Answer:
The equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the equation of a line
y = 2x + 4
comparing with the slope-intercept form of the line equation
The slope of the line AB is m = 2
We know that the parallel lines have the same slope.
Thus, the slope of the new line is also 2.
now we have,
- The slope of new line m = 2
Using the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 2 and the point (x₁, y₁) = (3, -2)

y - (-2) = 2(x - 3)
y + 2 = 2x - 6
subtracting 2 from both sides
y + 2 - 2 = 2x - 6 - 2
y = 2x- 8
Therefore, the equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:
Answer:
The answer is B.
Step-by-step explanation:
Since such a frequent control is applied on the production line, 20 of the metal discs are inspected every hour, which means that any error will be corrected and prevented and that, as stated in the question, leads to a uniform distribution of the diameters of the metal discs.
According to the information given in the question and the central limit theorem, the observed distribution type will be normal distribution which means that the collected data will be consisted with respect to the mean and most of the data points will be around the mean point.
I hope this answer helps.
Answer: 14.16 feet
Step-by-step explanation:
Here, A snail travels at a rate of 2.36 feet per minute.
Let x represents the number of the minutes and y represents the distance covered by the snail in x minutes.
Therefore, We get a function which describes the given situation,
That is, y = 2.36 x
If we have to find out the distance covered by the snail in 6 minutes.
Then x = 6,
⇒ y = 2.36× 6 = 14.16
Thus he covered 14.16 feet in 6 minutes.