You need to find the change in x and y
change in x = 12
change in y = 16
to find the distance you use a^2+ b^2 = c^2
or in this case x^2 + y^2 = d^2
144+256 = 400
=20
so distance equals 20
I hope this helps!
Answer:
(61. 8181..., ~)
Step-by-step explanation:
-11/5x<-136
x>680/11
x>61. 8181...
Answer:
Option C) a positive correlation.
Step-by-step explanation:
We are given the following in the question:
" People who tend to score low on one variable tend to score low on another variable."
Correlation:
- Correlation is a technique that help us to find or define a linear relationship between two variables.
- It is a measure of linear relationship between two quantities.
- A positive correlation means that an increase in one quantity leads to an increase in another quantity or decrease in one quantity leads to decrease in another quantity.
- A negative correlation means with increase in one quantity the other quantity decreases.
- +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.
Since, for the given case with decrease in one variable other also decreases, thus, it is an example of positive correlation. Thus, the correlation coefficient cannot be less than or equal to zero.
Thus, the correct answer is
Option C) a positive correlation.
Check the picture below, you can pretty much count the units off the grid.
recall that the area of a triangle is A = (1/2)bh.
<span>The first part of the quadratic formula, x = - b/2a, is the equation of the axis of symmetry, and the x-coordinate of the vertex. </span>
<span>In standard form: - 2x² + 8x - 5 = 0, a = - 2, b = 8, c = - 5 </span>
<span>The axis of symmetry: x = - 8/2(- 2) = - 8/- 4 = 2 </span>
<span>Go back and solve for y to find the y-coordinate of the vertex. </span>
<span>y = - 2(2)² + 8(2) - 5 </span>
<span>y = - 2(4) + 16 - 5 </span>
<span>y = - 8 + 16 - 5 </span>
<span>y = 3 </span>
<span>Vertex is (2, 3)</span>