:

z= \frac{90-83.6}{ \frac{8.7}{ \sqrt{10}} }=2.33

Now we are to find the probability of z score being more than 2.33. From the z-table the probability comes out to be 0.01.

Therefore, we can conclude that the probability of class average is greater than 90 is 0.01.
4 0
3 years ago
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