Let y= mx-2 be the tangent line to y=x^2-4x+2 at x=a.
Then slope, 
Hence the equation is y=(2a-4)x-2
Let's find y-coordinate at x=a using tangent line and curve.
Using tangent line y at x=a is (2a-4) a -2 
Using given curve y-coordinate at x=a is 
Let's equate these 2 y-coordinates,



a=2 or -2.
If a=2, 
If a=-2,
Hence m values are 0 and -8.
<h2>
The binomial is a factor of the polynomial.</h2>
Step-by-step explanation:
If a polynomial is divided by a binomial and the remainder is 0.
Then the binomial is a factor of the polynomial.
If a polynomial g(x) is divided by (x-a) ,it gives g(a) as remainder
Then g(x) = (x-a) Q(x) + g(a)
Hera g(a) = 0
So, g(x) = (x-a) Q(x)
It shows that (x-a) is a factor of g(x)
Answer:
B 2:1
Step-by-step explanation:
Distance between two points:
Suppose that we have two points,
and
. The distance between them is given by:

In this question:
The length of the segments are given by the distance between its endpoints.
Line segment AB on the coordinate plane stretches from (1,1) to (7,9).
So its length is:

Line segment CD stretches from (-2,3) to (2,6).

What is the ratio AB:CD of the lengths of these line segments?
10:5 = 2:1
So the correct answer is given by option B.
[67.9 %, 82.1 %] is the answer when it has 95% confidence interval for the proportion of test-takers who answered the question correctly. So the 95% confidence interval for the proportion of test takers is [67.9 %, 82.1 %] who answered the question correctly, In order to random sample of 144 test-takers and 75% answered question correctly. So the answer in this question is [67.9 %, 82.1 %].