To answer this you must know the rule for the slopes of perpendicular lines. the rule is that if 2 lines are perpendicular to each other, then their slopes are opposite reciprocal.
the word opposite means that if the slope of one is positive, then the other is negative. And vice versa.
the word reciprocal means that you divide 1 by whatever the slope is. So the reciprocal of x is 1/x.
so let's say we have a slope of -2 and what to find a line perpendicular. We need to find the opposite reciprocal. the opposite of -2 is 2. And the reciprocal of 2 is 1/2. So perpendicular line would have slope of 1/2
now to answer yours.
We know that y = mx + b, where m = slope and b = y intercept.
so:
y - 3 = 4 (x + 2)
y = 4x + 11
so m = 4. the slope is 4.
the opposite of 4 is - 4 and the reciprocal of - 4 is - 1/4. So that is out new slope of perpendicular line.
We know that given a point we can use:
(y - y1) = m (x - x1), where (x1, y1) is the given point
We are given point (- 5, 7) and we know m = - 1/4. so:
y - (7) = - 1/4(x - (- 5))
y - 7 = - 1/4(x + 5)
y - 7 =- 1/4x - 5/4
y = - 1/4x + 23/4
this should be equAtion. We can check by seeing if slopes are opposite reciprocal and by plugging in point.
- 1/4 is opposite reciprocal of 4.
plug in point
7 = - 1/4 (- 5) + 23/4
7 = 5/4 + 23/4
7 = 7
this is correct
Answer:
60
Step-by-step explanation:
The initial y value can be found by setting x to 0. Anything to the power of 0 is 1, so 1.71^x when x is 0 is just 1. 60*1=60, which is the initial y value. Hope this helps!
Answer:
3/4= 75 % of the data is greater than the first quartile in a box-and-whisker plot.
Step-by-step explanation:
75 % of the data is greater than the first quartile in a box-and-whisker plot.
The first quartile denoted by Q1 is the median of the lower half of the data set.
This means that 25% of the values lie in the first quartile and 75 % of the values lie above the first quartile.
In the box and whisker plot the longer box indicates the interquartile range whereas the sides represent the 1st and 3rd quartile. The first quartile is the region where the values start and increase to the interquartile range.
75 % means = 75/100 or 0.75 or 3/4
75/100= 15/20= 3/4
Answer:
add an answer bro
Step-by-step explanation:
Answer:
It's a perfect cube, but not a perfect square.
Step-by-step explanation:
2^3 = 8, meaning 8 is a perfect cube. But since 2^2 = 4 and 3^2 = 9, and 8 is in between, 8 is not a perfect square.
I hope this helped.
