Y=3
..............................
8 < 4 (x + 1) Use the Distributive Property
8 < 4x + 4 Subtract 4 from both sides
4 < 4x Divide both sides by 4
1 < x
The given graph shows the relationship between the social media posts and grade point average of different students in Brent's class.
From the given graph, we can say that the grade point average of students decrease with increase in number of their social media posts.
Since grade point average decreases approximately linearly with increase in use of social media posts, It is Strong negative correlation.
Hence, option D is correct i.e. Strong Negative Correlation.
Hello :
the center of this cercle is : O( 0, 0)
calculate the slope m of the line : OA .. A (3,-4)
m= (yA - yO) / (xA- xO)
m = (-4-0)/(3-0)
m= -4/3
if : k the slope of the tangent : k×m = -1 (the tangent perpendiclar of : OA)
k× (-4/3) = -1
k = 3/4
an equation of this tangent is : y - (-4) = (3/4)(x-3)
Answer:
B
Step-by-step explanation:
we are given a equation of a line
we want to figure out the equation of the perpendicular line passes through the <u>(</u><u>6</u><u>,</u><u>5</u><u>)</u><u> </u>points
in order to do so
recall that,
![\displaystyle m_{ \text{perpendicular}} = - \frac{1}{m}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20m_%7B%20%5Ctext%7Bperpendicular%7D%7D%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7Bm%7D%20)
we got from our given equation that m=2
because equation of a line is y=mx+b
thus
![\displaystyle m_{ \text{perpendicular}} = - \frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20m_%7B%20%5Ctext%7Bperpendicular%7D%7D%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7B2%7D%20)
remember that, when we want to figure out perpendicular line or parallel line we should the formula given by
![\displaystyle y - y_{1} = m(x - x_{1})](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20y%20-%20%20y_%7B1%7D%20%3D%20m%28x%20-%20%20x_%7B1%7D%29)
since we got our perpendicular m is -½,
and
, substitute
![\displaystyle y - 5 = - \frac{1}{2} (x - 6)](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20y%20-%20%205%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20-%20%206%29)
to get the perpendicular equation you should simplify the above equation to y=mx+b form
distribute -½:
![\displaystyle y - 5 = - \frac{1}{2} x + 3](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20y%20-%20%205%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7B2%7D%20x%20%20%2B%203)
add 5 to both sides:
![\displaystyle y = - \frac{1}{2} x + 8](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20y%20%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7B2%7D%20x%20%20%2B%208)
hence,
our answer choice is B