Answer:
y - 2 = (-3/7)(x + 5)
Step-by-step explanation:
Recall that the slopes of a line and another line perpendicular to the first are negative reciprocals.
The slope of the given line is 7/3. The negative reciprocal of that is -3/7. Thus, we immediately eliminate the fourth answer choice.
We must now find the equation of the perpendicular line, with slope -3/7, that passes through (-5, 2). We'll do that using the point-slope formula for the equation of a straight line.
That formula is y - k = m(x - h), where m is the slope and (h, k) is the given point.
Substituting 2 for k, -5 for h and -3/7 for m, we get:
y - 2 = (-3/7)(x + 5). This matches the 3rd given possible answer.
Answer:
i)
Variables: length of bolt, number of flaws of bolt
ii)
Length of bolt: Quantitative continuous
number of flaws of bolt: Quantitative discrete
iii)
Observational unit: Bolts
iv)
sample size=75
Step-by-step explanation:
i)
The variables in the conducted study are "length of bolt" and "number of flaws on each bolt" because quality engineer is interested in evaluating the length of bolt and the number of flaws each bolt is having. Thus, the length and number of flaws for each bolt varies and we can say that "length of bolt" and "number of flaws on each bolt" are two variables in the conducted study.
ii)
The length of bolt can be presented numerically and further that the length of a bolt is measurable and thus, the length of bolt is a quantitative continuous variable.
The number of flaws of each bolt can be presented numerically and further that the number of flaws of each bolt can be counted and thus, the number of flaws of each bolt is a quantitative discrete variable.
iii)
The conducted study indicates that observational units are "bolts" because for each bolt its length and flaws are determined.
iv)
The sample size is 75 because a quality engineer selected 75 bolts and then measured its length and flaws.
The square root of 25 because you get a whole number (five)
Answer:
Step-by-step explanation:
Since each angle is different it is scalene. Since all angles are less than 90 degrees it is acute.
So this is a Scalene Acute triangle.
