Two similarities between constructing a perpendicular line through a point on a line and constructing a perpendicular through a point off a line are;
- 1. Arcs are drawn to cross the given line twice on either side relative to the point
- 2. The perpendicular line is drawn using a straight edge by connecting the small arcs formed using the arcs from step 1, to the point on the line or off the line
Description:
1. One of the first steps is to place the compass on the point and from
point, draw arcs to intersect or cross the given line at two points.
2. The compass is placed at each of the intersection point in step 1 and
(opened a little wider when constructing from a point on the line) arcs are
drawn on one (the other side of the point off the line) side of the line with
the same opening (radius) of the compass to intersect each other.
3. From the point of intersection of the arcs in step 2, a line is drawn with a
straight edge passing through the given point.
Learn more about perpendicular lines here:
brainly.com/question/11505244
P = m + n / -5
-5p = m + n ( because -5 was dividing with m + n so on an other side it will multiply )
-5p - m = n
Answer:
0 and 4
1 and 3
2 and 2
3 and 1
4 and 0
Step-by-step explanation:
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Any of these solutions will work
24)y=x-4
21) y=-3x+1
23) y=4/5x+6
Answer:
a)Slope: 
Intercept: 
b) ![r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B7625.9%7D%7B%5Csqrt%7B%5B1248.9%5D%5B94228.8%5D%7D%7D%3D0.657)
And the determination coeffecient is 
Step-by-step explanation:
Data given and definitions
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.
n=110, 
Part a
The slope is given by this formula:
If we replace we got:
We can find the intercept with the following formula
We can find the average for x and y like this:
And replacing we got:
Part b
In order to calculate the correlation coefficient we can use this formula:
![r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B%5Csum%20%28x-%5Cbar%20x%29%28y-%5Cbar%20y%29%20%7D%7B%5Csqrt%7B%5B%5Csum%20%28x-%5Cbar%20x%29%5E2%5D%5B%5Csum%28y-%5Cbar%20y%29%5E2%5D%7D%7D)
For our case we have this:
n=110,
So we can find the correlation coefficient replacing like this:
And the determination coeffecient is
