Answer:
m= -3/2
Step-by-step explanation:
First, we must find the slope of the line given. We are given the equation:
y-2/3x=2
We must get this equation in slope-intercept form: y=mx+b (where m is the slope and b is the y-intercept). In order to do this, we must get y isolated.
2/3x is being subtracted from y. We want to preform the inverse, so we should add 2/3x to both sides.
y-2/3x+2/3x=2+2/3x
y=2+2/3x
Rearrange the terms.
y= 2/3x+2
Now the equation is in slope intercept form. (y=mx+b). 2/3 and x are being multiplied, so we know that the slope is 2/3.
Now, we have to find the perpendicular slope. Perpendicular lines have negative reciprocal slopes.
1. Negative
m=2/3
Negate the slope.
m= -2/3
2. Reciprocal
m= -2/3
Flip the numerator (top number) and denominator (bottom number).
m= -3/2
The perpendicular slope is -3/2
Answer:
x = 2
or 14.8
Step-by-step explanation:
First find the missing leg of the right triangle.
8²-3²=x²
x =
then double is to get x in the drawing
x = 2 or 14.8
Answer and Explanation:
Gender data is categorical as it can be sorted into two categories - males and females - and does not involve any numerical values.
Age data is ratio as each person's age is a numerical value and it has a natural zero as point of origin. Moreover, the numerical values cannot be negative.
Ethnicity data is categorical as the various ethnicities to which those surveyed can belong are separate categories. There are no numerical values involved.
Length of residency data is ratio as the length duration is measured in number of years, thus having a numerical value. There is also a natural zero as point of origin and no possible negative values.
Overall satisfaction with city services data is ordinal as it is based on a ranking from poor to excellent.
Quality of schools data is also ordinal as it involves a ranking or definite ordering of data - from poor to excellent.
The mid point would be (1,25.5)
